Controllability of coupled systems for impulsive φ-Hilfer fractional integro-differential inclusions. Issue 2 (22nd January 2022)

• Record Type: Journal Article
• Authors: Boudjerida, A.; Seba, D.; N'Guérékata, G. M.
• Is Part Of: Applicable analysis. Volume 101:Issue 2(2022)
• Page Start: 383
• Page End: 400
• Publication Date: 2022-01-22
• Subjects: φ-Hilfer fractional derivative -- controllability results -- impulses -- integro-differential inclusions -- fixed point theorem -- coupled system -- nonlocal integral conditions; 26A33 -- 93B05 -- 34A37 -- 34A60 -- 47H10; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1742884
• Languages: English
• ISSNs: 0003-6811

Abstract

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.