Approximate mild solutions of fractional stochastic evolution equations in Hilbert spaces
From MaRDI portal
Publication:299624
DOI10.1016/j.amc.2014.12.155zbMath1338.93084OpenAlexW2069631743MaRDI QIDQ299624
Publication date: 22 June 2016
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2014.12.155
Controllability (93B05) Control problems for functional-differential equations (34K35) Functional-differential equations with fractional derivatives (34K37)
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Cites Work
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- Approximate controllability of fractional differential equations with state-dependent delay
- Approximate controllability of fractional stochastic evolution equations
- Analysis of nonlinear fractional control systems in Banach spaces
- Nonlocal Cauchy problem for fractional evolution equations
- Existence of pseudo almost automorphic mild solutions to stochastic fractional differential equations
- Existence and uniqueness for \(p\)-type fractional neutral differential equations
- Existence and uniqueness for fractional neutral differential equations with infinite delay
- Existence of mild solutions of some semilinear neutral fractional functional evolution equations with infinite delay
- Existence of mild solutions for fractional neutral evolution equations
- Existence of positive solutions of the boundary value problem for nonlinear fractional differential equations
- On positive solutions of a nonlocal fractional boundary value problem
- Successive approximations to solutions of stochastic differential equations
- Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
- Existence of almost automorphic mild solutions to non-autonomous neutral stochastic differential equations
- Existence of positive solution for some class of nonlinear fractional differential equations
- Existence of solutions for nonlinear fractional stochastic differential equations
- Exponential stability of second-order stochastic evolution equations with Poisson jumps
- Stochastic evolution equations with a spatially homogeneous Wiener process
- On the approximate controllability of fractional evolution equations with compact analytic semigroup
- On the solvability and optimal controls of fractional integrodifferential evolution systems with infinite delay
- Existence of mild solutions for fractional evolution equations
- Abstract Cauchy problem for fractional functional differential equations
- Existence results for fractional order functional differential equations with infinite delay
- Successive approximation of infinite dimensional semilinear backward stochastic evolution equations with jumps
- Approximate controllability of fractional nonlocal delay semilinear systems in Hilbert spaces
- Approximate controllability of stochastic differential systems driven by a Lévy process
- Stochastic Differential Equations in Infinite Dimensions
- Remarks on the existence and approximation for semilinear stochastic differential equations in Hilbert spaces
- Approximations to mild solutions of stochastic semilinear equations with non-Lipschitz coefficients
- Stochastic Control on Hilbert Space for Linear Evolution Equations with Random Operator-Valued Coefficients
- Stability of Mild Solutions of Stochastic Evolution Equations with Variable Delay
- Semilinear stochastic evolution equations with monotone nonlinearities
- Basic Theory of Fractional Differential Equations
- Stochastic Differential Equations with Non-Lipschitz Coefficients in Hilbert Spaces
- Stability of Infinite Dimensional Stochastic Differential Equations with Applications
- Approximate controllability of partial neutral functional differential systems of fractional order with state-dependent delay
- Controllability of linear stochastic systems in Hilbert spaces
- Stochastic Equations in Infinite Dimensions
