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Author: search.filters.author.Boudjerida, AssiaHas files: No

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    Approximate controllability of hybrid Hilfer fractional differential inclusions with non-instantaneous impulses
    (Elsevier, 2021) Boudjerida, Assia; Seba, Djamila
    This paper deals with the approximate controllability of a class of non-instantaneous impulsive hybrid systems for fractional differential inclusions under Hilfer derivative of order 1<σ<2 and type 0≤ζ≤1, on weighted spaces. As an alternative to the Wright function which is defined only when 0<σ<1, we make use of a family of general fractional resolvent operators to give a proper form of the mild solution. This latter is consequently formulated by Laplace transform, improving and extending important results on this topic. Based on known facts about fractional calculus and set-valued maps, properties of the resolvent operator, and a hybrid fixed point theorem for three operators of Schaefer type, the existence result and the approximate controllability of our system is achieved. An example is given to demonstrate the effectiveness of our result
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    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