Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm (Q2072972)

scientific article; zbMATH DE number 7465151

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English	Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm	scientific article; zbMATH DE number 7465151

Statements

instance of

scholarly article

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title

Existence uniqueness of mild solutions for \(\psi \)-Caputo fractional stochastic evolution equations driven by fBm (English)

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author

Min Yang

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published in

Journal of Inequalities and Applications

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publication date

26 January 2022

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zbMATH Keywords

\(\psi\)-Caputo fractional derivative

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stochastic evolution equations

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noncompact measure

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fractional Brownian motion

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MaRDI profile type

Publication

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full work available at URL

https://doi.org/10.1186/s13660-021-02703-x

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cites work

Some generalized fractional calculus operators and their applications in integral equations

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A Caputo fractional derivative of a function with respect to another function

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Parts formulas involving the Fourier-Feynman transform associated with Gaussian paths on Wiener space

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Existence and exponential stability of a class of impulsive neutral stochastic partial differential equations with delays and Poisson jumps

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Cauchy problem for stochastic non-autonomous evolution equations governed by noncompact evolution families

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Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions

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Study on fractional non-autonomous evolution equations with delay

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A blowup alternative result for fractional nonautonomous evolution equation of Volterra type

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Approximate controllability of non-autonomous evolution system with nonlocal conditions

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Cauchy problem for fractional non-autonomous evolution equations

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Existence and exponential stability for impulsive neutral stochastic functional differential equations driven by fBm with noncompact semigroup via Mönch fixed point

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Existence results for impulsive delayed neutral stochastic functional differential equations with noncompact semigroup

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Generalized fractional derivatives and Laplace transform

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Q4282622

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Existence of solutions for fractional neutral functional differential equations driven by fBm with infinite delay

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Stochastic delay fractional evolution equations driven by fractional Brownian motion

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The existence and asymptotic behavior of solutions to fractional stochastic evolution equations with infinite delay

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Sub-critical and critical stochastic quasi-geostrophic equations with infinite delay

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Neutral stochastic differential equations driven by a fractional Brownian motion with impulsive effects and varying-time delays

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Q3141895

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Existence uniqueness and stability of mild solutions for semilinear \(\psi\)-Caputo fractional evolution equations

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Abstract fractional Cauchy problems with almost sectorial operators

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Optimal Solutions of Fractional Nonlinear Impulsive Neutral Stochastic Functional Integro-Differential Equations

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Attractivity for Hilfer fractional stochastic evolution equations

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Riemann-Liouville fractional stochastic evolution equations driven by both Wiener process and fractional Brownian motion

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Dynamics and invariant measures of multi-stochastic sine-Gordon lattices with random viscosity and nonlinear noise

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Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups

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Fractional stochastic evolution equations with nonlocal initial conditions and noncompact semigroups

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Basic Theory of Fractional Differential Equations

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Stochastic Navier-Stokes equations with Caputo derivative driven by fractional noises

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Identifiers

zbMATH Open document ID

1504.35629

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Mathematics Subject Classification ID

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10.1186/S13660-021-02703-X

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Sitelinks

Mathematics(1 entry)

mardi Publication:2072972