JIANG Congying,HOU Chengmin*.Existence of solutions to a class of Caputo fractional q- difference equations with p- Laplacian operator and integral boundary value conditions[J].Journal of Yanbian University,2021,47(03):193-199.
一类带有p -Laplacian 算子与积分边值条件的Caputo分数阶 q- 差分方程解的存在性
- Title:
- Existence of solutions to a class of Caputo fractional q- difference equations with p- Laplacian operator and integral boundary value conditions
- 文章编号:
- 1004-4353(2021)03-0193-07
- Keywords:
- p - Laplacian operator; q - difference equation; Caputo fractional derivative; Arzelà -Ascoli theorem; Schauder fixed point theorem
- 分类号:
- O175.6
- 文献标志码:
- A
- 摘要:
- 研究了一类带有p - Laplacian算子与积分边界条件的Caputo分数阶q- 差分方程:{CD</sup>βq(φp(CD</sup>αqu(t)))+f(t,u(t))=0, t∈[0,1]; u(1)=λ∫10u(s)dqs, Dqu(0)=0,CD</sup>αqu(1)=b CD</sup>αqu(ξ).
- Abstract:
- A class of Caputo fractional q - difference equations with p - Laplacian operator and integral boundary conditions are studied {CD</sup>βq(φp(CD</sup>αqu(t)))+f(t,u(t))=0, t∈[0,1]; u(1)=λ∫10u(s)dqs, Dqu(0)=0,CD</sup>αqu(1)=b CD</sup>αqu(ξ). First, the Arzelà -Ascoli theorem and the Schauder fixed point theorem are used to prove the relevant conclusions of the existence of such Caputo fractional q - difference equations, and then an example is used to verify the main conclusions obtained in the article.
参考文献/References:
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备注/Memo
收稿日期: 2021-03-21
基金项目: 吉林省教育厅“十三五”科学技术研究项目(JJKH20170454KJ)
*通信作者: 候成敏(1963—),女,硕士,教授,研究方向为微分方程及其应用.