Nonlocal Fractional Differential Equation On The Half Line in Banach Space

Abstract

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