- Advances in the Theory of Nonlinear Analysis and its Application
- Vol: 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 : 4 | Download : 23
Publication Date : 2022-03-31
Article Type : Research
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