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Global existence theorem of a generalized solution for a one‐dimensional thermal explosion model of a compressible micropolar real gas Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Angela Bašić‐Šiško, Ivan Dražić
We consider 1‐D thermal explosion of a compressible micropolar real gas, assuming that the initial density and temperature are bounded from below with a positive constant and that the initial data are sufficiently smooth. The starting problem is transformed into the Lagrangian description on the spatial domain and contains homogeneous boundary conditions. In this work, we prove that our problem has
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Stević–Sharma‐type operators between Bergman spaces induced by doubling weights Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Juntao Du, Songxiao Li, Zuoling Liu
Using Khinchin's inequality, Geršgorin's theorem, and the atomic decomposition of Bergman spaces, we estimate the norm and essential norm of Stević–Sharma‐type operators between weighted Bergman spaces and and the sum of weighted differentiation composition operators with different symbols from the weighted Bergman spaces to . The estimates of those between Bergman spaces remove all the restrictions
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Modelling the dynamics of hand, foot, and mouth disease transmission through fomites and immigration Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Ling Xue, Yuqing Ren, Wei Sun, Ting Wang
Hand, foot, and mouth disease (HFMD) is widely spread in China Mainland, seriously threatening the health of infants and young children. We develop a meta‐population model that includes both local and ecdemic populations to study the impacts of fomites and immigration on the transmission of HFMD in Shanghai. The model includes both direct transmission between susceptible and infected individuals (asymptomatic
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Global well‐posedness of strong solutions to the compressible magnetohydrodynamic equations with Coulomb force and non‐flat doping profile Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Mingyu Zhang
This paper establishes the global well‐posedness of strong solutions for the 3D compressible magnetohydrodynamics (MHD) with non‐flat doping profile and Coulomb force, which is of hyperbolic–parabolic–elliptic mixed type. It is essentially shown that for the initial value problem with initial density allowed to contain vacuum states, the strong solution exists globally under small energy but possible
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Inertial hybrid algorithm for generalized mixed equilibrium problems, zero problems, and fixed points of some nonlinear mappings in the intermediate sense Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Abdulwahab Ahmad, Poom Kumam, Murtala Haruna Harbau, Kanokwan Sitthithakerngkiet
In this work, we establish the closedness and convexity of the set of fixed points of equally continuous and asymptotically demicontractive mapping in the intermediate sense. We proposed an inertial hybrid projection technique for determining an approximate common solution to three significant problems. The first is the system of generalized mixed equilibrium problems with relaxed monotone mappings
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Twist periodic solutions of the electron beam focusing system with unshielded cathode Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Zaitao Liang, Ziqing Zhou, Shengjun Li
In this article, we consider the electron beam focusing system guided by an axially symmetric periodic magnetic field with unshielded cathode. Based on the third‐order approximation method and some quantitative methods, we establish two different sufficient conditions for the existence of twist periodic solutions of the system. Such twist periodic solutions are stable in the sense of Lyapunov. Some
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On the jerk and snap in motion along non‐lightlike curves in Minkowski 3‐space Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Ayman Elsharkawy, Clemente Cesarano, Hadil Alhazmi
In this paper, we study the jerk vector that is the rate of change of the acceleration vector over time. In three‐dimensional space, the decomposition of the jerk vector is a new concept in the field. This decomposition expresses the jerk vector as the sum of three unique components in specific directions: the tangential direction, the radial direction in the osculating plane, and the radial direction
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Applying Lin's method to constructing heteroclinic orbits near the heteroclinic chain Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Bin Long, Yiying Yang
In this paper, we apply Lin's method to study the existence of heteroclinic orbits near the degenerate heteroclinic chain under ‐dimensional periodic perturbations. The heteroclinic chain consists of two degenerate heteroclinic orbits and connected by three hyperbolic saddle points . Assume that the degeneracy of the unperturbed heteroclinic orbit is , the splitting index is . By applying Lin's method
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General energy decay estimates for a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Jianghao Hao, Tong Zhang
In this paper, we consider a variable coefficient viscoelastic semilinear wave equation with logarithmic source term and acoustic boundary conditions in domains with non‐locally reacting boundary. By potential well method, we get the global existence of solution and through several important lemmas, we prove the general energy decay estimate of the system.
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Global weak solutions to a fully parabolic two‐species chemotaxis system with fast p$$ p $$‐Laplacian diffusion Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-17 Poonam Rani, Jagmohan Tyagi
We consider fully parabolic two‐species chemotaxis system with ‐Laplacian diffusion in a smooth bounded domain with We show the existence of globally bounded weak solutions under the assumption that ‐norm of is bounded by a universal constant. We first get time‐independent bounds for solution components of the approximate system. Then, pass the limit using Aubin–Lions lemma to get the solution candidate
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Editorial on the special issue “Current topics in applied hypercomplex analysis” Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-16 Dmitrii Legatiuk, Sebastian Bock, Uwe Kaehler
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Integrating factor‐based time integrators for the Cahn–Hilliard equation Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-16 Gobinda Garai, Bankim C. Mandal
In this paper, we propose integrating factor (IF)‐based methods for solving the Cahn–Hilliard (CH) equation, which was originally proposed to describe the phase separation phenomenon for binary melted alloy below the critical temperature, and since then, it has appeared in many fields. Being a nonlinear equation, it is of great importance to develop efficient numerical methods for investigating the
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Blowing‐up solutions for the Moorea–Gibson–Thompson equation with a viscoelastic memory and an external force Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-16 Mokhtar Kirane, Ala Eddine Draifia, Lotfi Jlali
The Moore–Gibson–Thompson equation with a viscoelastic memory and a forcing term is considered. The existence and uniqueness of a local solution are obtained via Faedo–Galerkin's method. Furthermore, it is shown that solutions with or without a positive initial energy experience blowing‐up due to the nonlinear forcing term.
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Stability analysis and numerical simulations of the infection spread of epidemics as a reaction–diffusion model Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-16 S. Hariharan, L. Shangerganesh, J. Manimaran, A. S. Hendy, Mahmoud A. Zaky
This paper presents a spatiotemporal reaction–diffusion model for epidemics to predict how the infection spreads in a given space. The model is based on a system of partial differential equations with the Neumann boundary conditions. First, we study the existence and uniqueness of the solution of the model using the semigroup theory and demonstrate the boundedness of solutions. Further, the proposed
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Global strong solutions to the anisotropic three‐dimensional incompressible magnetohydrodynamic system Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-16 Bin Han, Na Zhao
In this article, we consider the Cauchy problem of the three‐dimensional incompressible magnetohydrodynamic (MHD) system with only horizontal dissipation and vertical magnetic diffusion near the equilibrium. We establish the global a priori estimate of the smooth solution for this system, with initial data sufficiently small in , by using the special structure of the nonlinear terms and the anisotropic
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Global existence of solutions for a free‐boundary tumor model with angiogenesis and a necrotic core Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-16 Huijuan Song, Zejia Wang, Wentao Hu
In this paper, we study a free‐boundary problem modeling the growth of spherically symmetric tumors with angiogenesis and a necrotic core, where the Robin boundary condition is imposed for the nutrient concentration. The existence of a global solution is established by first reducing the free‐boundary problem into an equivalent initial boundary value problem for a nonlinear strongly singular parabolic
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Simulating variable‐order fractional Brownian motion and solving nonlinear stochastic differential equations Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-16 Nasrin Samadyar, Yadollah Ordokhani
Stochastic differential equations (SDEs) are very useful in modeling many problems in biology, economic data, turbulence, and medicine. Fractional Brownian motion (fBm) and variable‐order fractional Brownian motion (vofBm) are suitable alternatives to standard Brownian motion (sBm) for describing and modeling many phenomena, since the increments of these processes are dependent of the past and for
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On the Korteweg‐de Vries approximation for a Boussinesq equation posed on the infinite necklace graph Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-13 Wolf‐Patrick Düll, Guido Schneider, Raphael Taraca
Motivated by the question how to describe long‐wave dynamics on periodic networks, we consider a Boussinesq equation posed on the infinite periodic necklace graph. For the description of long‐wave traveling waves, we derive the KdV equation and establish the validity of this formal approximation by providing estimates for the error. The proof is based on suitable energy estimates. As a consequence
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The modified fractional‐order quasi‐reversibility method for a class of direct and inverse problems governed by time‐fractional heat equations with involution perturbation Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-13 Fares Benabbes, Nadjib Boussetila, Abdelghani Lakhdari
This study aims to explore two classes of ill‐posed problems governed by a nonclassical fractional heat equation with an involution perturbation. To achieve a stable solution, we introduce a modified pseudo‐parabolic regularization method that involves a correction term through a mixed fractional derivation operator, resulting in a sequence of well‐posed problems that depend on a regularization parameter
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A new block method with variable stepsize implementation for solving third‐order differential systems Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-13 Mufutau Ajani Rufai, Bruno Carpentieri, Higinio Ramos
This article presents an efficient one‐step hybrid block method (OHBM) to solve third‐order initial value problems (IVPs). The proposed method is derived using interpolation and collocation techniques of the assumed exact solution and its derivatives. The theoretical properties of the OHBM are analyzed. An embedding‐like technique is utilized and executed in an adaptive mode to improve the performance
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Global properties of SARS‐CoV‐2 and IAV coinfection model with distributed‐time delays and humoral immunity Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-13 Ahmed M. Elaiw, Raghad S. Alsulami, Aatef D. Hobiny
Severe acute respiratory syndrome coronavirus 2 (SARS‐CoV‐2) and influenza A virus (IAV) are two respiratory viruses and are similar concerning seasonal occurrence, transmission routes, clinical manifestations, and related immune responses. Recent studies showed that a substantial number of patients infected by SARS‐CoV‐2 were also coinfected with IAV. In this paper, we study the global properties
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An efficient iterative method for matrix sign function with application in stability analysis of control systems using spectrum splitting Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-12 Pallvi Sharma, Munish Kansal
The goal of this study is to construct a novel iterative method to compute the matrix sign function using a different approach. It is discussed that the new method is globally convergent and asymptotically stable. It achieves the sixth order of convergence and only requires five matrix–matrix multiplications. The obtained results are extended to compute the number of eigenvalues of a matrix in a specified
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Impedance operator of a curved thin layer in linear elasticity with voids Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-12 Athmane Abdallaoui, Amirouche Berkani, Abdelkarim Kelleche
We consider a two‐dimensional transmission problem of linear elasticity with voids in a fixed domain coated by a curved thin layer . Our aim is to model the effect of the thin layer on the fixed domain by an impedance boundary condition. For that, we use the techniques of asymptotic expansion to approximate the transmission problem by an impedance problem set in the fixed domain , and we prove an error
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Unraveling the influence of health protocol implementation for different clusters on COVID‐19 transmission in West Java, Indonesia Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-12 Nursanti Anggriani, Emli Rahmi, Hasan S. Panigoro, Fatuh Inayaturohmat, Dhika Surya Pangestu, Sanubari Tansah Tresna
This article formulates and analyzes the COVID‐19 transmission model on West Java by considering the health protocol implementation level on three different clusters. The transmission possibilities are classified into three clusters based on the society's daily activities, including (1) retailing, (2) transit, and (3) recreation. The model was constructed by dividing the population into seven compartments
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Qualitative properties of solutions for dual parabolic equation involving uniformly elliptic nonlocal operator Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-11 Wei Zhang, Yong He, Ze Rong Yang
In this research, we study certain characteristics of the solution for an equation involving uniformly elliptic nonlocal operator by establishing various maximum principles in bounded and unbounded regions. Additionally, we don't need the conditions that the narrow region principle's bound assumption and decay in the unbounded domain. In order to get the monotonicity of the solution, we use several
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A novel Noor iterative method of operators with property (E)$$ (E) $$ as concerns convex programming applicable in signal recovery and polynomiography Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-10 Papinwich Paimsang, Damrongsak Yambangwai, Tanakit Thianwan
This work proposes a novel Noor iterative scheme, called CT‐iteration, to approximate the fixed points in the new context of generalized nonexpansive mappings with property . We establish the strong and weak convergence results in a uniformly convex Banach space. Additionally, numerical examples of the iterative technique are demonstrated using a signal recovery application in a compressed sensing
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Spreading speeds in an asymptotic autonomous system with application to an epidemic model Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-10 Yuan He, Guo Lin, Shuo Zhang
This article studies the initial value problem in an asymptotic autonomous reaction–diffusion system. Namely, when the time goes to infinity, these parameters converge to constants. The system may be nonmonotonic. With different decaying initial conditions, the leftward and rightward spreading speeds are estimated by constructing auxiliary functions and systems. As an application, we present the propagation
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Numerical insights of fractal–fractional modeling of magnetohydrodynamic Casson hybrid nanofluid with heat transfer enhancement Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-10 Zubair Ahmad, Serena Crisci, Saqib Murtaza, Gerardo Toraldo
Fractional calculus expands the idea of differentiation to fractional/non‐integer orders of the derivatives. It includes the memory‐dependent and non‐local system's behaviors while fractal–fractional derivatives is the generalization of fractional‐order derivatives which refers to a combination of fractional calculus and fractal geometry. In this article, we have considered the magnetohydrodynamic
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Data‐driven models for traffic flow at junctions Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Michael Herty, Niklas Kolbe
The simulation of traffic flow on networks requires knowledge on the behavior across traffic intersections. For macroscopic models based on hyperbolic conservation laws, there exist nowadays many ad‐hoc models describing this behavior. Based on real‐world car trajectory data we propose a new class of data‐driven models with the requirements of being consistent to networked hyperbolic traffic flow models
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Local solvability and stability for the inverse Sturm‐Liouville problem with polynomials in the boundary conditions Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Egor E. Chitorkin, Natalia P. Bondarenko
In this paper, we for the first time prove local solvability and stability of the inverse Sturm‐Liouville problem with complex‐valued singular potential and with polynomials of the spectral parameter in the boundary conditions. The proof method is constructive. It is based on the reduction of the inverse problem to a linear equation in the Banach space of bounded infinite sequences. We prove that,
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Identification of the order in fractional discrete systems Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Rodrigo Ponce
In this paper, we consider the problem of finding the order in the fractional discrete system: where is a closed linear operator defined in a Banach space , and is the discrete Caputo fractional derivative of a given vector‐valued sequence .
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Invariant analysis, approximate solutions, and conservation laws for the time fractional higher order Boussinesq–Burgers system Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Mohamed Rahioui, El Hassan El Kinani, Abdelaziz Ouhadan
In this paper, we employ the time fractional higher order nonlinear Boussinesq–Burgers system to investigate shallow water waves based on the Riemann–Liouville and Caputo fractional partial derivatives. The Lie algebra of infinitesimal generators associated with the symmetry groups that leave the studied system invariant is systematically constructed, and the similarity reductions are established.
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Symmetry algebra classification of scalar n$$ n $$th‐order ordinary differential equations Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Said Waqas Shah, F. M. Mahomed, H. Azad
We obtain a complete classification of scalar th‐order ordinary differential equations for all subalgebras of vector fields in the real plane. While softwares like Maple can compute invariants of a given order, our results are for a general . The cases are well‐known in the literature. Further, it is known that there are three types of th‐order equations depending upon the point symmetry algebra they
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Dynamical analysis and optimal control of an age‐structured epidemic model with asymptomatic infection and multiple transmission pathways Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Yuenan Kang, Linfei Nie
The diversity of transmission modes and the heterogeneity of populations in the transmission of infectious diseases are issues that have to be faced in the current disease protection. In this paper, an infectious disease model incorporating age structure and horizontal and environmental spread, along with asymptomatic infection, is proposed to describe diversification of disease transmission routes
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The Cauchy problem of dissipative hyperbolic mean curvature flow Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Shuangshuang Xia, Zenggui Wang
In this paper, the motion of strictly convex closed plane curves under dissipative hyperbolic mean curvature flow is studied. The hyperbolic Monge–Amp re equation is derived by using the support function. The short‐time existence of the flow is proved, and some evolution equations are derived. Furthermore, according to different initial velocities, we discuss the expansion and contraction of the dissipative
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Separation method of semifixed variables together with integral bifurcation method for solving generalized time‐fractional thin‐film equations Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Weiguo Rui, Weijun He
It is well known that investigation on exact solutions of nonlinear fractional partial differential equations (PDEs) is a very difficult work compared with integer‐order nonlinear PDEs. In this paper, based on the separation method of semifixed variables and integral bifurcation method, a combinational method is proposed. By using this new method, a class of generalized time‐fractional thin‐film equations
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Existence and asymptotic stability of mild solution to fractional Keller‐Segel‐Navier‐Stokes system Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Ziwen Jiang, Lizhen Wang
This paper investigates the Cauchy problem for time‐space fractional Keller‐Segel‐Navier‐Stokes model in , which can describe the memory effect and anomalous diffusion of the considered system. The local and global existence and uniqueness in weak space are obtained by means of abstract fixed point theorem. Moreover, we explore the asymptotic stability of solutions as time goes to infinity.
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Linear canonical Stockwell transform and the associated multiresolution analysis Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-09 Bivek Gupta, Amit K. Verma
In this article, we propose a new class of transform called linear canonical Stockwell transform (LCST) and obtain its basic properties along with the inner product relation and reconstruction formula. We characterize the range of the transform and show that its range is the reproducing kernel Hilbert space. We also develop a multiresolution analysis (MRA) associated with the proposed transform together
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Multiplicative generalized tube surfaces with multiplicative quaternions algebra Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-03 Hazal Ceyhan, Zehra Özdemir, Ismail Gök
Along with other types of calculus, multiplicative calculus brings an entirely new perspective. Geometry now has a new field as a result of this new understanding. In this study, multiplicative differential geometry was used to explore peculiar surfaces. Multiplicative quaternions are also used to depict surfaces. Additionally, multiplicative differential geometry was used to generate the accretive
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Issue Information Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-08
No abstract is available for this article.
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New moment formulas for moments and characteristic function of the geometric distribution in terms of Apostol–Bernoulli polynomials and numbers Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-06 Buket Simsek
Although it is very easy to calculate the 1st moment and 2nd moment values of the geometric distribution with the methods available in existing books and other articles, it is quite difficult to calculate moment values larger than the 3rd order. Because in order to find these moment values, many higher order derivatives of the geometric series and convergence properties of the series are needed. The
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∂¯‐problem for a second‐order elliptic system in Clifford analysis Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-06 Daniel Alfonso Santiesteban
In the framework of Clifford analysis, we study a second‐order elliptic (generally nonstrongly elliptic) system of partial differential equations of the form: , where stands for the Dirac operator with respect to a structural set . The solutions of this system are known as ‐inframonogenic functions. Our main purpose is to describe necessary and sufficient conditions for the solvability of a ‐problem
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Traveling waves of a generalized sixth‐order Boussinesq equation Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-05 Amin Esfahani, Steven Levandosky
We investigate the existence and stability of traveling waves for the sixth‐order Boussinesq equation, considering a broad class of nonlinearities adhering to power‐like scaling relations. Employing the Nehari manifold method, we establish the existence of traveling waves and derive variational criteria for assessing their stability or instability. Subsequently, we develop a numerical approach based
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On the refinements of some important inequalities with a finite set of positive numbers Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-05 Bouharket Benaissa, Mehmet Zeki Sarikaya
In this research, a novel method for enhancing the Hölder–Işcan inequality through the utilization of both integrals and sums, as well as the mean power inequality, has been introduced. This approach outperforms traditional Hölder and mean power integral inequalities by employing a finite set of functions. Through the careful selection of the function , an entirely new category of classical inequalities
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Retention profiles of multiparticle filtration in porous media Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-05 Liudmila I. Kuzmina, Yuri V. Osipov, Maxim D. Astakhov
A one‐dimensional deep bed filtration model of a polydisperse suspension or colloid in a porous medium is considered. The model includes a quasilinear system of 2n equations for concentrations of suspended and retained particles of n types. The problem is reduced to a closed 3 × 3 system for total concentrations of suspended and retained particles and of occupied rock surface area, which allows an
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Analysis of coupled system of q$$ q $$‐fractional Langevin differential equations with q$$ q $$‐fractional integral conditions Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-05 Keyu Zhang, Khansa Hina Khalid, Akbar Zada, Ioan‐Lucian Popa, Jiafa Xu, Afef Kallekh
In this dissertation, we study the coupled system of ‐fractional Langevin differential equations involving ‐Caputo derivative having ‐fractional integral conditions. With the help of some adequate conditions, we investigate the uniqueness and existence of mild solution of the aforementioned system. We also analyze various kinds of Ulam's stability. Banach fixed point theorem and Leray–Schauder of cone
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Partial component consensus in mean‐square for delayed nonlinear multi‐agent systems with uncertain nonhomogeneous Markov switching topologies and aperiodic denial‐of‐service cyber‐attacks Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-04 Xia Zhou, Wanbing Liu, Fengbing Li, Jinde Cao, Meixuan Xi
The partial component consensus in mean‐square for delayed nonlinear multi‐agent systems (NMASs) with uncertain nonhomogeneous Markov switching (UNMS) topologies subjected to aperiodic denial‐of‐service (DoS) cyber‐attacks is investigated. Firstly, the partial component ( ‐dimensional) consensus of the system ( ‐dimensional, ) is considered in this paper. When , the partial component consensus degrades
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Existence of normalized solutions for fractional Kirchhoff–Schrödinger–Poisson equations with general nonlinearities Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-04 Li Wang, Liqin Tang, Jun Wang, Jixiu Wang
This paper considers the following fractional Kirchhoff–Schrödinger–Poisson equation: where . For the case of with , the nonlinear term satisfies more general conditions, we obtain the existence of normalized solutions for the above system by using Pohozaev manifold and variational method.
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Correction Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-04-01
In the article entitled “A mixed radiotherapy and chemotherapy model for treatment of cancer with metastasis,”1 we found that the affiliation of the authors Ali Ghaffari and Mostafa Nazari were incorrect. The correct affiliations are: Ali Ghaffari, Faculty of Mechanical Engineering, K. N. Toosi University of Technology, Pardis St., Vanak Sq., Tehran 16569 83911, Iran Mostafa Nazari, Faculty of Mechanical
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Stability of steady‐state solutions of a class of Keller–Segel models with mixed boundary conditions Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-29 Zefu Feng, Jing Jia, Shouming Zhou
In this paper, we investigate the existence and stability of non‐trivial steady‐state solutions of a class of chemotaxis models with zero‐flux boundary conditions and Dirichlet boundary conditions on a one‐dimensional bounded interval. By using upper–lower solution and the monotone iteration scheme method, we get the existence of the steady‐state solution of the chemotaxis model. Moreover, by adopting
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A five‐dimensional unemployment model with two distributed time delays Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-29 Liliana Harding, Eva Kaslik, Mihaela Neamtu, Loredana Flavia Vesa
The purpose of this paper is to build and analyze a model of labor market slack considering unemployment along with employment in which the number of hours is limited to a level below that preferred by employees. We thus have “underemployment” along with unemployment. We analyze the need for potential policy action directed at the reduction of unemployment, simultaneous with an autonomous process of
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On the slow–fast dynamics of a tri‐trophic food chain model with fear and Allee effects Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-27 Sanaa Moussa Salman, Elena Shchepakina
A three‐species food chain model with Allee and fear effects on both prey and predator is investigated in this work. The model consists of ODEs describing the evolution and interaction of prey, predator, and top predator populations in a biological system. We assume that the intrinsic growth rate of the prey is much smaller than a threshold value determined by other biological parameters of the model
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Reconstruction of an initial function from the solutions of the fractional wave equation on the light cone trace Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-27 Dabin Park, Sunghwan Moon
We reconstruct the initial functions from the trace of the solution of an initial value problem for the wave equation on the light cone. A method to recover the initial function from the solution of the wave equation on the light cone is already known for odd spatial dimensions. We generalize their work to the fractional wave equation and all dimensions. In other words, we present a method to reconstruct
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Uniform attractors for nonautonomous MGT‐Fourier system Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-26 Yang Wang, Jihui Wu
In this paper, we consider the dynamical behavior of nonautonomous MGT‐Fourier system We first establish the global existence and asymptotic behavior by semigroup method and multiplicative method. Next, we get the existence of the uniform attractors by the method of uniform contractive functions, which only need to verify compactness condition with the same type of energy estimates for establishing
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A stochastic Susceptible Vaccinees Infected Recovered epidemic model with three types of noises Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-25 Abdulwasea Alkhazzan, Jungang Wang, Yufeng Nie, Hasib Khan, Jehad Alzabut
Epidemics pose a serious threat to public health, and effective disease control measures are essential. To address this challenge, we propose a novel stochastic Susceptible Vaccinees Infected Recovered (SVIR) epidemic model that incorporates temporary immunities, media coverage, and three types of noises: white noise, telegraph noise, and L é $$ \overset{\acute }{e} $$ vy noise. Our model is more realistic
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Inverse nodal problems for singular diffusion equation Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-25 Rauf Amirov, Sevim Durak
In this study, some properties of the pencils of singular Sturm–Liouville operators are investigated. Firstly, the behaviors of eigenvalues and eigenfunctions is learned, then for each discontinuity point a solution of the inverse problem is given to determine the potential function and parameters , and with the help of a dense set of nodes. And finally, a constructive method is given for solving the
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A pseudo‐parabolic equation with logarithmic nonlinearity: Global existence and blowup of solutions Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-25 Sushmitha Jayachandran, Gnanavel Soundararajan
This article deals with a fourth‐order pseudo‐parabolic partial differential equation with logarithmic nonlinearity. We adopt the Faedo–Galerkin method to analyze the global existence of weak solutions and discuss the existence of a solution in subcritical and critical initial energy situations. Further, applying the concavity approach, we have shown that the solution blows up when the initial energy
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Cluster synchronization of fractional‐order complex networks via variable‐time impulsive control Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-25 Xiaoshuai Ding, Xue Wang, Jian Li, Jinde Cao, Jinling Wang
This paper investigates the cluster synchronization of fractional‐order complex networks. Considering that impulsive control can reduce the update of controller, and the appearance of impulse is always dependent on each node in the networks instead of appearing at fixed instant, thus we design a variable‐time impulsive controller to control the considered networks. Foremost, several assumptions are
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The steady states of antitone electric systems Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-25 Dan Comănescu
The steady states of an antitone electric system are described by an antitone function with respect to the componentwise order. When this function is bounded from below by a positive vector, it has only one fixed point. This fixed point is attractive for the fixed point iteration method. In the general case, we find existence and uniqueness results of fixed points using the set of ‐matrices.
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Well-posedness of quantum stochastic differential equations driven by fermion Brownian motion in noncommutative Lp-space Math. Methods Appl. Sci. (IF 2.9) Pub Date : 2024-03-24 Guangdong Jing, Penghui Wang, Shan Wang
This paper is concerned with quantum stochastic differential equations driven by the fermion field in noncommutative space L p ( 𝒞 ) for 2 ≤ p < ∞ $$ 2\le p<\infty $$ . First, we investigate the existence and uniqueness of L p $$ {L}^p $$ -solutions of quantum stochastic differential equations in an infinite time horizon by using the noncommutative Burkholder–Gundy inequality given by Pisier