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Similarity of : Operators and the Hyperinvariant Subspace Problem J. Math. (IF 1.4) Pub Date : 2024-4-17 Abdelkader Segres, Ahmed Bachir, Sid Ahmed Ould Ahmed Mahmoud
In the present paper, we first show that the existence of the solutions of the operator equation is related to the similarity of operators of class , and then we give a sufficient condition for the existence of nontrivial hyperinvariant subspaces. These subspaces are the closure of for some singular inner functions . As an application, we prove that every -quasinormal operator and -centered operator
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The Weak (Gorenstein) Global Dimension of Coherent Rings with Finite Small Finitistic Projective Dimension J. Math. (IF 1.4) Pub Date : 2024-4-17 Khaled Alhazmy, Fuad Ali Ahmed Almahdi, Younes El Haddaoui, Najib Mahdou
The small finitistic dimension of a ring is determined as the supremum projective dimensions among modules with finite projective resolutions. This paper seeks to establish that, for a coherent ring with a finite weak (resp. Gorenstein) global dimension, the small finitistic dimension of is equal to its weak (resp. Gorenstein) global dimension. Consequently, we conclude some new characterizations for
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On the Leonardo Sequence via Pascal-Type Triangles J. Math. (IF 1.4) Pub Date : 2024-4-16 Serpil Halıcı, Sule Curuk
In this study, we discussed the Leonardo number sequence, which has been studied recently and caught more attention. We used Pascal and Hosoya-like triangles to make it easier to examine the basic properties of these numbers. With the help of the properties obtained in this study, we defined a number sequence containing the new type of Leonardo numbers created by choosing the coefficients from the
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A Crude Oil Spot Price Forecasting Method Incorporating Quadratic Decomposition and Residual Forecasting J. Math. (IF 1.4) Pub Date : 2024-4-15 Yonghui Duan, Ziru Ming, Xiang Wang
The world economy is affected by fluctuations in the price of crude oil, making precise and effective forecasting of crude oil prices essential. In this study, we propose a combined forecasting scheme, which combines a quadratic decomposition and optimized support vector regression (SVR). In the decomposition part, the original crude oil price series are first decomposed using empirical modal decomposition
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Some New Identities Related to Dedekind Sums Modulo a Prime J. Math. (IF 1.4) Pub Date : 2024-4-15 Jiayuan Hu
The main purpose of this article is to use some identities of the classical Gauss sums, the properties of character sums, and Dedekind sums (modulo an odd prime) to study the computational problem of one-kind mean values related to Dedekind sums and give some interesting identities for them.
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The Stability of Multi-Coefficients Pexider Additive Functional Inequalities in Banach Spaces J. Math. (IF 1.4) Pub Date : 2024-4-12 Yang Liu, Gang Lyu, Yuanfeng Jin, Jiangwei Yang
The Hyers–Ulam stability of multi-coefficients Pexider additive functional inequalities in Banach spaces is investigated. In order to do this, the fixed point method and the direct method are used.
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Analysis of Prey-Predator Scheme in Conjunction with Help and Gestation Delay J. Math. (IF 1.4) Pub Date : 2024-4-10 M. Mukherjee, D. Pal, S. K. Mahato, Ebenezer Bonyah, Ali Akbar Shaikh
This paper presents a three-dimensional continuous time dynamical system of three species, two of which are competing preys and one is a predator. We also assume that during predation, the members of both teams of preys help each other and the rate of predation of both teams is different. The interaction between prey and predator is assumed to be governed by a Holling type II functional response and
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Enveloping Dual Banach Algebras and Approximate Properties J. Math. (IF 1.4) Pub Date : 2024-4-9 N. Razi, A. Pourabbas
Suppose that is a Banach algebra and is its enveloping dual Banach algebra, we show that is approximately contractible (approximately amenable) if has the same property. Also, we study the relation between the pseudoamenability of and the pseudoamenability of the second dual and we also characterize approximate biflatness and approximate biprojectivity of associated with approximate biflatness and
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Mathematical Modelling of B2C Consumer Product Supply Strategy Based on Nonessential Demand Pattern J. Math. (IF 1.4) Pub Date : 2024-4-2 Zhiyi Zhuo, Shuhong Chen, Hong Yan
The influence of consumer psychological effects on customer needs has become a normal state of product sales models in the consumer goods supply chain field. The literature lacks systematic research on the mechanism through which consumer psychological effects affect customer needs. On the basis of analyzing and sorting out the literature and viewpoints, this paper establishes a mathematical model
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Some New Families of Exact Solitary Wave Solutions for Pseudo-Parabolic Type Nonlinear Models J. Math. (IF 1.4) Pub Date : 2024-3-31 Akhtar Hussain, Hassan Ali, M. Usman, F. D. Zaman, Choonkil Park
The objective of the current study is to provide a variety of families of soliton solutions to pseudo-parabolic equations that arise in nonsteady flows, hydrostatics, and seepage of fluid through fissured material. We investigate a class of such equations, including the one-dimensional Oskolkov (1D OSK), the Benjamin-Bona-Mahony (BBM), and the Benjamin-Bona-Mahony-Peregrine-Burgers (BBMPB) equation
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Research on Classroom Teaching Quality Evaluation of Chinese International Education in Higher-Education Institutions Based on EDAS Method and Euclidean Distance J. Math. (IF 1.4) Pub Date : 2024-3-28 Wei Li, Jia Song, Gangling Liu
In the classroom teaching of Chinese international education (CIE), teachers will face different types of problems. Teachers should focus on each teaching link, identify key and difficult points, teach students in line with their aptitude, and emphasize communication with students to improve the classroom teaching quality in CIE. The classroom teaching quality evaluation of CIE in higher-education
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Local Automorphisms and Local Superderivations of Model Filiform Lie Superalgebras J. Math. (IF 1.4) Pub Date : 2024-3-27 Yuqiu Sheng, Wende Liu, Yang Liu
In this paper, we give the forms of local automorphisms (resp. superderivations) of model filiform Lie superalgebra in the matrix version. Linear 2-local automorphisms (resp. superderivations) of are also characterized. We prove that each linear 2-local automorphism of is an automorphism.
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Solitons of the Twin-Core Couplers with Fractional Beta Derivative Evolution in Optical Metamaterials via Two Distinct Methods J. Math. (IF 1.4) Pub Date : 2024-3-27 Meryem Odabasi Koprulu, Zehra Pinar Izgi
The rapid advancements in metamaterial research have brought forth a new era of possibilities for controlling and manipulating light at the nanoscale. In particular, the design and engineering of optical metamaterials have created advances in the field of photonics, enabling the development of advanced devices with unprecedented functionalities. Among the myriad of intriguing metamaterial structures
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Solving a Fractional Differential Equation via the Bipolar Parametric Metric Space J. Math. (IF 1.4) Pub Date : 2024-3-27 Mohammad Imam Pasha, Kotha Rama Koteswara Rao, Gunaseelan Mani, Arul Joseph Gnanaprakasam, Santosh Kumar
In this paper, we propose the notion of the bipolar parametric metric space and prove fixed point theorems. The proved results generalize and extend some of the well-known results in the literature. An example and application to support our result is presented.
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The Hautus-Type Inequality for Abstract Fractional Cauchy Problems and Its Observability J. Math. (IF 1.4) Pub Date : 2024-3-23 Li Chen-Yu
In this paper, we investigate the observability of the fractional resolvent family, and we prove two main results: the first result shows a generalization of the Hautus-type test for observable exponentially stable semigroups to the fractional resolvent family and the second result shows the equivalence of the observability and the below boundedness of the linear operator on the wave packet when the
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Some Topological Approaches of Rough Sets through Minimal Neighborhoods and Decision Making J. Math. (IF 1.4) Pub Date : 2024-3-19 Ismail T. Shbair, Amgad S. Salama, Osama A. Embaby, Abdelfattah A. El-Atik
Rough set has an important role to deal with uncertainty objects. The aim of this article is to introduce some kinds of generalization for rough sets through minimal neighborhoods using special kinds of binary relations. Moreover, four different types of dual approximation operators will be constructed in terms of minimal neighborhoods. The comparison between these types of approximation operators
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A Two-Objective Model for the Multilevel Supply Chain of Blood Products with the Approach of Reducing the Rate of Contagion under the (COVID-19) Epidemic Outbreak Conditions J. Math. (IF 1.4) Pub Date : 2024-3-19 Abolfazl Moghimi Esfandabadi, Davood Shishebori, Mohammad-Bagher Fakhrzad, Hassan Khademi Zare
The conditions of the coronavirus epidemic have put much pressure on the healthcare system. This disease has hurt the blood supply through the reduction of blood donation and the reduction of access to suitable collection facilities due to dysfunction. Considering the importance of the subject, the purpose of this paper is to design a two-level supply chain network for blood products with the approach
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Theory and Application of Interval-Valued Neutrosophic Line Graphs J. Math. (IF 1.4) Pub Date : 2024-3-19 Keneni Abera Tola, V. N. Srinivasa Rao Repalle, Mamo Abebe Ashebo
Neutrosophic graphs are used to model inconsistent information and imprecise data about any real-life problem. It is regarded as a generalization of intuitionistic fuzzy graphs. Since interval-valued neutrosophic sets are more accurate, compatible, and flexible than single neutrosophic sets, interval-valued neutrosophic graphs (IVNGs) were defined. The interval-valued neutrosophic graph is a fundamental
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Thermal Analysis of a Casson Boundary Layer Flow over a Penetrable Stretching Porous Wedge J. Math. (IF 1.4) Pub Date : 2024-3-18 Dur-e-Shehwar Sagheer, Mohammad Alqudah, Nawal A. Alshehri, M. Sabeel Khan, M. Asif Memon, R. Shehzad, Amsalu Fenta
This work aims to analyze the Casson thermal boundary layer flow over an expanding wedge in a porous medium with convective boundary conditions and ohmic heating. Moreover, the effects of porosity and viscous dissipation are studied in detail and included in the analysis. The importance of this study is due to its applications in biomedical engineering where the analysis of behavior of non-Newtonian
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A Second-Order Finite-Difference Method for Derivative-Free Optimization J. Math. (IF 1.4) Pub Date : 2024-3-15 Qian Chen, Peng Wang, Detong Zhu
In this paper, a second-order finite-difference method is proposed for finding the second-order stationary point of derivative-free nonconvex unconstrained optimization problems. The forward-difference or the central-difference technique is used to approximate the gradient and Hessian matrix of objective function, respectively. The traditional trust-region framework is used, and we minimize the approximation
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Study of Nonlinear Second-Order Differential Inclusion Driven by a Laplacian Operator Using the Lower and Upper Solutions Method J. Math. (IF 1.4) Pub Date : 2024-3-14 Droh Arsène Béhi, Assohoun Adjé, Konan Charles Etienne Goli
In this paper, we study a second-order differential inclusion under boundary conditions governed by maximal monotone multivalued operators. These boundary conditions incorporate the classical Dirichlet, Neumann, and Sturm–Liouville problems. Our method of study combines the method of lower and upper solutions, the analysis of multivalued functions, and the theory of monotone operators. We show the
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A Convergent Legendre Spectral Collocation Method for the Variable-Order Fractional-Functional Optimal Control Problems J. Math. (IF 1.4) Pub Date : 2024-3-9 Zahra Pirouzeh, Mohammad Hadi Noori Skandari, Kameleh Nassiri Pirbazari
In this paper, a numerical method is applied to approximate the solution of variable-order fractional-functional optimal control problems. The variable-order fractional derivative is described in the type III Caputo sense. The technique of approximating the optimal solution of the problem using Lagrange interpolating polynomials is employed by utilizing the shifted Legendre–Gauss–Lobatto collocation
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On a Perturbed Risk Model with Time-Dependent Claim Sizes J. Math. (IF 1.4) Pub Date : 2024-3-7 Longfei Wei, Jia Hao, Shiyu Song, Zhenhua Bao
We consider a risk model perturbed by a Brownian motion, where the individual claim sizes are dependent on the inter-claim times. We study the Gerber–Shiu functions when ruin is due to a claim or the jump-diffusion process. Integro-differential equations and Laplace transforms satisfied by the Gerber–Shiu functions are obtained. Then, it is shown that the expected discounted penalty functions satisfy
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On Partial Exact Controllability of Fractional Control Systems in Conformable Sense J. Math. (IF 1.4) Pub Date : 2024-3-7 Maher Jneid
In this work, we investigate the partial exact controllability of fractional semilinear control systems in the sense of conformable derivatives. Initially, we establish the existence and uniqueness of the mild solution for this type of fractional control systems. Then, by employing a contraction mapping principle, we obtain sufficient conditions for the conformable fractional semilinear system to be
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Distance-Based Fractional Dimension of Certain Wheel Networks J. Math. (IF 1.4) Pub Date : 2024-3-4 Hassan Zafar, Muhammad Javaid, Mamo Abebe Ashebo
Metric dimension is one of the distance-based parameters which are used to find the position of the robot in a network space by utilizing lesser number of notes and minimum consumption of time. It is also used to characterize the chemical compounds. The metric dimension has a wide range of applications in the field of computer science such as integer programming, radar tracking, pattern recognition
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Fractional Mixed Weighted Convolution and Its Application in Convolution Integral Equations J. Math. (IF 1.4) Pub Date : 2024-3-4 Rongbo Wang, Qiang Feng
The convolution integral equations are very important in optics and signal processing domain. In this paper, fractional mixed-weighted convolution is defined based on the fractional cosine transform; the corresponding convolution theorem is achieved. The properties of fractional mixed-weighted convolution and Young’s type theorem are also explored. Based on the fractional mixed-weighted convolution
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Numerical Solution of Burgers–Huxley Equation Using a Higher Order Collocation Method J. Math. (IF 1.4) Pub Date : 2024-2-29 Aditi Singh, Sumita Dahiya, Homan Emadifar, Masoumeh Khademi
In this paper, the collocation method with cubic B-spline as basis function has been successfully applied to numerically solve the Burgers–Huxley equation. This equation illustrates a model for describing the interaction between reaction mechanisms, convection effects, and diffusion transport. Quasi-linearization has been employed to deal with the nonlinearity of equations. The Crank–Nicolson implicit
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An RBF-LOD Method for Solving Stochastic Diffusion Equations J. Math. (IF 1.4) Pub Date : 2024-2-28 Samaneh Mokhtari, Ali Mesforush, Reza Mokhtari, Rahman Akbari
In this study, we introduce an innovative approach to solving stochastic equations in two and three dimensions, leveraging a time-splitting strategy. Our method combines radial basis function (RBF) spatial discretization with the Crank–Nicolson scheme and the local one-dimensional (LOD) method for temporal approximation. To navigate the probabilistic space inherent in these equations, we employ the
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A Novel Opportunity Losses-Based Polar Coordinate Distance (OPLO-POCOD) Approach to Multiple Criteria Decision-Making J. Math. (IF 1.4) Pub Date : 2024-2-27 Reza Sheikh, Soheila Senfi
The ability to make decisions is crucial for achieving success in any field, particularly in areas that involve managing extensive information and knowledge. The process of decision-making in real-world scenarios often involves considering numerous factors and aspects. It can be challenging to make decisions in such complex environments. In this paper, we present a new technique that solves multicriteria
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New Solutions of Time- and Space-Fractional Black–Scholes European Option Pricing Model via Fractional Extension of He-Aboodh Algorithm J. Math. (IF 1.4) Pub Date : 2024-2-24 Mubashir Qayyum, Efaza Ahmad
The current study explores the space and time-fractional Black–Scholes European option pricing model that primarily occurs in the financial market. To tackle the complexities associated with solving models in a fractional environment, the Aboodh transform is hybridized with He’s algorithm. This facilitates in improving the efficiency and applicability of the classical homotopy perturbation method (HPM)
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Radiative Mixed Convection Flow of Casson Nanofluid through Exponentially Permeable Stretching Sheet with Internal Heat Generation J. Math. (IF 1.4) Pub Date : 2024-2-24 Mazhar Hussain, Shereen Fatima, Mubashir Qayyum
This paper investigates the mixed convection boundary-layer flow of Casson nanofluid with an internal heat source on an exponentially stretched sheet. The Buongiorno model, incorporating thermophoresis and Brownian motion, describes fluid temperature. The modeled system is solved numerically using bvp4c routine to analyze the impact of different fluid parameters on velocity, temperature, and concentration
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A Competitive Bilevel Programming Model for Green, CLSCs in Light of Government Incentives J. Math. (IF 1.4) Pub Date : 2024-2-23 Arsalan Rahmani, Meysam Hosseini, Amir Sahami
The growth of world population has fueled environmental, legal, and social concerns, making governments and companies attempt to mitigate the environmental and social implications stemming from supply chain operations. The state-run Environmental Protection Agency has initially offered financial incentives (subsidies) meant to encourage supply chain managers to use cleaner technologies in order to
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Characterization of a Cournot–Nash Equilibrium for a Fishery Model with Fuzzy Utilities J. Math. (IF 1.4) Pub Date : 2024-2-20 R. Israel Ortega-Gutiérrez, Raúl Montes-de-Oca, Hugo Cruz-Suárez
The article deals with the extensions of discrete-time games with infinite time horizon and their application in a fuzzy context to fishery models. The criteria for these games are the total discounted utility and the average utility in a fishing problem. However, in the fuzzy case, game theory is not the best way to represent a real fishing problem because players do not always have enough information
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Some Inequalities between General Randić-Type Graph Invariants J. Math. (IF 1.4) Pub Date : 2024-2-20 Imran Nadeem, Saba Siddique, Yilun Shang
The Randić-type graph invariants are extensively investigated vertex-degree-based topological indices and have gained much prominence in recent years. The general Randić and zeroth-order general Randić indices are Randić-type graph invariants and are defined for a graph with vertex set as and , respectively, where is an arbitrary real number, denotes the degree of a vertex , and represents the adjacency
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Partition Resolvability of Nanosheet and Nanotube Derived from Octagonal Grid J. Math. (IF 1.4) Pub Date : 2024-2-19 Ali Al Khabyah, Ali N. A. Koam, Ali Ahmad
Chemical graph theory, a branch of computational and applied mathematics, covers a very wide range of topics. As a result, the world of applied sciences heavily relies on graph theory. The concept of partition dimension has significant importance in the field of chemical graph theory. Although certain graphs have bounded partition dimensions, a graph’s partition dimension may be constant. In this study
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A Modified Form of Inertial Viscosity Projection Methods for Variational Inequality and Fixed Point Problems J. Math. (IF 1.4) Pub Date : 2024-2-19 Watanjeet Singh, Sumit Chandok
This paper aims to introduce an iterative algorithm based on an inertial technique that uses the minimum number of projections onto a nonempty, closed, and convex set. We show that the algorithm generates a sequence that converges strongly to the common solution of a variational inequality involving inverse strongly monotone mapping and fixed point problems for a countable family of nonexpansive mappings
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Algorithmic Complexity and Bounds for Domination Subdivision Numbers of Graphs J. Math. (IF 1.4) Pub Date : 2024-2-15 Fu-Tao Hu, Chang-Xu Zhang, Shu-Cheng Yang
Let be a simple graph. A subset is a dominating set if every vertex not in is adjacent to a vertex in . The domination number of , denoted by , is the smallest cardinality of a dominating set of . The domination subdivision number of is the minimum number of edges that must be subdivided (each edge can be subdivided at most once) in order to increase the domination number. In 2000, Haynes et al. showed
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Stabilization of a Rao–Nakra Sandwich Beam System by Coleman–Gurtin’s Thermal Law and Nonlinear Damping of Variable-Exponent Type J. Math. (IF 1.4) Pub Date : 2024-2-13 Mohammed M. Al-Gharabli, Shadi Al-Omari, Adel M. Al-Mahdi
In this paper, we explore the asymptotic behavior of solutions in a thermoplastic Rao–Nakra (sandwich beam) beam equation featuring nonlinear damping with a variable exponent. The heat conduction in this context adheres to Coleman–Gurtin’s thermal law, encompassing linear damping, Fourier, and Gurtin–Pipkin’s laws as specific instances. By employing the multiplier approach, we establish general energy
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Higher Derivations Satisfying Certain Identities in Rings J. Math. (IF 1.4) Pub Date : 2024-2-8 Amal S. Alali, Shakir Ali, Naira N. Rafiquee, Vaishali Varshney
Let and be fixed positive integers. In this paper, we establish some structural properties of prime rings equipped with higher derivations. Motivated by the works of Herstein and Bell-Daif, we characterize rings with higher derivations satisfying (i) for all and (ii) for all .
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Existence, Blow-Up, and Blow-Up Rate of Weak Solution to Fourth-Order Non-Newtonian Polytropic Variation-Inequality Arising from Consumption-Investment Models J. Math. (IF 1.4) Pub Date : 2024-2-6 Jia Li, Xuelian Bai
This article obtains the conditions for the existence and nonexistence of weak solutions for a variation-inequality problem. This variational inequality is constructed by a fourth-order non-Newtonian polytropic operator which is receiving much attention recently. Under the proper condition of the parameter, the existence of a solution is proved by constructing the initial boundary value problem of
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Solving Large-Scale Unconstrained Optimization Problems with an Efficient Conjugate Gradient Class J. Math. (IF 1.4) Pub Date : 2024-2-5 Sanaz Bojari, Mahmoud Paripour
The main goal of this paper is to introduce an appropriate conjugate gradient class to solve unconstrained optimization problems. The presented class enjoys the benefits of having three free parameters, its directions are descent, and it can fulfill the Dai–Liao conjugacy condition. Global convergence property of the new class is proved under the weak-Wolfe–Powell line search technique. Numerical efficiency
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Congruences Involving Special Sums of Triple Reciprocals J. Math. (IF 1.4) Pub Date : 2024-2-2 Zhongyan Shen
Define the sums of triple reciprocals . Zhao discovered the following curious congruence for any odd prime , Xia and Cai extended the above congruence to modulo where is a prime. In this paper, we consider the congruences about (where is the integral part of , ) modulo . When , the results we obtain are the results of Zhao and Xia and Cai.
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Stability Analysis of SIRS Model considering Pulse Vaccination and Elimination Disturbance J. Math. (IF 1.4) Pub Date : 2024-2-1 Yanli Ma, Xuewu Zuo
It is well known that many natural phenomena and human activities do exhibit impulsive effects in the fields of epidemiology. At the same time, compared with a single control strategy, it is obvious that the multiple control strategies are more beneficial to restrain the spread of infectious diseases. In this paper, we consider pulse vaccination and pulse elimination strategies at the same time and
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The Best Fit Bayesian Hierarchical Generalized Linear Model Selection Using Information Complexity Criteria in the MCMC Approach J. Math. (IF 1.4) Pub Date : 2024-2-1 Endris Assen Ebrahim, Mehmet Ali Cengiz, Erol Terzi
Both frequentist and Bayesian statistics schools have improved statistical tools and model choices for the collected data or measurements. Model selection approaches have advanced due to the difficulty of comparing complicated hierarchical models in which linear predictors vary by grouping variables, and the number of model parameters is not distinct. Many regression model selection criteria are considered
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A High Accuracy Numerical Method Based on Interpolation Technique for Time-Fractional Advection-Diffusion Equations J. Math. (IF 1.4) Pub Date : 2024-1-29 Yan Chen, Xindong Zhang
In this paper, the time-fractional advection-diffusion equation (TFADE) is solved by the barycentric Lagrange interpolation collocation method (BLICM). In order to approximate the fractional derivative under the definition of Caputo, BLICM is used to approximate the unknown function. We obtain the discrete scheme of the equation by combining BLICM with the Gauss-Legendre quadrature rule. The convergence
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Horadam Spinors J. Math. (IF 1.4) Pub Date : 2024-1-29 Tülay Erişir
Spinors can be expressed as Lie algebra of infinitesimal rotations. Spinors are also defined as elements of a vector space which carries a linear representation of the Clifford algebra typically. The motivation for this study is to define a new and particular sequence. An essential feature of this sequence is that while a generalization is being made, spinors, which have a lot of use in physics, are
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Mathematical Concepts and Empirical Study of Neighborhood Irregular Topological Indices of Nanostructures TUC4C8 and GTUC J. Math. (IF 1.4) Pub Date : 2024-1-29 Shahid Zaman, Asad Ullah, Rabia Naseer, Kavi Bahri Rasool
A topological index is a structural descriptor of any molecule/nanostructure that characterizes its topology. In the QSAR and QSPR research, topological indices are employed to predict the physical characteristics associated with bioactivities and chemical reactivity within specific networks. 2D nanostructured materials have many exhibit numerous chemical, mechanical, and physical features. These nanomaterials
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Characterization of Fractional Mixed Domination Number of Paths and Cycles J. Math. (IF 1.4) Pub Date : 2024-1-27 P. Shanthi, S. Amutha, N. Anbazhagan, G. Uma, Gyanendra Prasad Joshi, Woong Cho
Let G′ be a simple, connected, and undirected (UD) graph with the vertex set M(G′) and an edge set N(G′). In this article, we define a function as a fractional mixed dominating function (FMXDF) if it satisfies for all , where indicates the closed mixed neighbourhood of , that is the set of all such that is adjacent to and is incident with and also itself. Here, is the poundage (or weight) of f. The
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Reducing Bias in Beta Regression Models Using Jackknifed Liu-Type Estimators: Applications to Chemical Data J. Math. (IF 1.4) Pub Date : 2024-1-27 Solmaz Seifollahi, Hossein Bevrani, Olayan Albalawi
In the field of chemical data modeling, it is common to encounter response variables that are constrained to the interval (0, 1). In such cases, the beta regression model is often a more suitable choice for modeling. However, like any regression model, collinearity can present a significant challenge. To address this issue, the Liu-type estimator has been used as an alternative to the maximum likelihood
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MDS and MHDR Cyclic Codes over Finite Chain Rings J. Math. (IF 1.4) Pub Date : 2024-1-25 Monika Dalal, Sucheta Dutt, Ranjeet Sehmi
This work establishes a unique set of generators for a cyclic code over a finite chain ring. Towards this, we first determine the minimal spanning set and rank of the code. Furthermore, sufficient as well as necessary conditions for a cyclic code to be an MDS code and for a cyclic code to be an MHDR code are obtained. Finally, to support our results, some examples of optimal cyclic codes are presented
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Numerical and Scientific Investigation of Some Molecular Structures Based on the Criterion of Super Classical Average Assignments J. Math. (IF 1.4) Pub Date : 2024-1-24 A. Rajesh Kannan, Nazek Alessa, K. Loganathan, Balachandra Pattanaik
Numbering a graph is a very practical and effective technique in science and engineering. Numerous graph assignment techniques, including distance-based labeling, topological indices, and spectral graph theory, can be used to investigate molecule structures. Consider the graph , with the injection from the node set to , where is the sum of the number of nodes and links. Assume that the induced link
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Geometric Characterization of the Numerical Range of Parallel Sum of Two Orthogonal Projections J. Math. (IF 1.4) Pub Date : 2024-1-24 Weiyan Yu, Ran Wang, Chen Zhang
Let be a complex separable Hilbert space and be the algebra of all bounded linear operators from to . Our goal in this article is to describe the closure of numerical range of parallel sum operator for two orthogonal projections and in as a closed convex hull of some explicit ellipses parameterized by points in the spectrum.
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A Solution Approach to Nonlinear Integral Equations in Generalized b-Metric Spaces J. Math. (IF 1.4) Pub Date : 2024-1-23 Mohammed M. M. Jaradat, Abeeda Ahmad, Saif Ur Rehman, Nabaa Muhammad Diaa, Shamoona Jabeen, Muhammad Imran Haider, Iqra Shamas, Rawan A. Shlaka
In this paper, we study some generalized contraction conditions for three self-mappings on generalized b-metric spaces to prove the existence of some unique common fixed-point results. To unify our results, we establish a supportive example for three self-mappings to show the uniqueness of a common fixed point for a generalized contraction in the said space. In addition, we present a supportive application
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Singular Value and Matrix Norm Inequalities between Positive Semidefinite Matrices and Their Blocks J. Math. (IF 1.4) Pub Date : 2024-1-23 Feng Zhang, Rong Ma, Chunwen Zhang, Yuxin Cao
In this paper, we obtain some inequalities involving positive semidefinite block matrices and their blocks.
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Exact Null Controllability of String Equations with Neumann Boundaries J. Math. (IF 1.4) Pub Date : 2024-1-22 Lizhi Cui, Jing Lu
This article focuses on the exact null controllability of a one-dimensional wave equation in noncylindrical domains. Both the fixed endpoint and the moving endpoint are Neumann-type boundary conditions. The control is put on the moving endpoint. When the speed of the moving endpoint is less than the characteristic speed, we can obtain the exact null controllability of this equation by using the Hilbert
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Performance Analysis of Two Different Types of Waiting Queues with Working Vacations J. Math. (IF 1.4) Pub Date : 2024-1-22 M. Sundararaman, D. Narasimhan, P. Rajadurai
This work examines a new class of working vacation queueing models that contain regular (original) and retrial waiting queues. Upon arrival, a customer either starts their service instantly if the server is available, or they join the regular queue if the server is occupied. When it is empty, the server departs the system to take a working vacation (WV). The server provides services more slowly during
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Structure and Rank of a Cyclic Code over a Class of Nonchain Rings J. Math. (IF 1.4) Pub Date : 2024-1-18 Nikita Jain, Sucheta Dutt, Ranjeet Sehmi
The rings have been classified into chain rings and nonchain rings based on the values of . In this paper, the structure of a cyclic code of arbitrary length over the rings for those values of for which these are nonchain rings has been established. A unique form of generators for a cyclic code over these rings has also been obtained. Furthermore, the rank and cardinality of a cyclic code over these
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The Y-Index of Some Complement Graph Structures and Their Applications of Nanotubes and Nanotorus J. Math. (IF 1.4) Pub Date : 2024-1-17 Mohammed Alsharafi, Abdu Alameri, Yusuf Zeren, Mahioub Shubatah, Anwar Alwardi
Topological descriptors play a significant role in chemical nanostructures. These topological measures have explicit chemical uses in chemistry, medicine, biology, and computer sciences. This study calculates the Y-index of some graphs and complements graph operations such as join, tensor and Cartesian and strong products, composition, disjunction, and symmetric difference between two simple graphs
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New Developments of Hermite–Hadamard Type Inequalities via s-Convexity and Fractional Integrals J. Math. (IF 1.4) Pub Date : 2024-1-16 Khuram Ali Khan, Saeeda Fatima, Ammara Nosheen, Rostin Matendo Mabela
In this paper, we present an identity for differentiable functions that has played an important role in proving Hermite–Hadamard type inequalities for functions whose absolute values of first derivatives are -convex functions. Meanwhile, some Hermite–Hadamard type inequalities for the functions whose absolute values of second derivatives are -convex are also established with the help of an existing
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Exploring the Steady Flow of a Viscoelastic Fluid Passing over a Porous Perpendicular Plate Subjected to Heat Generation and Chemical Reactions J. Math. (IF 1.4) Pub Date : 2024-1-13 K. Sudarmozhi, D. Iranian, M. M. Alqarni, Muhammad Sabeel Khan, Emad E. Mahmoud, R. Pradhan, M. M. Haque
This study aims to bridge the gap by conducting a numerical analysis of Maxwell fluid behaviour on a perpendicular plate within a porous medium, considering both chemical reaction and heat generation. The investigation also encompasses the study of energy and mass transfer within magnetohydrodynamic (MHD) Maxwell fluids. We utilise a transformation technique employing similarity variables to address