Publications Scientifiques
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Item Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain(Springer, 2022) Boudjerida, Assia; Seba, DjamilaThe 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 outcomesItem Controllability results for nondensely defined impulsive fractional-order functional semilinear differential inclusions in abstract space(American Institute of Physics, 2019) Boudjerida, Assia; Seba, Djamila; Laoubi, KarimaIn this work, we prove the controllability result of integral solutions defined on a real compact interval for a class of impulsive functional differential inclusions with fractional order and nonlocal conditions, in the case when the linear part is a non-densely defined operator and satisfies the Hille-Yosida condition. The main tool is an appropriate fixed point theorem, integrated semigroup, and the known facts about fractional calculusItem Controllability of coupled systems for impulsive φ- Hilfer fractional integro-differential inclusions(Taylor & Francis, 2020) Boudjerida, Assia; Seba, Djamila; N'Guérékata, G. M.This paper studies the controllability of a coupled system for a class of impulsive fractional integro-differential inclusions involving φ-Hilfer fractional derivative and subject to coupled nonlocal integral initial conditions in the case of convex set-valued maps. Some auxiliary conditions are introduced in order to apply a fixed point theorem due to Bohnenblust–Karlin. An illustrative example is provided to exemplify our theoretical results