New existence result under weak topology for fractional differential equations

Author:

AHMED Hallaci1ORCID,DR. ProfessorORCID,BİLEL KrichenORCID,BİLEL MeftehORCID

Affiliation:

1. ENS Ouargla-Algeria

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.

Publisher

Erdal Karapinar

Subject

Applied Mathematics,Analysis

Reference17 articles.

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4. [4] S. Das, I. Pan, Fractional order signal processing: introductory concepts and applications, Springer Science and Business Media, 2011.

5. [5] I. Petrás, Fractional-order nonlinear systems: modeling, analysis and simulation, Springer Science and Business Media, 2011.

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