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23.845  Articles
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Hermite processes are self-similar processes with stationary increments, the Hermite process of order 1 is fractional Brownian motion and the Hermite process of order 2 is the Rosenblatt process. In this paper we consider a class of time-dependent neutral... see more

In this paper, we study the relative approximate controllability of nonlinear fractional stochastic evolution equations with time delays and nonlocal conditions, in Hilbert space, via new fixed point analysis approach. An example is provided to show the a... see more

We provide an Effective Potential Formulation for non-coupled (i.e. independent) Stochastic Partial Differential Equations with additive noise using the Hojman et al. method for writing the associated Lagrangean function. We show that this Potential is ab... see more


This work considers dynamics of non-equilibrium long wave fluctuations in systems of particles interacting with multiplying and capturing media, generated by external stochastic field. General dynamic equations for long wave fluctuations are obtained usin... see more

In this paper we study the controllability results of impulsive neutral stochastic functional integrodifferential equations with infinite delay driven by fractional Brownian motion in a real separable Hilbert space. The controllability resu... see more

We discuss a class of mathematical models of biological systems at microscopic level - i.e. at the level of interacting individuals of a population. The class leads to partially integral stochastic semigroups- [5]. We state general conditions guaranteeing... see more

The time evolution of stochastic reaction networks can be modeled with the chemical master equation of the probability distribution. Alternatively, the numerical problem can be reformulated in terms of probability moment equations. Herein we present a new... see more

The purpose of this paper is to establish a new result, which guarantees the asymptotic stability and boundedness of the zero solution and the square integrability of solutions and their derivatives to neutral type nonlinear differential equations of four... see more

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