Ramkumar, K and Ravikumar, K (2022) Optimal control of Hilfer fractional stochastic integrodifferential systems driven by Rosenblatt process and Poisson jumps. Optimal control of Hilfer fractional stochastic integrodifferential systems driven by Rosenblatt process and Poisson jumps, 3 (4). pp. 1-9.

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Abstract

In this work, the optimal control for a class of Hilfer fractional stochastic integrodifferential systems
driven by Rosenblatt process and Poisson jumps has been discussed in infinite dimensional
space involving the Hilfer fractional derivative. First, we study the existence and uniqueness of
mild solution results are proved by the virtue of fractional calculus, successive approximation
method and stochastic analysis techniques. Second, the optimal control of the proposed problem
is presented by using Balder’s theorem. Finally, an example is demonstrated to illustrate the
obtained theoretical results.

Item Type: Article
Uncontrolled Keywords: Hilfer fractional derivative; stochastic integrodifferential systems; Rosenblatt process; Poisson jumps; successive approximation; optimal control
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Dr. B Sivakumar
Date Deposited: 29 Nov 2025 05:44
Last Modified: 29 Nov 2025 05:44
URI: https://ir.psgcas.ac.in/id/eprint/2540

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