On a stochastic fractional partial differential equation driven by a Lévy space-time white noise

DOI10.1016/j.jmaa.2009.11.010zbMath1185.60071OpenAlexW1964178449WikidataQ115346201 ScholiaQ115346201MaRDI QIDQ847057

Yong Jin Wang, Ke Hua Shi

Publication date: 12 February 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2009.11.010

zbMATH Keywords

fractional differential operatorLévy space-time white noiseflow property

Mathematics Subject Classification ID

Stochastic partial differential equations (aspects of stochastic analysis) (60H15)

Related Items (13)

Strong convergence of a Euler-Maruyama scheme to a variable-order fractional stochastic differential equation driven by a multiplicative white noise ⋮ Analysis and Numerical Approximation for a Nonlinear Hidden-Memory Variable-Order Fractional Stochastic Differential Equation ⋮ Positive solutions of singular Caputo fractional differential equations with integral boundary conditions ⋮ On a jump-type stochastic fractional partial differential equation with fractional noises ⋮ On a fractional SPDE driven by fractional noise and a pure jump Lévy noise in \(\mathbb{R}^d\) ⋮ Martingale and weak solutions for a stochastic nonlocal Burgers equation on finite intervals ⋮ On a stochastic fractional partial differential equation with a fractional noise ⋮ Mixed fractional heat equation driven by fractional Brownian sheet and Lévy process ⋮ Initial value problems for fractional differential equations involving Riemann-Liouville sequential fractional derivative ⋮ Moment stability of fractional stochastic evolution equations with Poisson jumps ⋮ Impulsive periodic boundary value problems for fractional differential equation involving Riemann-Liouville sequential fractional derivative ⋮ Time fractional stochastic differential equations driven by pure jump Lévy noise ⋮ Monotone iterative technique for boundary value problems of a nonlinear fractional differential equation with deviating arguments

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