Existence and regularity of mild solutions to fractional stochastic evolution equations

DOI10.1051/mmnp/2018004zbMath1405.60102OpenAlexW2790735511MaRDI QIDQ4615568

Bo Wang, Guang-an Zou

Publication date: 29 January 2019

Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1051/mmnp/2018004

zbMATH Keywords

numerical resultsmild solutionsfractional calculusstochastic diffusion equationsstochastic diffusion-wave equations

Mathematics Subject Classification ID

Nonlinear parabolic equations (35K55) Navier-Stokes equations (35Q30) Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (11)

Caratheodory's approximation for a type of Caputo fractional stochastic differential equations ⋮ On inverse initial value problems for the stochastic strongly damped wave equation ⋮ Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion ⋮ TERMINAL VALUE PROBLEM FOR STOCHASTIC FRACTIONAL EQUATION WITHIN AN OPERATOR WITH EXPONENTIAL KERNEL ⋮ Synchronization for fractional FitzHugh–Nagumo equations with fractional Brownian motion ⋮ Stochastic fractional diffusion equations containing finite and infinite delays with multiplicative noise ⋮ Classical solutions to the initial-boundary value problems for nonautonomous fractional diffusion equations ⋮ Galerkin finite element method for time-fractional stochastic diffusion equations ⋮ A Galerkin finite element method for time-fractional stochastic heat equation ⋮ A New Generalized Gronwall Inequality with a Double Singularity and Its Applications to Fractional Stochastic Differential Equations ⋮ A note concerning to approximate controllability of Atangana-Baleanu fractional neutral stochastic systems with infinite delay

Cites Work

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• Controllability for fractional evolution inclusions without compactness
• A survey on impulsive fractional differential equations
• Strong and weak approximation of semilinear stochastic evolution equations
• Chaos in a simple nonlinear system with Atangana-Baleanu derivatives with fractional order
• SPDE in Hilbert space with locally monotone coefficients
• A compact difference scheme for the fractional diffusion-wave equation
• Abstract fractional Cauchy problems with almost sectorial operators
• Numerical approximation of nonlinear fractional differential equations with subdiffusion and superdiffusion
• On the time-fractional Navier-Stokes equations
• Weak solutions of the time-fractional Navier-Stokes equations and optimal control
• Existence and multiplicity results of homoclinic solutions for fractional Hamiltonian systems
• On the new fractional derivative and application to nonlinear Fisher's reaction-diffusion equation
• 3D stochastic primitive equations of the large-scale ocean: Global well-posedness and attractors
• Second-order stable finite difference schemes for the time-fractional diffusion-wave equation
• Stochastic modelling of tumour-induced angiogenesis
• The fundamental solutions for the fractional diffusion-wave equation
• Wright functions as scale-invariant solutions of the diffusion-wave equation
• Invariant measures for Burgers equation with stochastic forcing
• Stochastic Burgers' equation with fractional derivative driven by multiplicative noise
• Attractivity for fractional differential equations in Banach space
• Center stable manifold for planar fractional damped equations
• An approximate solution for a fractional diffusion-wave equation using the decomposition method
• Impacts of noise on a class of partial differential equations
• Fractional time stochastic partial differential equations
• A concise course on stochastic partial differential equations
• Existence of nonoscillatory solutions for fractional neutral differential equations

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