A New Approach on the Approximate Controllability Results for Hilfer Fractional Stochastic Hemivariational Inequalities of Order 1<μ<2

In this paper, we investigate the approximate controllability for Hilfer fractional stochastic hemivariational inequalities of order 1 < μ < 2 in Hilbert spaces. Initially, we define the concept of a mild solution for our problem in terms of fractional calculus, cosine families, stochastic ana...

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Bibliographic Details
Published in:Qualitative theory of dynamical systems 2024-09, Vol.23 (4), Article 158
Main Authors: Pradeesh, J., Vijayakumar, V.
Format: Article
Language:English
Subjects:
Controllability
Difference and Functional Equations
Dynamical Systems and Ergodic Theory
Fixed points (mathematics)
Fractional calculus
Hilbert space
Inequalities
Mathematics
Mathematics and Statistics
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Summary:In this paper, we investigate the approximate controllability for Hilfer fractional stochastic hemivariational inequalities of order 1 < μ < 2 in Hilbert spaces. Initially, we define the concept of a mild solution for our problem in terms of fractional calculus, cosine families, stochastic analysis, and generalized Clarke subdifferential. Then, the existence and approximate controllability for Hilfer fractional stochastic evolution hemivariational inequalities are formulated and proven under appropriate conditions using fixed point theorems for multivalued maps. Finally, an example is presented to illustrate the theory.
ISSN:1575-5460
1662-3592
DOI:10.1007/s12346-024-01012-0