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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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Showing 2014Show all

7 papers · 1 filter

math.AP2014★ 1 cited

On the global well-posedness of a generalized 2D Boussinesq equations

Junxiong Jia, Jigen Peng, Kexue Li

In this paper, we consider the global solutions to a generalized 2D Boussinesq equation \begin{align*} \left \{\begin{aligned} & \partial_{t} ω+ u\cdot \nabla ω+ νΛ^α ω= θ_{x_{1}}…

math.AP2014

On the Decay and Stability of Global Solutions to the 3D Inhomogeneous MHD system

Junxiong Jia, Jigen Peng, Kexue Li

In this paper, we investigative the large time decay and stability to any given global smooth solutions of the D incompressible inhomogeneous MHD systems. We proved that given a…

math.AP2014

Well-Posedness and Optimal Time-Decay for Compressible MHD System in Besov Space

Junxiong Jia, Jigen Peng, Kexue Li

In this paper, firstly, we prove the global well-posedness of three dimensional compressible magnetohydrodynamics equations for some classes of large initial data, which may have l…

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.FA2014

Fractional order semilinear Volterra integrodifferential equations in Banach spaces

Kexue Li

In this paper, sufficient conditions are established for the existence results of fractional order semilinear Volterra integrodifferential equations in Banach spaces. The results a…

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…