Results 11 to 20 of about 39,837 (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
openaire +4 more sources
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
openaire +1 more source
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
openaire +2 more sources
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
doaj +1 more source
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
doaj +1 more source
On the oscillation of q-fractional difference equations [PDF]
Advances in Difference Equations, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire +3 more sources
A Hilbert Space Approach to Fractional Difference Equations [PDF]
, 2020 We formulate fractional difference equations of Riemann-Liouville and Caputo type in a functional analytical framework. Main results are existence of solutions on Hilbert space-valued weighted sequence spaces and a condition for stability of linear fractional difference equations.
Anh, Pham The +7 more
openaire +2 more sources