Results on approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type

K. Kavitha, V. Vijayakumar, Anurag Shukla, Kottakkaran Sooppy Nisar and R. Udhayakumar

Chaos, Solitons & Fractals, 2021, vol. 151, issue C

Abstract: The basic motivation of this research paper is the approximate controllability of Sobolev-type fractional neutral differential inclusions of Clarke subdifferential type which generalized the Riemann-Liouville fractional derivative. Combining with the techniques of fractional calculus, fixed point theorem for multi-value dmaps and Sobolev-type and Clarke subdifferential to the approximate controllability system we obtain new existence result of mild solutions. Next, we demonstrate linear and semilinear systems for approximate controllability. Finally, to verify our theoretical results, an illustration is also included.

Keywords: Hemivariational inequality; Generalized Clarke’s subdifferential type; Fractional derivative; Approximate controllability; Neutral systems (search for similar items in EconPapers)
Date: 2021
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:151:y:2021:i:c:s0960077921006184

DOI: 10.1016/j.chaos.2021.111264

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