Hilfer fractional neutral stochastic integro‐differential evolution hemivariational inequalities and optimal controls

DOI10.1002/mma.9625OpenAlexW4386068664MaRDI QIDQ6152736

Venkatesan Muthukumaran, Udhayakumar Ramalingam, S. Sivasankar

Publication date: 12 March 2024

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.9625

zbMATH Keywords

nonlocal problemneutral systemhemivariational inequalities (HVIs)Hilfer fractional derivative (HFD)optimal controls (OC)stochastic evolution equation (SEE)

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Optimal stochastic control (93E20) Existence theories for optimal control problems involving partial differential equations (49J20) Fractional ordinary differential equations (34A08)

Cites Work

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• Existence of mild solution for evolution equation with Hilfer fractional derivative
• Approximate controllability of fractional stochastic evolution equations
• Nonlinear inclusions and hemivariational inequalities. Models and analysis of contact problems
• Approximate controllability for a class of hemivariational inequalities
• Existence and controllability results for stochastic fractional evolution hemivariational inequalities
• Basic theory of fractional differential equations
• Existence of mild solutions for fractional neutral evolution equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Semigroups of linear operators and applications to partial differential equations
• Non-convex superpotentials in the sense of F. H. Clarke and applications
• A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
• Optimal control of second order stochastic evolution hemivariational inequalities with Poisson jumps
• Hilfer fractional stochastic integro-differential equations
• Existence of mild solutions for a class of Hilfer fractional evolution equations with nonlocal conditions
• Optimal control problem for stochastic evolution equations in Hilbert spaces
• Quasi-Static Hemivariational Inequality via Vanishing Acceleration Approach
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
• Optimal feedback control problems driven by fractional evolution hemivariational inequalities
• Basic Theory of Fractional Differential Equations
• Solvability and optimal controls for semilinear fractional evolution hemivariational inequalities