On the existence of solutions for a multi-singular pointwise defined fractional system

Advances in Difference Equations

Mehdi Shabibi¹  Ali Mansouri²  Shahram Rezapour³ 

[1] Department of Mathematics, Meharn Branch, Islamic Azad University;Department of Mathematics, South Tehran Branch, Islamic Azad University;Institute of Research and Development, Duy Tan University;

关键词: Boundary value condition;    Multi-singular system;    Solution of a pointwise defined equation;    The fractional Caputo derivative;   

DOI  :  10.1186/s13662-020-03106-w

来源: DOAJ

【 摘 要 】

Abstract One of best ways for increasing our abilities in exact modeling of natural phenomena is working with a singular version of different fractional differential equations. As is well known, multi-singular equations are a modern version of singular equations. In this paper, we investigate the existence of solutions for a multi-singular fractional differential system. We consider some particular boundary value conditions on the system. By using the α-ψ-contractions and locating some control conditions, we prove that the system via infinite singular points has solutions. Finally, we provide an example to illustrate our main result.

【 授权许可】

Unknown