Existence of solutions to multi-point boundary value problem of fractional order on the half-line

Abdellatif Ghendir Aoun

Department of Mathematics, Faculty of Exact Sciences, University of El-Oued, Algeria Operators Theory Laboratory (LABTHOP)

Abstract: The purpose of this paper is to establish the existence of solutions to multi-point fractional boundary value problem on an infinite interval. Using the fixed point theory, sufficient conditions are obtained that guarantee the existence of at least one solution. At the end, an example is presented to illustrate the main results

Keywords and phrases: boundary value problem, infinite interval, fractional differential equation, nonlocal condition, fixed point theorem.

MSC: 34A08, 34A12, 34B10

Received: 05.06.2020

Language: English

DOI: 10.56415/basm.y2023.i3.p37