Results on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay

V. Vijayakumar and R. Udhayakumar

Chaos, Solitons & Fractals, 2020, vol. 139, issue C

Abstract: This manuscript is mainly focusing on approximate controllability for non-densely defined Hilfer fractional differential system with infinite delay. We study our primary outcomes by employing fractional calculus and Bohnenblust-Karlin’s fixed point theorem. Then, we continue our study to prove the approximate controllability of the Hilfer fractional system with nonlocal conditions. Lastly, we give two applications to support the validity of the study.

Keywords: Hilfer fractional differential inclusions; Approximate controllability; Integrated semigroup; Nonlocal conditions (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (15)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:139:y:2020:i:c:s0960077920304173

DOI: 10.1016/j.chaos.2020.110019

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