Controllability of Impulsive Fractional Functional Evolution Equations with Infinite State-Dependent Delay in Banach Spaces
22 Pages Posted: 12 Nov 2018
Date Written: July 1, 2018
In this paper, we study the controllability of an impulsive fractional differential equation with infinite state-dependent delay in an arbitrary Banach space. We apply semigroup theory and Schaefer fixed point theorem. As an application, we include an example to illustrate the theory.
Keywords: Controllability, Fractional Derivatives and Integrals, Impulses, State-Dependent Delay, Semigroup Theory, Fixed-Point
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