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20142026
most citedStochastic delay fractional evolution equations driven by fractional Brownian motion

39 citations · 44 across the 18 of their papers we have counts for

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6 papers · 1 filter

math.PR2016

Hlder continuity for stochastic fractional heat equation with colored noise

Kexue Li

In this paper, we consider semilinear stochastic fractional heat equation . The Gaussian noise $η_…

math.PR2016

Effects of the noise level on stochastic fractional heat equations

Kexue Li

We consider the stochastic fractional heat equation on with Dirichlet boundary conditions, where denotes the space-t…

math.PR2016★ 2 cited

Explosive solutions of parabolic stochastic partial differential equations with Lvy noise

Kexue Li, Jigen Peng, Junxiong Jia

In this paper, we study the explosive solutions to a class of parbolic stochastic semilinear differential equations driven by a L$\acute{\mbox{e}}$vy type noise. The sufficient con…

math.PR2014

Square-mean weighted pseudo almost automorphic solutions for stochastic semilinear integral equations

Kexue Li, Jigen Peng

In this paper, we introduce the concept of -weighted pseudo almost automorphy for stochastic processes. We study the existence and uniqueness of square-mean weighted pseudo…

math.PR2014★ 39 cited

Stochastic delay fractional evolution equations driven by fractional Brownian motion

Kexue Li

In this paper, we consider a class of stochastic delay fractional evolution equations driven by fractional Brownian motion in a Hilbert space. Sufficient conditions for the existen…

math.PR2014

Square-mean weighted pseudo almost automorphic solutions for nonautonomous stochastic differential equations driven by Levy noise

Kexue Li

In this paper, we introduce the concepts of Poisson square-mean almost automorphy and Poisson square-mean weighted pseudo almost automorphy. Using the theory of evolution family an…