Wellposedness and stability of fractional stochastic nonlinear heat equation in Hilbert space
DOI10.1007/s13540-022-00078-4zbMath1503.35246OpenAlexW4290724585WikidataQ113899207 ScholiaQ113899207MaRDI QIDQ2110573
Mahmoud M. El-Borai, Zineb Arab
Publication date: 21 December 2022
Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13540-022-00078-4
nonlinear heat equationfractional calculusfixed point theoremfractional Laplacianalmost surely exponential stability\(p^{th}\)-moment exponential stabilitytrace-class noise
Fractional derivatives and integrals (26A33) Heat equation (35K05) Applications of operator theory to differential and integral equations (47N20) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)
Cites Work
- Unnamed Item
- Unnamed Item
- Global stability for reaction-diffusion equations in biology
- Stability of the stochastic heat equation in \(L^{1}([0,1)\)]
- Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps
- Stability of solutions to a reaction diffusion system based upon chemical reaction kinetics
- Stability results for a class of differential equation and application in medicine
- On potentialized partial differential equations in theoretical spatial economics
- Asymptotic stability of some stochastic evolution equations.
- Controllability of nonlinear stochastic fractional neutral systems with multiple time varying delays in control
- Asymptotic stability of fractional stochastic neutral differential equations with infinite delays
- Fractional order stochastic differential equation with application in European option pricing
- Stochastic fractional differential equations: modeling, method and analysis
- On the solutions of nonlinear stochastic fractional partial differential equations in one spatial dimension
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Fractional kinetic equations: solutions and applications
- Ulam‐Hyers‐Rassias stability for generalized fractional differential equations
- Fractional stochastic Burgers‐type equation in Hölder space—Wellposedness and approximations
- Existence and stability results for Caputo fractional stochastic differential equations with Lévy noise
- Stochastic Equations in Infinite Dimensions
- Existence and stability for fractional parabolic integro-partial differential equations with fractional Brownian motion and nonlocal condition
- Galerkin Finite Element Methods for Parabolic Problems
- Stability of Infinite Dimensional Stochastic Differential Equations with Applications
- Stochastic models for fractional calculus
- The random walk's guide to anomalous diffusion: A fractional dynamics approach
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