On a fractional impulsive partial stochastic integro-differential equation with state-dependent delay and optimal controls

DOI10.1080/17442508.2016.1197927zbMath1354.34133OpenAlexW2510180957WikidataQ115295071 ScholiaQ115295071MaRDI QIDQ2833718

Zuomao Yan, Xiu-Mei Jia

Publication date: 25 November 2016

Published in: Stochastics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/17442508.2016.1197927

zbMATH Keywords

optimal controlsstate-dependent delaysolution operatorfractional integro-differential equationsimpulsive partial stochastic integro-differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Existence theories for problems in abstract spaces (49J27) Functional-differential equations with fractional derivatives (34K37)

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Optimal control of fractional reaction-diffusion equations with Poisson jumps ⋮ Local and global existence and uniqueness of solution and local well-posednesss for abstract fractional differential equations with state-dependent delay ⋮ Approximation methods for solving fractional equations ⋮ Pseudo almost periodic solutions to impulsive non-autonomous stochastic differential equations with unbounded delay and its optimal control ⋮ Optimal control of noninstantaneous impulsive differential equations ⋮ Existence of Optimal Mild Solutions and Controllability of Fractional Impulsive Stochastic Partial Integro‐Differential Equations with Infinite Delay ⋮ Infinite delay fractional stochastic integro-differential equations with Poisson jumps of neutral type

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