Ramkumar, Kasinathan and Ravikumar, Kasinathan (2025) Conformable Fractional Stochastic Differential Inclusions Driven byPoisson JumpswithOptimalControlandClarke Subdifferential. Conformable Fractional Stochastic Differential Inclusions Driven byPoisson JumpswithOptimalControlandClarke Subdifferential, 38: 45.

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Abstract

This manuscript is devoted to analysing the solvability and optimal control of a con
formable fractional stochastic differential inclusion with Clarke subdifferential and
deviated argument. The proposed conformable fractional impulsive inclusion sys
tem’s solvability in Hilbert space is established by employing fractional calculus,
multivalued analysis, stochastic analysis, semigroup theory and a multivalued fixed
pointtheorem.Furthermore,undersomesuitableassumptions,theexistenceofoptimal
control is derived by employing Balder’s theorem. Lastly, an application is provided
to validate the developed theoretical results

Item Type: Article
Uncontrolled Keywords: Conformable fractional stochastic differential inclusion · Multivalued analysis · Optimal control · Poisson jumps · Deviated argument
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 27 Oct 2025 09:25
Last Modified: 27 Oct 2025 09:25
URI: https://ir.psgcas.ac.in/id/eprint/2472

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