Nonlocal Fractional Differential Equation On The Half Line in Banach Space

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Advances in the Theory of Nonlinear Analysis and its Application
Volume:6 Issue:1
Nonlocal Fractional Differential Equation On The Half Line in Banach Space

Nonlocal Fractional Differential Equation On The Half Line in Banach Space

Authors : Kheireddine BENİA, El Hadi Ait DADS, Moustafa BEDDANİ, Benaouda HEDİA

Pages : 118-134

Doi:10.31197/atnaa.942349

View : 13 | Download : 19

Publication Date : 2022-03-31

Article Type : Research Paper

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

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