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Landweber iterative regularization method for an inverse initial value problem of diffusion equation with local and nonlocal operators Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-05-03 Yanhui Li, Hongwu Zhang
ABSTRACT This paper considers an inverse initial value problem of diffusion equation with local and nonlocal operators. For this ill-posed problem, we give and prove a result of conditional stability. Meanwhile, Landweber iterative regularization method is used to overcome the ill-posedness, and based on the result of conditional stability, the convergence estimates of Hölder type for regularization
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Some combinatorial identities containing central binomial coefficients or Catalan numbers* Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-04-30 Feng Qi, Da-Wei Niu, Dongkyu Lim
In the article, by virtue of Maclaurin's expansions of the arcsine function and its square and cubic, the authors give a short proof of a sum formula of a Maclaurin's series with coefficients containing reciprocals of the Catalan numbers; establish four sum formulas for finite sums containing the ratio or product of two central binomial coefficients or the Catalan numbers.The instant proof simplifies
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Some identities related to degenerate r-Bell and degenerate Fubini polynomials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-04-27 Taekyun Kim, Dae San Kim, Jongkyum Kwon
Many works have been done in recent years as to explorations for degenerate versions of some special polynomials and numbers, which began with the pioneering work of Carlitz on the degenerate Bernoulli and degenerate Euler polynomials. This paper is focused on the study of some properties, recurrence relations and identities related to the degenerate r-Bell polynomials, the two variable degenerate
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A note on infinite series whose terms involve truncated degenerate exponentials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-04-27 Dae San Kim, Hyekyung Kim, Taekyun Kim
The degenerate exponentials are degenerate versions of the ordinary exponential and the truncated degenerate exponentials are obtained from the Taylor expansions of them by truncating the first finitely many terms. The degenerate exponentials play an important role in recent studies on degenerate versions of many special numbers and polynomials, the degenerate gamma function, the degenerate umbral
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Reciprocity of degenerate poly-Dedekind-type DC sums Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-04-16 Lingling Luo, Yuankui Ma, Wenpeng Zhang, Taekyun Kim
ABSTRACT Dedekind-type DC sums and their properties are defined in terms of Euler functions. Ma et al. recently introduced poly-Dedekind-type DC sums and demonstrated that they satisfy a reciprocity relation. In this paper, we introduce the degenerate poly-Euler polynomials and numbers, and we also consider the reciprocity relations of degenerate poly-Dedekind-type DC sums. Equivalently, several properties
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Disturbance observer-based fuzzy adaptive optimal finite-time control for nonlinear systems Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-04-14 Zidong Sun, Li Liang, Wei Gao
This paper investigates the issue of disturbance observer-based fuzzy adaptive optimal finite-time control in light of the backstepping approach for strict-feedback nonlinear systems with bias fault term and full state constraints. Considering that external disturbance and bias fault signal can affect the stability of control and control quality, a disturbance observer is constructed to track the external
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Degenerate 2D bivariate Appell polynomials: properties and applications Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-03-28 Shahid Ahmad Wani, Arundhati Warke, Javid Gani Dar
The development of certain aspects of hybrid special polynomials after incorporating monomiality principle, operational rules, and other properties and their aspects is obvious and indisputable. The study presented in this paper follows this line of research. By using the monomiality principle, new outcomes are produced, thus in line with prior facts, our aim is to introduce the degenerate 2D bivariate
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Operational matrix-based technique treating mixed type fractional differential equations via shifted fifth-kind Chebyshev polynomials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-03-10 Mohamed Obeid, Mohamed A. Abd El Salam, Jihad A. Younis
The theory of mixed fractional operators is still an uncovered area in fractional modelling. These multi-sided operators result by combining two fractional derivatives with different kernels, that is, the right-sided Caputo's and the left-sided Riemann–Liouville's fractional operators in a sequential manner. Although it may capture different memory phenomenons, there is no general approach to approximate
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Artificial neural network for solving the nonlinear singular fractional differential equations Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-03-09 Saeed Althubiti, Manoj Kumar, Pranay Goswami, Kranti Kumar
This paper proposes an artificial neural network (ANN) architecture for solving nonlinear fractional differential equations. The proposed ANN algorithm is based on a truncated power series expansion to substitute the unknown functions in the equations in this approach. Then, a set of algebraic equations is resolved using the ANN technique in an iterative minimization process. Finally, numerical examples
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Low-rank flat-field correction for artifact reduction in spectral computed tomography Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-03-06 Katrine Ottesen Bangsgaard, Genoveva Burca, Evelina Ametova, Martin Skovgaard Andersen, Jakob Sauer Jørgensen
Spectral computed tomography has received considerable interest in recent years since spectral measurements contain much richer information about the object of interest. In spectral computed tomography, we are interested in the energy channel-wise reconstructions of the object. However, such reconstructions suffer from a low signal-to-noise ratio and share the challenges of conventional low-dose computed
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On family of the Caputo-type fractional numerical scheme for solving polynomial equations Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-03-05 Mudassir Shams, Nasreen Kausar, Praveen Agarwal, Shilpi Jain, Mohammed Abdullah Salman, Mohd Asif Shah
Fractional calculus can be used to fully describe numerous real-world situations in a wide range of scientific disciplines, including natural science, social science, electrical, chemical, and mechanical engineering, economics, statistics, weather forecasting, and particularly biomedical engineering. Different types of derivatives can be useful when solving various fractional calculus problems. In
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A system of biadditive functional equations in Banach algebras Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-02-20 Yamin Sayyari, Mehdi Dehghanian, Choonkil Park
In this paper, we obtain the general solution and the Hyers-Ulam stability of the system of biadditive functional equations {2f(x+y,z+w)−g(x,z)−g(x,w)=g(y,z)+g(y,w)g(x+y,z+w)−2f(x−y,z−w)=4f(x,w)+4f(y,z) in complex Banach spaces. Furthermore, we prove the Hyers–Ulam stability of f-biderivations in complex Banach algebras.
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On the solution of generalized time-fractional telegraphic equation Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-02-10 Kholoud Saad Albalawi, Rachana Shokhanda, Pranay Goswami
In this article, we have introduced a nonlinear extension of the generalized time-fractional telegraph equation (TFTE). Further, an analytical solution to this equation has been obtained by using the Laplace homotopy perturbation method (LHPM). Some known results are also discussed as special cases which supports the strength and viability of the work.
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Optimal control analysis of a COVID-19 model Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-02-07 Zenebe Shiferaw Kifle, Legesse Lemecha Obsu
In this paper, an optimal control model for the transmission dynamics of COVID-19 is investigated. We established important model properties like nonnegativity and boundedness of solutions, and also the region of invariance. Further, an expression for the basic reproduction number is computed and its sensitivity w.r.t model parameters is carried out to identify the most sensitive parameter. Based on
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A reliable multi-resolution collocation algorithm for nonlinear Schrödinger equation with wave operator Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-02-03 Weidong Lei, Muhammad Ahsan, Masood Ahmad, Muhammad Nisar, Zaheer Uddin
The solution of a nonlinear hyperbolic Schrödinger equation (NHSE) is proposed in this paper using the Haar wavelet collocation technique (HWCM). The central difference technique is applied to handle the temporal derivative in the NHSE and the finite Haar functions are introduced to approximate the space derivatives. After linearizing the NHSE, it is transformed into full algebraic form with the help
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Fuzzy differential subordination related to strongly Janowski functions Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-31 Bushra Kanwal, Saqib Hussain, Afis Saliu
The research presented in this paper concerns the notion of geometric function theory called fuzzy differential subordination. Using the technique associated with fuzzy differential subordination, a new subclass of analytic functions related with the strongly Janowski-type functions is defined. The class is introduced by using a new operator defined by the convolution of the generalized Sălăgean differential
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Optimal control analysis of coffee berry borer infestation in the presence of farmer's awareness Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-29 Mohammedsultan Abaraya Abawari, Legesse Lemecha Obsu, Abdisa Shiferaw Melese
Coffee is the most critical stimulant beverage in the world and represents a significant source of income in many tropical and subtropical countries. In this paper, a deterministic mathematical model has been formulated to describe the infestation dynamic of coffee berry borer (CBB) using a system of non-linear ordinary differential equations with farmers' awareness and optimal control. The system
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Power function and binomial series on Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-25 Seçil Gergün, Burcu Silindir, Ahmet Yantir
This article is devoted to present (q,h)-analogue of power function which satisfies additivity and derivative properties similar to the ordinary power function. In the light of nabla (q,h)-power function, we present (q,h)-analogue of binomial series and conclude that such power function is (q,h)-analytic. We prove the analyticity by showing that both the power function and its absolutely convergent
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Analysis of the family of integral equation involving incomplete types of I and Ī-functions Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-23 Sanjay Bhatter, Kamlesh Jangid, Shyamsunder Kumawat, Dumitru Baleanu, D. L. Suthar, Sunil Dutt Purohit
ABSTRACT The present article introduces and studies the Fredholm-type integral equation with an incomplete I-function (IIF) and an incomplete I¯-function (I I¯F) in its kernel. First, using fractional calculus and the Mellin transform principle, we solve an integral problem involving IIF. The idea of the Mellin transform and fractional calculus is then used to analyse an integral equation using the
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Dynamical analysis fractional-order financial system using efficient numerical methods Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-21 Wei Gao, P. Veeresha, Haci Mehmet Baskonus
The motivation of this work is to analyse the nonlinear models and their complex nature with generalized tools associated with material and history-based properties. With the help of well-known and widely used numerical scheme, we study the stimulating behaviours of the financial system in this work. The impact of parameters on price index, rate of interest, investment demand, influence changes and
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A Bayesian approach to CT reconstruction with uncertain geometry Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-21 Frederik Hagsholm Pedersen, Jakob Sauer Jørgensen, Martin Skovgaard Andersen
ABSTRACT Computed tomography (CT) is a method for synthesizing volumetric or cross-sectional images of an object from a collection of projections. Popular reconstruction methods for CT are based on the assumption that the projection geometry, which describes the relative location and orientation of the radiation source, object, and detector for each projection, is exactly known. However, in practice
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A theoretical view of existence results by using fixed point theory for quasi-variational inequalities Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-21 Min Wang, Yeliz Karaca, Mati ur Rahman, Mi Zhou
In this paper, we present new existence results for the quasi-variational inequality problem (QV I) in reflexive Banach spaces using the fixed point method with quasi-monotonicity and local upper sign-continuity assumptions. These results improve upon previous ones which only required a weaker monotonicity condition and did not impose compactness on the involved set.
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Existence and uniqueness of the solution to a second-order nonlinear dynamical system model with an unbounded variable and a discontinuous input Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-09 Jing Xu, Qiuguo Zhu, Jun Wu, Rong Xiong
We consider an initial value problem for a second-order nonlinear dynamical system that allows discontinuous inputs. In this problem, one state variable is restricted in a closed and bounded interval while the other state variable is unlimited. The existence and uniqueness of the solution to this problem is studied in a time interval determined by two adjacent instants at which the input may be discontinuous
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Learning rate selection in stochastic gradient methods based on line search strategies Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-09 Giorgia Franchini, Federica Porta, Valeria Ruggiero, Ilaria Trombini, Luca Zanni
Finite-sum problems appear as the sample average approximation of a stochastic optimization problem and often arise in machine learning applications with large scale data sets. A very popular approach to face finite-sum problems is the stochastic gradient method. It is well known that a proper strategy to select the hyperparameters of this method (i.e. the set of a-priori selected parameters) and,
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Applications of Elzaki decomposition method to fractional relaxation-oscillation and fractional biological population equations Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2023-01-05 Lata Chanchlani, Mohini Agrawal, Rupakshi Mishra Pandey, Sunil Dutt Purohit, D. L. Suthar
Elzaki decomposition method (EDM) is adopted to deal with the fractional-order relaxation and damped oscillation equation along with time-fractional spatial diffusion biological population model in different suitable habitat situations. In accordance with the graphs for the solutions obtained, the fractional relaxation exhibits super-slow phenomenon due to its extended descent, and fractional damped
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Comprehending the model of omicron variant using fractional derivatives Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-12-30 Shivani Sharma, Pranay Goswami, Dumitru Baleanu, Ravi Shankar Dubey
ABSTRACT The world is grappled with an unprecedented challenges due to Corona virus. We are all battling this epidemic together, but we have not been able to defeat this epidemic yet. A new variant of this virus, named ‘Omicron’ is spreading these days. The fractional differential equations are providing us with better tools to study the mathematical model with memory effects. In this paper, we will
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An efficient one-step proximal method for EIT sparse reconstruction based on nonstationary iterated Tikhonov regularization Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-12-30 Jing Wang
ABSTRACT Image reconstruction of EIT mathematically is a seriously ill-posed inverse problem, which is easily affected by measurement noise. This fact leads to a relatively low spatial resolution, particularly in the accuracy of identifying object boundaries. This paper concerns with reconstructing a finite number of simple and small inclusions equipped with the homogeneous background conductivity
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On generalized degenerate Euler–Genocchi polynomials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-12-30 Taekyun Kim, Dae San Kim, Hye Kyung Kim
ABSTRACT We introduce the generalized degenerate Euler–Genocchi polynomials as a degenerate version of the Euler–Genocchi polynomials. In addition, we introduce their higher-order version, namely the generalized degenerate Euler–Genocchi polynomials of order α, as a degenerate version of the generalized Euler–Genocchi polynomials of order α. The aim of this paper is to study certain properties and
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A new family of Apostol–Genocchi polynomials associated with their certain identities Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-12-30 Nabiullah Khan, Saddam Husain, Talha Usman, Serkan Araci
ABSTRACT In this paper, we provide a generating function for mix type Apostol–Genocchi polynomials of order η associated with Bell polynomials. We also derive certain important identities of Apostol Genocchi polynomials of order η based on Bell polynomials, such as the correlation formula, the implicit summation formula, the derivative formula, some correlation with Stirling numbers and their special
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Selecting cloud database services provider through multi-attribute group decision making: a probabilistic uncertainty linguistics TODIM model Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-12-28 Thi Minh Hang Nguyen, V. P. Nguyen, D. T. Nguyen
Cloud database services platforms (CDSP) have aided in both the generation of new ideas and the reduction of costs. Choosing the finest CDSP is a critical part of enterprise management for helping businesses respond to increasing market pressure and client demand. This study tried to solve this problem and proposed the integration concept of the TODIM (TOmada de Decisão Interativa e Multicritério)
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Finite-time stability of set switched systems with non-instantaneous impulses Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-12-11 Peiguang Wang, Mengyu Guo, Junyan Bao
ABSTRACT In this paper, we discuss the finite-time stability of set switched systems with non-instantaneous impulses which consist of stable and unstable subsystems through introducing a revised mode-dependent average dwell time method. By designing time-dependent switching law and using the multiple Lyapunov-like functions method, the finite-time stability criteria of set switched systems with non-instantaneous
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Existence, uniqueness and stability of solutions to fractional backward stochastic differential equations Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-11-27 Jiahao Chen, Suoao Ke, Xiaofei Li, Wenbo Liu
ABSTRACT Many types of fractional stochastic differential equation (FrSDE), such as Caputo, fractional Brown motion derivatives, and Mittag-Later functions, exist. In recent decades, FrSDE has been a hot topic and can be applied to many fields of research, such as disease transmission, option pricing, and quantitative finance. FrSDEs have various research and applications in financial markets. After
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Highly efficient numerical scheme for solving fuzzy system of linear and non-linear equations with application in differential equations Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-11-22 Mudassir Shams, Nasreen Kausar, Praveen Agarwal, Shaher Momani, Mohd Asif Shah
ABSTRACT In this research, we suggested a numerical iterative scheme for investigating the numerical solution of fuzzy linear and nonlinear systems of equations, particularly where the linear or nonlinear system co-efficient is a crisp number and the right-hand side vector is a triangular fuzzy number. Triangular fuzzy systems of linear and nonlinear equations play a critical role in a variety of engineering
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Application of constrained coefficient fuzzy linear programming in medical electrical impedance tomography Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-11-20 Mingliang Ding, Xiaotong Li, Shuaibo Zhao
Electrical impedance tomography (EIT) is an imaging technique that realizes the image reconstruction of conductivity distribution in the field. The existing EIT algorithms ignore the hidden fuzzy features during imaging, making the EIT technique exhibit a high degree of uncertainty, imprecision, incompleteness, and inconsistency in the actual use process, resulting in a low spatial resolution of the
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Contaminant transport analysis under non-linear sorption in a heterogeneous groundwater system Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-10-31 Rashmi Radha, Rakesh Kumar Singh, Mritunjay Kumar Singh
In this study, a one-dimensional non-linear advection–dispersion equation subject to spatial–temporal dependent advection and dispersion coefficients is solved for a heterogeneous groundwater system. The non-linearity of the governing equation is based on the Freundlich and Langmuir sorption isotherms. The groundwater flow is considered to vary exponentially with time. Also, a generalized theory of
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Efficient iterative scheme for solving non-linear equations with engineering applications Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-10-19 Mudassir Shams, Nasreen Kausar, Praveen Agarwal, Georgia Irina Oros
ABSTRACT A family of three-step optimal eighth-order iterative algorithm is developed in this paper in order to find single roots of nonlinear equations using the weight function technique. The newly proposed iterative methods of eight order convergence need three function evaluations and one first derivative evaluation that satisfies the Kung–Traub optimality conjecture in terms of computational cost
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Solving multiple windowed STFT phase retrieval problems in phase and amplitude respectively Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-09-26 Xianchen Zhou, Hongxia Wang
We study the Phase Retrieval (PR) problem under the phaseless short-time Fourier transform (STFT) measurements. This paper proposes a novel algorithm named PAR to solve the STFT PR problem in phase and amplitude respectively with a milder retrieval condition compared with the original methods. First, a symmetric undirected graph of signals is proposed for the computation of the relative phase. Then
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Numerical modeling on age-based study of coronavirus transmission Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-09-22 Shyamsunder Kumawat, S. Bhatter, D. L. Suthar, S. D. Purohit, Kamlesh Jangid
Ethiopia is one of the countries highly affected by the COVID-19 pandemic in Africa. A new study has looked at the transmission dynamics of the outbreak in Ethiopia based on the age categories of the infected individuals. Infected individuals are divided into three age categories (less than 14 years (I 1), 15–54 years (I 2), and above 54 years I 3). Chebyshev polynomial of the fourth kind is used to
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Sensitivity analysis for active electromagnetic field manipulation in free space Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-09-19 Chaoxian Qi, Neil Jerome A. Egarguin, Shubin Zeng, Daniel Onofrei, Jiefu Chen
This paper presents a detailed sensitivity analysis of the active manipulation scheme for electromagnetic (EM) fields in free space. The active EM fields control strategy is designed to construct surface current sources (electric and/or magnetic) that can manipulate the EM fields in prescribed exterior regions. The active EM field control is formulated as an inverse source problem. We follow the numerical
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Atangana–Baleanu derivative-based fractional model of COVID-19 dynamics in Ethiopia Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-09-14 Mulualem Aychluh, S. D. Purohit, P. Agarwal, D. L. Suthar
The paper's main aim is to investigate the 2019 coronavirus disease in Ethiopia using a fractional-order mathematical model. It would also focus on the importance of fractional-order derivatives that may help us in modelling the system and understanding the effect of model parameters and fractional derivative orders on the approximate solutions of our model. A SELAIQHCR model is constructed using nonlinear
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Groundwater flow in karstic aquifer: analytic solution of dual-porosity fractional model to simulate groundwater flow Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-09-04 Mahaveer Prasad Yadav, Ritu Agarwal, Sunil Dutt Purohit, Devendra Kumar, Daya Lal Suthar
ABSTRACT Karst aquifers have a very complex flow system because of their high spatial heterogeneity of void distribution. In this manuscript, flow simulation has been used to investigate the flow mechanism in a fissured karst aquifer with double porosity, revealing how to connect exchange and storage coefficients to the volumetric density of the highly permeable form of media. The governing space-time
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Poisson degenerate central moments related to degenerate Dowling and degenerate r-Dowling polynomials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-09-02 Taekyun Kim, Dae San Kim, Hye Kyung Kim
ABSTRACT Degenerate Dowling and degenerate r-Dowling polynomials were introduced earlier as degenerate versions and further generalizations of Dowling and r-Dowling polynomials. The aim of this paper is to show their connections with Poisson degenerate central moments for a Poisson random variable with a certain parameter and with Charlier polynomials.
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The higher-order type 2 Daehee polynomials associated with p-adic integral on p Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-08-24 Waseem Ahmad Khan, Jihad Younis, Ugur Duran, Azhar Iqbal
In this paper, the higher-order type 2 Daehee polynomials are introduced and some of their relations and properties are derived. Then, some p-adic integral representations of not only higher-order type 2 Daehee polynomials and numbers but also type 2 Daehee polynomials and numbers are acquired. Several identities and relations related to both central factorial numbers of the second kind and Stirling
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Partial sums of analytic functions defined by binomial distribution and negative binomial distribution Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-08-09 Rubab Nawaz, Saira Zainab, Fairouz Tchier, Qin Xin, Afis Saliu, Sarfraz Nawaz Malik
ABSTRACT The study of statistical distributions in a complex variable is one of the most vibrant areas of research. The complex analogue of many distributions has been studied. This article introduces the complex analogue of Binomial distribution and Negative Binomial distribution and studies certain geometrical properties of these analogues. It comprises the study of analytic functions defined by
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Peakon solutions of a b-Novikov equation Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-07-13 Aggeliki G. Efstathiou, Eugenia N. Petropoulou
The homotopy analysis method is applied to a b-Novikov equation in order to obtain analytic approximations of its peakon solution for various values of b. The results demonstrate that there is an excellent agreement between the approximate solution and the known exact peakon solution of the equation. Moreover, the amplitude of the peakon is approximated and a conservation property of the obtained solution
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A fast iterative method for identifying the radiogenic source for the helium production-diffusion equation Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-07-08 Zhengqiang Zhang, Yuan-Xiang Zhang
ABSTRACT In this paper, we consider an inverse source problem for the helium production-diffusion equation. That is to determine a space-dependent source term in the helium production-diffusion equation from a noisy final data. Since the problem is ill-posed, we propose an effective iterative scheme to deal with the problem. More specifically, we use an acceleration technique to speed up a simple iterative
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Applications of q-derivative operator to subclasses of bi-univalent functions involving Gegenbauer polynomials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-06-21 Qiuxia Hu, Timilehin Gideon Shaba, Jihad Younis, Bilal Khan, Wali Khan Mashwani, Murat Çağlar
ABSTRACT In recent years, using the idea of analytic and bi-univalent functions, many ideas have been developed by different well-known authors, but the using Gegenbauer polynomials along with certain bi-univalent functions is very rare in the literature. We are essentially motivated by this recent research going on, here in our present investigation, we make use of certain q-derivative operator and
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Asymptotic series solution of variational big letter problems in planar domain with crack-like singularity Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-06-18 Victor A. Kovtunenko, Kohji Ohtsuka
A class of nonlinear variational problems describing incompressible fluids and solids by stationary Stokes equations given in a planar domain with a crack (infinitely thin flat plate in fluids) is considered. Based on the Fourier asymptotic analysis, general analytical solutions are obtained in polar coordinates as the power series with respect to the distance to the crack tip. The logarithm terms
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Identification method of excitation forces based on Kalman filter Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-06-16 Xiao-Ang Liu, Bo Gao, Yechi Ma, Xing Jia, Bo Xu, Sen Xiao
To identify the excitation forces of a vibration system, two identification methods are proposed, which take the displacement and acceleration responses of the system as input parameters. These two methods are based on the Kalman filter and minimum variance estimation method. The accumulation of identification errors in the iterative process is prevented through the non-iterative identification formula
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Synthesis of dielectric-loaded waveguide filters as an inverse problem Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-06-01 Ahmet Aydoğan, Funda Akleman
ABSTRACT A design strategy is proposed for microwave devices built with dielectric-loaded waveguides having one- or two-dimensional discontinuity profiles. The problem is formulated as an inverse problem where the pre-defined scattering parameters are aimed to be the final response of the system. This goal is achieved by optimizing the dimensions of the filling materials. To increase the success of
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Damage identification of thin plates using multi-stage PSOGSA and incomplete modal data Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-06-02 Subhajit Das, Nirjhar Dhang
The present work proposes a multi-stage optimization technique for damage detection of the thin plate-like structure using sparse modal data collected from the limited sensors. The response of the thin plate structures is obtained from a finite element model, which is developed with constant strain triangle elements. The iterated improved reduction system (IIRS) is applied to simulate the state of
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Normal ordering of degenerate integral powers of number operator and its applications Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-05-30 Taekyun Kim, Dae San Kim, Hye Kyung Kim
The normal ordering of an integral power of the number operator in terms of boson operators is expressed with the help of the Stirling numbers of the second kind. As a ‘degenerate version’ of this, we consider the normal ordering of a degenerate integral power of the number operator in terms of boson operators, which is represented by means of the degenerate Stirling numbers of the second kind. As
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Construction of partially degenerate Laguerre–Bernoulli polynomials of the first kind Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-05-27 Waseem A. Khan, Jihad Younis, Mohd Nadeem
ABSTRACT In this paper, we introduce partially degenerate Laguerre–Bernoulli polynomials of the first kind and deduce some relevant properties by using a preliminary study of these polynomials. We derive some theorems on implicit summation formulae for partially degenerate Laguerre–Bernoulli polynomials of the first kind LBj(ξ,η|λ). Finally, we derive some symmetry identities for partially degenerate
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On the behaviour of derivative of algebraic polynomials in the regions with cusps Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-05-18 N. P. Özkartepe
In this paper, we study the behavior of derivatives of algebraic polynomials in bounded and unbounded regions of the complex plane. At the same time, both interior and exterior cusp points are allowed on the boundary of such regions. Bernstein-Walsh-type estimates are obtained for derivatives of algebraic polynomials in the specified region with corners for exterior points, as well as Markoff-type
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Conjugate gradient method for simultaneous identification of the source term and initial data in a time-fractional diffusion equation Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-05-16 Jin Wen, Zhuan-Xia Liu, Shan-Shan Wang
In this paper, we consider the simultaneous inversion of the source term and the initial data for a time-fractional diffusion equation based on the additional temperatures at two fixed times t=T1 and t=T2. The inverse problem is formulated on the basis of the Fourier method as an operator equation of the first kind. For the overdetermined system of linear equations, we apply the conjugate gradient
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Load parameter identification of wind turbine rotor involving probability and interval variables Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-04-18 Wengui Mao, Jianhua Li, Shixiong Pei, Zhonghua Huang
Knowledge of the load parameters of wind turbine rotor is the key problem to eliminate the misalignment of wind turbine. In this paper, an inverse method for identifying the load parameters with imprecise information is investigated by using the probability and interval variables. The interval variables are dealt with interval analysis, only the bounds of the structure response are needed avoiding
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On the growth of mth derivatives of algebraic polynomials in the weighted Lebesgue space Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-04-04 F. G. Abdullayev, M. Imashkyzy
In this paper, we study the growth of the mth derivative of an arbitrary algebraic polynomial in bounded and unbounded general domains of the complex plane in weighted Lebesgue spaces. Further, we obtain estimates for the derivatives at the closure of this regions. As a result, estimates for derivatives on the entire complex plane were found.
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A new class of Gould-Hopper-Eulerian-type polynomials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-04-04 Abdulghani Muhyi
In the present research work, two considerable special polynomials, Gould-Hopper polynomials and Eulerian-type polynomials are coalesced to introduce the parametric kinds of Gould-Hopper-Eulerian-type polynomials. Utilizing the operational method, the generating functions, series expansions, and differential equations for these polynomials are constructed. Various considerable identities and relations
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Some properties on degenerate Fubini polynomials Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-03-28 Taekyun Kim, Dae San Kim, Hye Kyung Kim, Hyunseok Lee
The nth Fubini number enumerates the number of ordered partitions of a set with n elements and is the number of possible ways to write the Fubini formula for a summation of integration of order n. Further, Fubini polynomials are natural extensions of the Fubini numbers. There are many variants of Fubini numbers and polynomials. Recently, the degenerate Fubini polynomials were introduced by Kim-Kim-Jang
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Inverse boundary problem in estimating heat transfer coefficient of a round pulsating bubbly jet: design of experiment Appl. Math. Sci. Eng. (IF 1.3) Pub Date : 2022-03-15 Honeyeh Razzaghi, Farshad Kowsary, Mohammad Layeghi
An inverse algorithm is developed to estimate the transient convective coefficient distribution of a pulsating bubbly jet impinging on a cylindrical thermal mass. Cooling of the thermal mass is simulated by solving the two-dimensional transient heat equation in a cylindrical coordinate system using the finite difference method. The sum of squared differences between calculated and measured temperature