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Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain

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Abstract

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.

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Authors and Affiliations

  1. Dynamic of Engines and Vibroacoustic Laboratory, University M’Hamed Bougara of Boumerdes, Boumerdes, Algeria

    Assia Boudjerida & Djamila Seba

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  1. Assia Boudjerida
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  2. Djamila Seba
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The two authors Assia Boudjerida and Djamila Seba contributed equally to the study, conception and writing of the manuscript.

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Correspondence to Djamila Seba.

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I hereby declare that this manuscript is the result of our independent creation under the reviewers’ comments. Except for the quoted contents, this manuscript does not contain any research achievements that have been published or written by other individuals or groups. We are the only author of this manuscript. The legal responsibility of this statement shall be borne by me.

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Boudjerida, A., Seba, D. Controllability of nonlocal Hilfer fractional delay dynamic inclusions with non-instantaneous impulses and non-dense domain. Int. J. Dynam. Control 10, 1613–1625 (2022). https://doi.org/10.1007/s40435-021-00887-0

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  • DOI: https://doi.org/10.1007/s40435-021-00887-0

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