Optimal control for fractional stochastic differential system driven by fractional Brownian motion with Poisson jumps

Authors : K RAVİKUMAR, Ramkumar KUMARK, Elsayed ELSAYED

Pages : 1-14

Doi:10.47086/pims.988575

View : 44 | Download : 23

Publication Date : 2022-08-30

Article Type : Research Paper

Abstract :The objective of this article is to investigate the optimal controls for a class of fractional stochastic di erential system driven by fractional Brownian motion with Poisson jumps in Hilbert space setting. The sucient conditions for the existence of mild solution results are formulated and proved by virtue of fractional calculus, solution operator and stochastic analysis techniques. Furthermore, the existence of optimal control of the proposed problem is presented by using Balder`s theorem. Finally, stochastic integrodi erential equations are provided to validate the applicability of the derived theoretical results.
Keywords : Fractional calculus, Stochastic di erential system, Mild solution, Optimal control, Fractional Brownian motion, Poisson jumps

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