On A Class of Fractional Differential Equations with Arbitrary Singularities

Authors : Lilia GHAFFOUR, Zoubir DAHMANİ

Pages : 244-251

View : 12 | Download : 5

Publication Date : 2020-10-27

Article Type : Research Paper

Abstract :In this paper, we consider a class of singular fractional differential equations such that its right hand side has an arbitrary singularity on certain interval of the real axis. We obtain new results on the existence and uniqueness of solutions using some classical fixed point theorems.                                                                                                                                                                                                                                                                                                                                                                                                                               
Keywords : caputo derivative, differential equations, existence, fixed point, singularity, uniqueness