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
收藏
相关论文
共 50 条
  • [1] Existence of solutions for fractional difference equations via topological degree methods
    He, Jia Wei
    Zhang, Lu
    Zhou, Yong
    Ahmad, Bashir
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [2] Existence and attractivity of solutions for fractional difference equations
    Zhang, Lu
    Zhou, Yong
    ADVANCES IN DIFFERENCE EQUATIONS, 2018,
  • [3] Existence and attractivity of solutions for fractional difference equations
    Lu Zhang
    Yong Zhou
    Advances in Difference Equations, 2018
  • [4] SOLUTIONS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS - EXISTENCE AND UNIQUENESS
    Jonnalagadda, Jagan Mohan
    OPUSCULA MATHEMATICA, 2016, 36 (02) : 215 - 238
  • [5] EXISTENCE AND UNIQUENESS OF SOLUTIONS FOR FRACTIONAL Q-DIFFERENCE EQUATIONS
    Ulke, Oykum
    Topal, Fatma Serap
    MISKOLC MATHEMATICAL NOTES, 2023, 24 (01) : 473 - 487
  • [6] STUDY IN FRACTIONAL DIFFERENTIAL EQUATIONS BY MEANS OF TOPOLOGICAL DEGREE METHODS
    Wang, JinRong
    Zhou, Yong
    Wei, Wei
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (02) : 216 - 238
  • [7] QUALITATIVE ANALYSIS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS VIA TOPOLOGICAL DEGREE METHOD
    Wang, JinRong
    Zhou, Yong
    Medved, Milan
    TOPOLOGICAL METHODS IN NONLINEAR ANALYSIS, 2012, 40 (02) : 245 - 271
  • [8] Solutions for Impulsive Fractional Differential Equations via Variational Methods
    Li, Peiluan
    Wang, Hui
    Li, Zheqing
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [9] Existence results of fractional delta–nabla difference equations via mixed boundary conditions
    Jiraporn Reunsumrit
    Thanin Sitthiwirattham
    Advances in Difference Equations, 2020
  • [10] EXISTENCE OF MILD SOLUTIONS FOR FRACTIONAL EVOLUTION EQUATIONS
    Zhang, Zufeng
    Liu, Bin
    FIXED POINT THEORY, 2014, 15 (01): : 325 - 334
12345