New existence result under weak topology for fractional differential equations

Year 2023, Volume: 7 Issue: 1, 272 - 279, 31.03.2023

Hallaci Ahmed , Professor Dr. , Krichen Bilel , Mefteh Bilel

https://doi.org/10.31197/atnaa.1235476

Abstract

This paper deals with the existence of weak solutions for an initial value problem involving Riemann-Liouville-type fractional derivatives. To this end, we transform the posed problem to a sum of two integral operators, then we apply a variant of Krasnoselskii’s fixed point theorem under weak topology to conclude the existence of weak solutions.

Keywords

Fractional differential equations, Weak topology, Existence result, Fixed pointtheorems

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