https://doi.org/10.1140/epjs/s11734-024-01200-8
Regular Article
Optimal control system of multi-term fractional stochastic inclusion with Clarke’s subdifferential
1
Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram, 624 302, Dindigul, Tamil Nadu, India
2
Department of Mathematics, M.Kumarasamy College of Engineering, Thalavapalayam, 639 113, Karur, Tamil Nadu, India
Received:
24
March
2024
Accepted:
4
June
2024
Published online:
27
June
2024
This article examines the optimal control of multi-term fractional stochastic inclusion with Clarke’s subdifferential driven by mixed fractional Brownian motion in Hilbert space. The existence of the mild solution for the considered system is explored by utilizing multivalued functions, stochastic analysis, fractional calculus, and fixed point technique. Further, the optimal control of the presented system is provided through Balder’s theorem.
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© The Author(s), under exclusive licence to EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
