Existence and controllability of fractional-order impulsive stochastic system with infinite delay

DOI10.7151/DMDICO.1144zbMath1298.34151OpenAlexW4244466383MaRDI QIDQ2866514

Toufik Guendouzi

Publication date: 13 December 2013

Published in: Discussiones Mathematicae. Differential Inclusions, Control and Optimization (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/5f6924327cec3b241d28c34cc21ae0988f6d7677

zbMATH Keywords

approximate controllabilityinfinite delayresolvent operatorsexistence resultfractional stochastic differential equations

Mathematics Subject Classification ID

Controllability (93B05) Functional-differential equations with impulses (34K45) Functional-differential equations in abstract spaces (34K30) White noise theory (60H40) Stochastic functional-differential equations (34K50) Control problems for functional-differential equations (34K35) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)

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Approximate controllability of semilinear fractional stochastic dynamic systems with nonlocal conditions in Hilbert spaces ⋮ Approximate controllability for a semilinear stochastic evolution system with infinite delay in \(L_p\) space ⋮ Solvability and optimal controls of non-instantaneous impulsive stochastic fractional differential equation of order q ∈ (1,2) ⋮ Existence of mild solutions for impulsive fractional stochastic differential inclusions with state-dependent delay ⋮ Controllability of fractional impulsive neutral stochastic functional differential equations via Kuratowski measure of noncompactness ⋮ Approximate controllability of fractional neutral stochastic functional integro-differential inclusions with infinite delay ⋮ Approximate controllability of Sobolev-type fractional functional stochastic integro-differential systems ⋮ Approximate controllability of fractional neutral stochastic evolution equations with nonlocal conditions ⋮ Approximate controllability for a semilinear evolution system with infinite delay ⋮ Robust finite-time stability of fractional order linear time-varying impulsive systems

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