Publications Scientifiques
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Item Controllability of impulsive fractional functional evolution equations with infinite state-dependent delay in Banach spaces(Wiley, 2021) Aimene, Djihad; Seba, Djamila; Laoubi, KarimaMany 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 theoryItem On approximate controllability of impulsive fractional semilinear systems with deviated argument in hilbert spaces(InforMath Publishing Group, 2020) Aimene, DjihadIn this paper we apply a fixed-point theorem to study the existence and uniqueness of a mild solution and the approximate controllability of a fractional order impulsive differential equation with deviated argument in Hilbert spaces. An example is provided to show the effectiveness of the theoryItem Controllability for Semilinear Fractional Integro-differential Systems with Deviated Argument in Banach Spaces(IEEE, 2020) Aimene, Djihad; Seba, Djamila; Laoubi, KarimaIn this work we will rely on the technique application of semigroup theory and fixed point theorem “Banach contraction” to demonstrate that there exists a mild solution to this type of controllability for semilinear fractional integro-differential equations with deviated arguments in Banach spacesItem Controllability results of Fractional Non-instantaneous Impulsive Semilinear Differential Inclusions with Infinite delay(IEEE, 2020) Boudjerida, Assia; Seba, Djamila; Laoubi, KarimaIn 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