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Applicable Analysis
An International Journal
Volume 101, 2022 - Issue 2
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Articles

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

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Pages 383-400 | Received 21 Jan 2020, Accepted 06 Mar 2020, Published online: 09 Apr 2020
 

ABSTRACT

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.

AMS (2010) Subject Classifications:

Disclosure statement

No potential conflict of interest was reported by the author(s).

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