Existence of solutions for boundary value problem for a class of coupled system of nonlinear fractional <italic style="font-style: italic">q</italic>-difference equations

MENG Xin

doi:10.13471/j.cnki.acta.snus.2021A022

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Existence of solutions for boundary value problem for a class of coupled system of nonlinear fractional q-difference equations

Research articles | 更新时间：2023-11-01

- Existence of solutions for boundary value problem for a class of coupled system of nonlinear fractional q-difference equations
- Acta Scientiarum Naturalium Universitatis Sunyatseni Vol. 62, Issue 2, Pages: 165-171(2023)
- 作者机构：
  
  吉林师范大学数学与计算机学院，吉林四平 136000
- 作者简介：
- 基金信息：
- DOI：10.13471/j.cnki.acta.snus.2021A022
  CLC： O175.8
- Published：25 March 2023，
  
  Published Online：30 December 2022，
  
  Received：23 April 2021，
  
  Accepted：13 September 2021
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孟鑫.一类非线性分数阶q-差分方程耦合系统边值问题解的存在性[J].中山大学学报(自然科学版),2023,62(02):165-171.

MENG Xin.Existence of solutions for boundary value problem for a class of coupled system of nonlinear fractional q-difference equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(02):165-171.
孟鑫.一类非线性分数阶q-差分方程耦合系统边值问题解的存在性[J].中山大学学报(自然科学版),2023,62(02):165-171. DOI： 10.13471/j.cnki.acta.snus.2021A022.

MENG Xin.Existence of solutions for boundary value problem for a class of coupled system of nonlinear fractional q-difference equations[J].Acta Scientiarum Naturalium Universitatis Sunyatseni,2023,62(02):165-171. DOI： 10.13471/j.cnki.acta.snus.2021A022.

摘要

考虑了一类非线性Caputo型分数阶

-差分方程耦合系统边值问题。应用Leray-Schauder非线性抉择和Altman不动点定理证明该耦合系统边值问题解的存在性。最后通过例子说明了主要结论在实际问题中应用。

Abstract

The boundary value problem for a class of coupled system of nonlinear Caputo fractional

-difference equations is considered. The existence of solutions for the coupled system is obtained by using the Leray-Schauder nonlinear alternative and the Altman fixed point theorem. As applications， some examples are presented to illustrate the main results.

关键词

分数阶q-差分方程耦合系统边值问题Leray-Schauder非线性抉择

Keywords

fractional q-difference equationcoupled systemvalue problemsLeray-Schauder nonlinear alternative

references

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Existence of solutions for boundary value problem for a class of coupled system of nonlinear fractional q-difference equations

DOI：10.13471/j.cnki.acta.snus.2021A022

摘要

Abstract

关键词

Keywords

references