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Controllability of impulsive fractional functional evolution equations with infinite state-dependent delay in Banach spaces
(Wiley, 2021) Aimene, Djihad; Seba, Djamila; Laoubi, Karima
Many evolutionary processes from various fields of physical and engineering sciences undergo abrupt changes of state at certain moments of time between intervals of continuous evolution. These processes are more suitably modeled by impulsive differential equations. 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
Controllability results of Fractional Non-instantaneous Impulsive Semilinear Differential Inclusions with Infinite delay
(IEEE, 2020) Boudjerida, Assia; Seba, Djamila; Laoubi, Karima
In the content of this paper, we will talk over the controllability results for an active type of impulsive fractional semilinear differential inclusions with non-instantaneous impulses and infinite delay by means of caputo fractional derivative. To establish our principal results we give some sufficient hypotheses, we use the Known facts about multivalued map and fractional calculus, and we employing the different techniques of fixed point theorem