Existence and optimal controls for fractional stochastic evolution equations of Sobolev type via fractional resolvent operators

DOI10.1007/s10957-018-1314-5zbMath1422.34023OpenAlexW2804053717MaRDI QIDQ2317843

Yatian Pei, Yong-Kui Chang, Rodrigo Ponce

Publication date: 13 August 2019

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-1314-5

zbMATH Keywords

resolvent operatoroptimal controlsfeasible pairsfractional stochastic evolution equations of Sobolev type

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Optimal stochastic control (93E20) Ordinary differential equations and systems with randomness (34F05) Optimality conditions for problems involving ordinary differential equations (49K15) Fractional ordinary differential equations (34A08)

Related Items (12)

Explicit iteration to a nonlinear fractional Langevin equation with non-separated integro-differential strip-multi-point boundary conditions ⋮ Controllability of fractional evolution systems of Sobolev type via resolvent operators ⋮ Existence and optimal controls of non-autonomous impulsive integro-differential evolution equation with nonlocal conditions ⋮ Existence and optimal controls for nonlocal fractional evolution equations of order (1,2) in Banach spaces ⋮ Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1,2) ⋮ Optimal controls for fractional stochastic differential systems driven by Rosenblatt process with impulses ⋮ Optimal Control Results for Sobolev-Type Fractional Stochastic Volterra-Fredholm Integrodifferential Systems of Order ϑ ∈ (1, 2) via Sectorial Operators ⋮ Existence and optimal controls of non-autonomous for impulsive evolution equation without Lipschitz assumption ⋮ Optimal control for a class of fractional order neutral evolution equations ⋮ Maximum principle for the space-time fractional conformable differential system involving the fractional Laplace operator ⋮ Hilfer fractional evolution hemivariational inequalities with nonlocal initial conditions and optimal controls ⋮ Existence and optimal controls for Hilfer fractional Sobolev-type stochastic evolution equations

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