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Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain
(Springer, 2022) Boudjerida, Assia; Seba, Djamila
The controllability of a class of nondensely defined fractional dynamic delay inclusions containing Hilfer fractional derivative, nonlocal conditions, and non-instantaneous impulses in abstract spaces is investigated without compactness assumption. The existence of an integral solution and the controllability for the given problem are established relying on a condensing fixed point theorem of multivalued maps. In support, an example is given to clarify the obtained theoretical outcomes
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