Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm
DOI10.1186/s13660-021-02703-xzbMath1504.35629OpenAlexW3205644214MaRDI QIDQ2072972
Publication date: 26 January 2022
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-021-02703-x
fractional Brownian motionstochastic evolution equationsnoncompact measure\(\psi\)-Caputo fractional derivative
Fractional processes, including fractional Brownian motion (60G22) Fractional derivatives and integrals (26A33) Applications of operator theory to differential and integral equations (47N20) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Fractional partial differential equations (35R11)
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- Neutral stochastic differential equations driven by a fractional Brownian motion with impulsive effects and varying-time delays
- Abstract fractional Cauchy problems with almost sectorial operators
- Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps
- Existence of mild solutions for fractional neutral evolution equations
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point
- A blowup alternative result for fractional nonautonomous evolution equation of Volterra type
- Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises
- The existence and asymptotic behavior of solutions to fractional stochastic evolution equations with infinite delay
- A Caputo fractional derivative of a function with respect to another function
- Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families
- Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions
- Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay
- Existence uniqueness and stability of mild solutions for semilinear \(\psi\)-Caputo fractional evolution equations
- Attractivity for Hilfer fractional stochastic evolution equations
- Riemann-Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion
- Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space
- Cauchy problem for fractional non-autonomous evolution equations
- Existence and approximate controllability of fractional evolution equations with nonlocal conditions via resolvent operators
- Generalized fractional derivatives and Laplace transform
- Approximate controllability of non-autonomous evolution system with nonlocal conditions
- Some generalized fractional calculus operators and their applications in integral equations
- Study on fractional non-autonomous evolution equations with delay
- Theorem about the existence and uniqueness of a solution of a nonlocal abstract cauchy problem in a banach space
- Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups
- Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise
- Existence of solutions for fractional neutral functional differential equations driven by fBm with infinite delay
- Fractional stochastic evolution equations with nonlocal initial conditions and noncompact semigroups
- Existence results for impulsive delayed neutral stochastic functional differential equations with noncompact semigroup
- Optimal Solutions of Fractional Nonlinear Impulsive Neutral Stochastic Functional Integro-Differential Equations
- Stochastic delay fractional evolution equations driven by fractional Brownian motion
- Basic Theory of Fractional Differential Equations
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