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Existence of Asymptotically Almost Automorphic Mild Solutions of Semilinear Fractional Differential Equations

This paper is concerned with the existence of asymptotically almost automorphic mild solutions to a class of abstract semilinear fractional differential equations where , is a linear densely defined operator of sectorial type on a complex Banach space and is a bounded linear operator defined on , is an appropriate function defined on phase space, and the fractional derivative is...

Dynamics of Stochastic Coral Reefs Model with Multiplicative Nonlinear Noise

, China Received 26 February 2016; Accepted 16 May 2016 Academic Editor: Elmetwally Elabbasy Copyright © 2016 Zaitang Huang. This is an open access article distributed under the Creative Commons

Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps

Copyright © 2013 ZaiTang Huang and ChunTao Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in

Asymptotic Behavior of the Stochastic Rayleigh-van der Pol Equations with Jumps

Copyright © 2013 ZaiTang Huang and ChunTao Chen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in

Random attractions and bifurcation for the classical Rayleigh–van der Pol equations with small noise

ZaiTang Huang 0 ChunTao Chen 0 0 C. Chen College of Mathematics and Information Science, Guangxi University , Nanning 530001, People's Republic of China In this paper, a classical Rayleigh-van der

Dynamics of stochastic Lorenz family of chaotic systems with jump

Zaitang Huang 0 Junfei Cao 0 Ting Jiang 0 0 J. Cao Department of Mathematics, Guangdong University of Education , Guangzhou 510310, People's Republic of China This paper discusses the Lorenz family

Existence and Uniqueness of Solution for a Class of Stochastic Differential Equations

A class of stochastic differential equations given by ,  ,  , are investigated. Upon making some suitable assumptions, the existence and uniqueness of solution for the equations are obtained. Moreover, the existence and uniqueness of solution for stochastic Lorenz system, which is illustrated by example, are in good agreement with the theoretical analysis.