Nonlocal Fractional Differential Equation On The Half Line in Banach Space

Year 2022, Volume: 6 Issue: 1, 118 - 134, 31.03.2022

Kheireddine Benia El Hadi Ait Dads Moustafa Beddani , Benaouda Hedia

https://doi.org/10.31197/atnaa.942349

Abstract

Our aim in this paper is to study the existence of solution sets and its topological structure for non-local
fractional differential equations on the half-line in a Banach space using Riemann-Liouville definition. The
main result is based on Meir-Keeler fixed point theorem for condensing operators combined with measure of
non-compactness. An example is given to illustrate the feasibility of our main result.

Keywords

Nonlocal boundary value problem, measure of non-compactness, unbounded domain, Banach space, fixed point theorem, Riemann-Liouville fractional derivative, Meir-Keeler condensing operator, fractional differential equations

Supporting Institution

University of Tiaret, Laboratory of mathematics and informatics

Project Number

COOL03UN140130180002

Thanks

The authors would like to express their thanks to the editor and anonymous referees for his/her suggestions and comments that improved the quality of the paper.

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