On controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential

Chuanlin Zhang, Guoju Ye, Wei Liu and Xuelong Liu

Chaos, Solitons & Fractals, 2024, vol. 183, issue C

Abstract: In this paper, our main purpose is to search and obtain the controllability for Sobolev-type fuzzy Hilfer fractional integro-differential inclusions with Clarke subdifferential. Some sufficient conditions for the controllability results of this inclusion problem are proposed by using related techniques of fuzzy set theory, Sobolev-type, fractional calculus and Clarke subdifferential. The theorem of the controllability results is proved by Bohnenblust–Karlin fixed point theorem. In addition, we show an example to explain the controllability results of this inclusion problem.

Keywords: Fuzzy Hilfer fractional inclusions; Sobolev-type equations; Clarke subdifferential; Fixed point theorem (search for similar items in EconPapers)
Date: 2024
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:183:y:2024:i:c:s0960077924004594

DOI: 10.1016/j.chaos.2024.114907

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