Existence of Sobolev-Type Hilfer Fractional Neutral Stochastic Evolution Hemivariational Inequalities and Optimal Controls

Autor:	Sivajiganesan Sivasankar, Ramalingam Udhayakumar, Venkatesan Muthukumaran, Saradha Madhrubootham, Ghada AlNemer, Ahmed M. Elshenhab
Jazyk:	angličtina
Rok vydání:	2023
Předmět:	Hilfer fractional derivative (HFD) stochastic evolution Equation (SEE) Sobolev-type system neutral system optimal controls (OC) hemivariational inequalities Thermodynamics QC310.15-319 Mathematics QA1-939 Analysis QA299.6-433
Zdroj:	Fractal and Fractional, Vol 7, Iss 4, p 303 (2023)
Druh dokumentu:	article
ISSN:	2504-3110
DOI:	10.3390/fractalfract7040303
Popis:	This article concentrates on a control system with a nonlocal condition that is driven by neutral stochastic evolution hemivariational inequalities (HVIs) of Sobolev-type Hilfer fractional (HF). In order to illustrate the necessary requirements for the existence of mild solutions to the required control system, we first use the characteristics of the modified Clarke sub-differential and a fixed point approach for multivalued functions. Then, we show that there are optimal state-control sets that are driven by Sobolev-type HF neutral stochastic evolution HVIs utilizing constrained Lagrange optimal systems. The optimal control (OC) results are created without taking the uniqueness of the control system solutions into account. Finally, the main finding is shown by an example.
Databáze:	Directory of Open Access Journals
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