Existence and attractivity of solutions for fractional difference equations

被引：11
|
作者：
Zhang, Lu [1 ]
Zhou, Yong [1 ,2 ]
机构：
[1] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan, Peoples R China
[2] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah, Saudi Arabia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2018年
基金：
中国国家自然科学基金;
关键词：
Fractional difference equations; Existence; Attractivity;
D O I：
10.1186/s13662-018-1637-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a kind of difference equations with Riemann-Liouville-like fractional difference. The results on existence and attractivity are obtained by using the Picard iteration method and Schauder's fixed point theorem. Examples are provided to illustrate the main results.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] Existence and attractivity of solutions for fractional difference equations
    Lu Zhang
    Yong Zhou
    [J]. Advances in Difference Equations, 2018
  • [2] Existence and Attractivity for Fractional Evolution Equations
    Zhou, Yong
    He, Jia Wei
    Ahmad, Bashir
    Alsaedi, Ahmed
    [J]. DISCRETE DYNAMICS IN NATURE AND SOCIETY, 2018, 2018
  • [3] Existence and Global Attractivity of Periodic Solutions to Some Classes of Difference Equations
    Stevic, Stevo
    Ircanin, Bratislav
    Kosmala, Witold
    Smarda, Zdenek
    [J]. FILOMAT, 2019, 33 (10) : 3187 - 3201
  • [4] Existence of solutions for a class of fractional difference equations at resonance
    Chen, Huiqin
    Cui, Yaqiong
    Kang, Shugui
    Lu, Youmin
    Feng, Wenying
    [J]. STUDIES IN APPLIED MATHEMATICS, 2021, 146 (04) : 881 - 900
  • [5] EXISTENCE AND UNIQUENESS OF SOLUTIONS OF NABLA FRACTIONAL DIFFERENCE EQUATIONS
    Mert, Raziye
    Peterson, Allan
    Abdeljawad, Thabet
    Erbe, Lynn
    [J]. DYNAMIC SYSTEMS AND APPLICATIONS, 2019, 28 (01): : 183 - 194
  • [6] Existence of solutions for fractional q-difference equations
    Ulke, Oykum
    Topal, Fatma Serap
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (03): : 573 - 591
  • [7] SOLUTIONS OF FRACTIONAL NABLA DIFFERENCE EQUATIONS - EXISTENCE AND UNIQUENESS
    Jonnalagadda, Jagan Mohan
    [J]. OPUSCULA MATHEMATICA, 2016, 36 (02) : 215 - 238
  • [8] EXISTENCE AND ATTRACTIVITY OF SOLUTIONS FOR FRACTIONAL FUNCTIONAL DIFFERENTIAL EQUATIONS WITH MULTI R-L FRACTIONAL DERIVATIVES
    Wang, Qi
    [J]. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024,
  • [9] Existence and attractivity of global solutions for a class of fractional quadratic integral equations in Banach space
    Huiwen Wang
    Fang Li
    [J]. Advances in Difference Equations, 2016
  • [10] Existence and Attractivity Results for Hilfer Fractional Differential Equations
    Abbas S.
    Benchohra M.
    Henderson J.
    [J]. Journal of Mathematical Sciences, 2019, 243 (3) : 347 - 357
12345