A New Existence Results on Fractional Differential Inclusions With State-Dependent Delay and Mittag-Leffler Kernel in Banach Space

Abstract

In this manuscript the existence of the fractional-order functional differential inclusions [FFDI] with state-dependent delay [SDD] is investigated within the Mittag-Leffler kernel. We use both contractive and condensing maps to prove the existence of mild solutions through solution operator. Finally, an example is presented to illustrate the theoretical findings.