Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay

DOI10.22436/JNSA.008.05.10zbMath1328.49017OpenAlexW2790458971MaRDI QIDQ3455289

Zuomao Yan, Fangxia Lu

Publication date: 4 December 2015

Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: http://www.tjnsa.com/includes/files/articles/Vol8_Iss5_557--577_Existence_of_an_optimal_control__fo.pdf

zbMATH Keywords

optimal controlinfinite delayfractional calculusfixed point theoremanalytic \(\alpha\)-resolvent operatorstochastic partial functional integro-differential equations

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Optimal stochastic control (93E20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Stochastic integral equations (60H20) Existence of optimal solutions to problems involving randomness (49J55) Existence theories for optimal control problems involving relations other than differential equations (49J21)

Related Items (11)

Optimal control problems for a neutral integro-differential system with infinite delay ⋮ On existence results for impulsive fractional neutral stochastic integro-differential equations with nonlocal and state-dependent delay conditions ⋮ Optimal controls problems for some impulsive stochastic integro-differential equations with state-dependent delay ⋮ Sufficient conditions for existence and uniqueness of fractional stochastic delay differential equations ⋮ Optimal control for semilinear integrodifferential evolution equations in Banach spaces ⋮ OPTIMAL CONTROLS FOR SOME IMPLUSIVE STOCHASTIC INTEGRODIFFERENTIAL EQUATIONS DRIVEN BY ROSENBLATT PROCESS E. KPIZIM, K. EZZINBI, V. VINODKUMAR AND M. A. DIOP ⋮ The Solvability and Fractional Optimal Control for Semilinear Stochastic Systems ⋮ A class of Hilfer fractional stochastic differential equations and optimal controls ⋮ Optimal controls for fractional stochastic functional differential equations of order \(\alpha \in (1, 2\)] ⋮ Optimal Solutions of Fractional Nonlinear Impulsive Neutral Stochastic Functional Integro-Differential Equations ⋮ Infinite delay fractional stochastic integro-differential equations with Poisson jumps of neutral type

This page was built for publication: Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay