Results 11 to 20 of about 40,961 (259)
Stability analysis of fractional difference equations with delay
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the “fractional order difference,” can also have a long-time memory.
Divya D. Joshi +2 more
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Journal of Hebei University of Science and Technology, 2022 In order to enrich the basic theory of boundary value problems of fractional (p,q)[KG-*2]-[KG-*3]difference equations,the solvability of nonlocal problems for a class of nonlinear fractional (p,q)[KG-*2]-[KG-*3]difference equations was investigated ...
Jufang WANG, Si WANG, Changlong YU
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Advances in Difference Equations, 2021 This paper will solve one of the fractional mathematical physics models, a one-dimensional time-fractional differential equation, by utilizing the second-order quarter-sweep finite-difference scheme and the preconditioned accelerated over-relaxation ...
Andang Sunarto +4 more
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Numerical Methods for Fractional Reaction-Dispersion Equation with Riesz Space Fractional Derivative [PDF]
Engineering and Technology Journal, 2011 In this paper, a numerical solution of fractional reaction-dispersion equation with Riesz space fractional derivative has been presented. The algorithm for the numerical solution for this equation is based on two finite difference methods.
I. I. Gorial
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Fractional ${q}$-difference equations on the half line [PDF]
Archivum Mathematicum, 2020 Summary: This article deals with some results about the existence of solutions and bounded solutions and the attractivity for a class of fractional \(q\)-difference equations. Some applications are made of Schauder fixed point theorem in Banach spaces and Darbo fixed point theorem in Fréchet spaces.
Abbas, Saïd +3 more
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On Nonlinear Fractional Difference Equation with Delay and Impulses [PDF]
Symmetry, 2020 In this paper, we establish the existence results for a nonlinear fractional difference equation with delay and impulses. The Banach and Schauder’s fixed point theorems are employed as tools to study the existence of its solutions. We obtain the theorems showing the conditions for existence results.
Rujira Ouncharoen +2 more
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Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described in the Caputo sense.
H. Porki, M. Arabameri, R. Gharechahi
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On the oscillation of q-fractional difference equations [PDF]
Advances in Difference Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
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Advances in Difference Equations, 2018 The exact solution of fractional telegraph partial differential equation of nonlocal boundary value problem is obtained. The theorem of stability estimates is presented for this equation.
Mahmut Modanlı
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