Approximate controllability for a class of fractional stochastic wave equations
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Publication:2203207
DOI10.1016/j.camwa.2019.01.012zbMath1442.93007OpenAlexW2912046659MaRDI QIDQ2203207
Publication date: 5 October 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2019.01.012
approximate controllabilitymild solutionsspecial functionsfractional derivativestochastic wave equations
Controllability (93B05) Stochastic systems in control theory (general) (93E03) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)
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Cites Work
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- On the interior approximate controllability for fractional wave equations
- Approximate controllability of fractional stochastic evolution equations
- Space-time fractional stochastic partial differential equations
- On existence and uniqueness of solutions for semilinear fractional wave equations
- Abstract fractional Cauchy problems with almost sectorial operators
- Existence and regularity of solutions to time-fractional diffusion equations
- Weak solutions of the time-fractional Navier-Stokes equations and optimal control
- Approximate controllability of Riemann-Liouville fractional differential inclusions
- Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
- Controllability of stochastic semilinear functional differential equations in Hilbert spaces.
- Mellin integral transform approach to analyze the multidimensional diffusion-wave equations
- The Cauchy problem for fractional Navier-Stokes equations in Sobolev spaces
- A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
- Subordination approach to multi-term time-fractional diffusion-wave equations
- Semigroups of operators, cosine operator functions, and linear differential equations
- A Galerkin finite element method for time-fractional stochastic heat equation
- Well-posedness results for a class of semi-linear super-diffusive equations
- Approximate controllability of stochastic differential systems driven by a Lévy process
- Vector-valued Laplace Transforms and Cauchy Problems
- Cosine families and abstract nonlinear second order differential equations
- On controllability of linear stochastic systems
- A class of time‐fractional reaction‐diffusion equation with nonlocal boundary condition
- Galerkin Finite Element Approximations for Stochastic Space-Time Fractional Wave Equations
- Existence and hölder continuity of solutions for time‐fractional Navier‐Stokes equations
- Duhamel's formula for time‐fractional Schrödinger equations
- Basic Theory of Fractional Differential Equations
- Stochastic Equations in Infinite Dimensions
