On Fractional Differential Equations With State-Dependent Delay Via Kuratowski Measure Of Noncompactness

Abstract

This paper is devoted to study the existence of mild solutions for
semilinear functional differential equations with state-dependent
delay involving the Riemann-Liouville fractional derivative in a
Banach space and resolvent operator. The arguments are based upon M\"{o}nch's fixed point theorem and the technique of measure of noncompactness.