On A Class of Fractional Differential Equations with Arbitrary Singularities

Year 2020, Volume: 8 Issue: 2, 244 - 251, 27.10.2020

Lilia Ghaffour Zoubir Dahmani

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

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