Title: Approximate controllability of Sobolev-type nonlocal Hilfer fractional stochastic differential system
Authors: Saravanakumar Subramaniam
Addresses: Department of Mathematics, The Gandhigram Rural Institute (Deemed to be University), Gandhigram – 624 302, Tamil Nadu, India
Abstract: This manuscript is concerned with the approximate controllability of Sobolev-type nonlocal Hilfer fractional stochastic differential equation (FSDE) driven by the Rosenblatt process. By utilising the concepts of fractional calculus, stochastic theory, and semi-group theory, the required conditions for approximate controllability by assuming that the corresponding linear system is approximately controllable have been proved. Further, an example is provided to express the obtained theoretical result.
Keywords: approximate controllability; HFD; Hilfer fractional derivative; stochastic differential system; nonlocal condition; Rosenblatt process.
DOI: 10.1504/IJDSDE.2022.127811
International Journal of Dynamical Systems and Differential Equations, 2022 Vol.12 No.5, pp.412 - 430
Accepted: 07 Mar 2021
Published online: 19 Dec 2022 *