Existence results of nonlocal Robin mixed Hahn and q -difference boundary value problems

Advances in Difference Equations

article

Dumrongpokaphan, Thongchai¹  Patanarapeelert, Nichaphat²  Sitthiwirattham, Thanin³ 

[1] Research Center in Mathematics and Applied Mathematics, Department of Mathematics, Faculty of Science, Chiang Mai University;Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok;Mathematics Department, Faculty of Science and Technology, Suan Dusit University

关键词: Fractional q -calculus;    Fractional Hahn calculus;    Robin boundary value problems;    Existence;   

DOI  :  10.1186/s13662-020-02756-0

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we aim to study a nonlocal Robin boundary value problem for fractional sequential fractional Hahn-q-equation. The existence and uniqueness results for this problem are revealed by using the Banach fixed point theorem. In addition, the existence of at least one solution is studied by using Schauder’s fixed point theorem. The theorems for existence results are obtained.

【 授权许可】

CC BY