Existence of solutions for fractional difference equations via topological degree methods

被引：0

作者：

Jia Wei He

Lu Zhang

Yong Zhou

Bashir Ahmad

机构：

[1] Xiangtan University,Faculty of Mathematics and Computational Science

[2] King Abdulaziz University,Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science

来源：

Advances in Difference Equations | / 2018卷

关键词：

Fractional differences equations; Caputo-like difference operator; Existence; Topological degree methods; 34D20; 39A06; 39A13;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

In this paper, a class of nonlinear fractional difference equations with Caputo-like difference operator is considered. Some existence results for the given equation are obtained by means of topological degree methods. Three examples are constructed for the illustration of the obtained theory.

引用

共 50 条

[21] Existence and uniqueness of solutions for nonlinear Caputo fractional difference equations
Chen, Churong
Bohner, Martin
Jia, Baoguo
TURKISH JOURNAL OF MATHEMATICS, 2020, 44 (03) : 857 - 869
[22] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS
Ulke, Oykum
Topal, Fatma Serap
MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 473 - 487
[23] Existence, Uniqueness, and Stability of Solutions for Nabla Fractional Difference Equations
Dimitrov, Nikolay D.
Jonnalagadda, Jagan Mohan
FRACTAL AND FRACTIONAL, 2024, 8 (10)
[24] EXISTENCE OF SOLUTIONS FOR NONLINEAR FRACTIONAL DIFFERENCE EQUATIONS WITH INITIAL CONDITIONS
Atici, Ferhan M.
Wu, Fang
DYNAMIC SYSTEMS AND APPLICATIONS, 2014, 23 (2-3): : 265 - 276
[25] Discrete Transform Methods of Solutions of the fractional difference equations
Wang, Wu-Sheng
2018 5TH INTERNATIONAL CONFERENCE ON INFORMATION SCIENCE AND CONTROL ENGINEERING (ICISCE 2018), 2018, : 714 - 717
[26] Existence of local solutions for fractional difference equations with Dirichlet boundary conditions
Henderson, Johnny
JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS, 2019, 25 (06) : 751 - 756
[27] The existence and uniqueness of solutions to boundary value problems of fractional difference equations
Yuanyuan Pan
Zhenlai Han
Shurong Sun
Zhiqing Huang
Mathematical Sciences, 2012, 6 (1)
[28] The existence of solutions to a class of boundary value problems with fractional difference equations
Pan, Yuanyuan
Han, Zhenlai
Sun, Shurong
Hou, Chuanxia
ADVANCES IN DIFFERENCE EQUATIONS, 2013,
[29] Existence and uniqueness of solutions for fractional q-difference Schrodinger equations
Ma, Kuikui
Han, Zhenlai
Sun, Shurong
JOURNAL OF APPLIED MATHEMATICS AND COMPUTING, 2020, 62 (1-2) : 611 - 620
[30] Existence and multiplicity of positive solutions to a system of fractional difference equations with parameters
Pimchana Siricharuanun
Saowaluck Chasreechai
Thanin Sitthiwirattham
Advances in Difference Equations, 2020

← 1 2 3 4 5 →