Existence result for a problem involving ψ-Riemann-Liouville fractional derivative on unbounded domain

Abstract

. This paper deals with the the existence of solution sets and its topological structure for a fractional differential equation with ψ -Riemann-Liouville fractional derivative on ( 0 , ∞ ) in a special Banach space. Our approach is based on a fi xed point theorem for Meir-Keeler condensing operators combined with measure of non-compactness. An example is given to illustrate our approach.