- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 7 Issue: 1
- New existence result under weak topology for fractional differential equations
New existence result under weak topology for fractional differential equations
Authors : Hallaci AHMED, Professor DR., Krichen BİLEL, Mefteh BİLEL
Pages : 272-279
Doi:10.31197/atnaa.1235476
View : 77 | Download : 78
Publication Date : 2023-03-31
Article Type : Research Article
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