Controllability of Impulsive Fractional Functional Evolution Equations with Infinite State-Dependent Delay in Banach Spaces

22 Pages Posted: 12 Nov 2018

See all articles by Djihad Aimene

Djihad Aimene

University M'Hamed Bougara of Boumerdes

Djamila Seba

University M'Hamed Bougara of Boumerdes

Karima Laoubi

University M'Hamed Bougara of Boumerdes

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

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

Djihad Aimene (Contact Author)

University M'Hamed Bougara of Boumerdes ( email )

Boumerdès
Algeria

Djamila Seba

University M'Hamed Bougara of Boumerdes ( email )

Boumerdès
Algeria

Karima Laoubi

University M'Hamed Bougara of Boumerdes ( email )

Boumerdès
Algeria

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