Optimal Solutions of Fractional Nonlinear Impulsive Neutral Stochastic Functional Integro-Differential Equations

DOI10.1080/01630563.2018.1501060zbMath1425.34092OpenAlexW2954303958MaRDI QIDQ5197957

Zuomao Yan, Xiu-Mei Jia

Publication date: 2 October 2019

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2018.1501060

zbMATH Keywords

fixed pointoptimal solutionsinfinite delayanalytic \(\alpha\)-resolvent operatorfractional impulsive neutral stochastic functional integro-differential equations

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Functional-differential equations in abstract spaces (34K30) Stochastic functional-differential equations (34K50) Neutral functional-differential equations (34K40) Applications of operator theory to differential and integral equations (47N20) Functional-differential equations with fractional derivatives (34K37)

Related Items (2)

Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm ⋮ Some results on finite-time stability of stochastic fractional-order delay differential equations

Cites Work

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• Sobolev type fractional abstract evolution equations with nonlocal conditions and optimal multi-controls
• Approximate controllability of nonlinear fractional dynamical systems
• Approximate controllability of fractional order semilinear systems with bounded delay
• Weighted pseudo almost automorphic classical solutions and optimal mild solutions for fractional differential equations and application in fractional reaction-diffusion equations
• Existence of solutions and approximate controllability of impulsive fractional stochastic differential systems with infinite delay and Poisson jumps.
• The solvability and optimal controls of impulsive fractional semilinear differential equations
• Optimal mild solutions and weighted pseudo-almost periodic classical solutions of fractional integro-differential equations
• Existence, uniqueness and stability of mild solutions for time-dependent stochastic evolution equations with Poisson jumps and infinite delay
• Existence results for an impulsive fractional integro-differential equation with state-dependent delay
• Approximate controllability of impulsive neutral stochastic differential equations with fractional Brownian motion in a Hilbert space
• Periodic boundary value problems for nonlinear impulsive evolution equations on Banach spaces
• Existence results for impulsive neutral stochastic functional integro-differential equations with infinite delays
• Asymptotic stability of impulsive stochastic partial differential equations with infinite delays
• Semigroups of linear operators and applications to partial differential equations
• Nonlinear impulse evolution systems and applications to population models
• Some probability densities and fundamental solutions of fractional evolution equations
• On fractional neutral integro-differential systems with state-dependent delay and non-instantaneous impulses
• Existence of solutions for nonlinear fractional stochastic differential equations
• Existence of solutions for impulsive partial stochastic neutral integrodifferential equations with state-dependent delay
• Approximate controllability of fractional impulsive neutral stochastic differential equations with nonlocal conditions
• Existence and uniqueness of mild solution for an impulsive neutral fractional integro-differential equation with infinite delay
• Sobolev type fractional dynamic equations and optimal multi-integral controls with fractional nonlocal conditions
• Existence results of mild solutions for impulsive fractional integro-differential evolution equations with infinite delay
• Stochastic neutral evolution equations on Hilbert spaces with partially observed relaxed control and their necessary conditions of optimality
• Existence of solutions for semi-linear abstract differential equations with not instantaneous impulses
• On a new class of abstract impulsive functional differential equations of fractional order
• Optimal control problem for stochastic evolution equations in Hilbert spaces
• Existence of an optimal control for fractional stochastic partial neutral integro-differential equations with infinite delay
• Existence results for fractional functional integrodifferential equations with nonlocal conditions in Banach spaces
• Necessary and sufficient conditions for L1-strong- weak lower semicontinuity of integral functionals
• On optimal mild solutions of non-homogeneous differential equations in Banach spaces
• On a new class of abstract impulsive differential equations
• EXISTENCE RESULTS FOR A NEW CLASS OF FRACTIONAL IMPULSIVE PARTIAL NEUTRAL STOCHASTIC INTEGRO-DIFFERENTIAL EQUATIONS WITH INFINITE DELAY
• Approximate Controllability of Impulsive Fractional Integro-Differential Systems with Nonlocal Conditions in Hilbert Space
• Nonlinear impulsive integro-differential equations of mixed type and optimal controls
• Stochastic Equations in Infinite Dimensions

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