Download This PaperControllability 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
Abstract
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
Suggested Citation: Suggested Citation
Aimene, Djihad and Seba, Djamila and Laoubi, Karima, Controllability of Impulsive Fractional Functional Evolution Equations with Infinite State-Dependent Delay in Banach Spaces (July 1, 2018). Proceedings of International Conference on Fractional Differentiation and its Applications (ICFDA) 2018, Available at SSRN: https://ssrn.com/abstract=3273671 or http://dx.doi.org/10.2139/ssrn.3273671
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