Controllability of coupled systems for impulsive φ-Hilfer fractional integro-differential inclusions

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 int...

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Bibliographic Details
Published inApplicable analysis Vol. 101; no. 2; pp. 383 - 400
Main Authors Boudjerida, A., Seba, D., N'Guérékata, G. M.
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis 22.01.2022
Taylor & Francis Ltd
Subjects
Controllability
controllability results
coupled system
Derivatives
fixed point theorem
Fixed points (mathematics)
impulses
Inclusions
Initial conditions
Integrals
integro-differential inclusions
nonlocal integral conditions
φ-Hilfer fractional derivative
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Summary: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.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:0003-6811
1563-504X
DOI:10.1080/00036811.2020.1742884