Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities

V. Vijayakumar; R. Udhayakumar; Sumati Kumari Panda; Kottakkaran Sooppy Nisar

doi:10.1002/num.22690

Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities

V. Vijayakumar
, R. Udhayakumar
, Sumati Kumari Panda
, Kottakkaran Sooppy Nisar

Mathematics

Research output: Contribution to journal › Article › peer-review

18 Scopus citations

Abstract

In our article, we primarily concentrate on the approximate controllability results for Sobolev type fractional stochastic evolution hemivariational inequalities. By applying the facts related to fractional calculus, and fixed-point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.

Original language	English
Article number	e22690
Journal	Numerical Methods for Partial Differential Equations
Volume	40
Issue number	1
DOIs	https://doi.org/10.1002/num.22690
State	Published - Jan 2024

Keywords

approximate controllability
hemivariational inequalities
nonlocal conditions
Sobolev type of fractional stochastic evolution inclusions

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10.1002/num.22690

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title = "Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities",

abstract = "In our article, we primarily concentrate on the approximate controllability results for Sobolev type fractional stochastic evolution hemivariational inequalities. By applying the facts related to fractional calculus, and fixed-point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.",

keywords = "approximate controllability, hemivariational inequalities, nonlocal conditions, Sobolev type of fractional stochastic evolution inclusions",

author = "V. Vijayakumar and R. Udhayakumar and Panda, \{Sumati Kumari\} and Nisar, \{Kottakkaran Sooppy\}",

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AU - Panda, Sumati Kumari

AU - Nisar, Kottakkaran Sooppy

PY - 2024/1

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N2 - In our article, we primarily concentrate on the approximate controllability results for Sobolev type fractional stochastic evolution hemivariational inequalities. By applying the facts related to fractional calculus, and fixed-point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.

AB - In our article, we primarily concentrate on the approximate controllability results for Sobolev type fractional stochastic evolution hemivariational inequalities. By applying the facts related to fractional calculus, and fixed-point technique, the principal results are proved. Initially, we are concentrating the existence and continue to prove the controllability of the fractional evolution system. In the end, we present an example to demonstrate the theory.

KW - approximate controllability

KW - hemivariational inequalities

KW - nonlocal conditions

KW - Sobolev type of fractional stochastic evolution inclusions

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Results on approximate controllability of Sobolev type fractional stochastic evolution hemivariational inequalities

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Keywords

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