نتایج جستجو برای: fractional probability space

تعداد نتایج: 748527  

Journal: :Proceedings. Mathematical, physical, and engineering sciences 2015
T M Atanackovic M Janev Lj Oparnica S Pilipovic D Zorica

The space-time fractional Zener wave equation, describing viscoelastic materials obeying the time-fractional Zener model and the space-fractional strain measure, is derived and analysed. This model includes waves with finite speed, as well as non-propagating disturbances. The existence and the uniqueness of the solution to the generalized Cauchy problem are proved. Special cases are investigate...

Journal: :iranian journal of science and technology (sciences) 2014
z. avazzadeh

in this work, we apply the radial basis functions for solving the time fractional diffusion-wave equation defined by caputo sense for                         . the problem is discretized in the time direction based on finite difference scheme and is continuously approximated by using the radial basis functions in the space direction which achieves the semi-discrete solution. numerical results s...

2014
Xingchu Gong Huali Chen Teng Chen Haibin Qu

Quality by design (QbD) concept is a paradigm for the improvement of botanical injection quality control. In this work, water precipitation process for the manufacturing of Xueshuantong injection, a botanical injection made from Notoginseng Radix et Rhizoma, was optimized using a design space approach as a sample. Saponin recovery and total saponin purity (TSP) in supernatant were identified as...

2011
Tijana Levajković Dora Seleši Stevan Pilipović

We solve stochastic differential equations involving the Malliavin derivative and the fractional Malliavin derivative by means of a chaos expansion on a general white noise space (Gaussian, Poissonian, fractional Gaussian and fractional Poissonian white noise space). There exist unitary mappings between the Gaussian and Poissonian white noise spaces, which can be applied in solving SDEs.

Journal: :bulletin of the iranian mathematical society 0
y‎. ‎y‎. zhang lmib & school of mathematics and systems science‎, ‎beihang university‎, ‎beijing‎, ‎100191‎, ‎china. y‎. ‎y‎. zhang lmib & school of mathematics and systems science‎, ‎beihang university‎, ‎beijing‎, ‎100191‎, ‎china. y‎. ‎y‎. zhang lmib & school of mathematics and systems science‎, ‎beihang university‎, ‎beijing‎, ‎100191‎, ‎china.

in this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional brownian motion in a hilbert space. we establish the existence and uniqueness of mild solutions for these equations under non-lipschitz conditions with lipschitz conditions being considered as a special case. an example is provided to illustrate the theory

Journal: :Journal of Applied Probability 2009

Journal: :Progress In Electromagnetics Research 2011

2008
G Oshanin

Abstract. We study the long-time asymptotics of the probability Pt that the Riemann-Liouville fractional Brownian motion with Hurst index H does not escape from a fixed interval [−L, L] up to time t. We show that for any H ∈]0, 1], for both subdiffusion and superdiffusion regimes, this probability obeys ln(Pt) ∼ −t2H/L2, i.e. may decay slower than exponential (subdiffusion) or faster than expon...

In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory

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