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

Keywords:

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

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.

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Published

2023-08-01

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Section

Articles

How to Cite

New existence result under weak topology for fractional differential equations . (2023). Advances in the Theory of Nonlinear Analysis and Its Application, 7(1), 272-279. https://atnaea.org/index.php/journal/article/view/46