نتایج جستجو برای: fractional probability space

تعداد نتایج: 748527  

In this article a modification of the Chebyshev collocation method is applied to the solution of space fractional differential equations.The fractional derivative is considered in the Caputo sense.The finite difference scheme and Chebyshev collocation method are used .The numerical results obtained by this way have been compared with other methods.The results show the reliability and efficiency...

2007
Rudolf GORENFLO

A physical-mathematical approach to anomalous diffusion may be based on generalized diffusion equations (containing derivatives of fractional order in space or/and time) and related random walk models. By the space-time fractional diffusion equation we mean an evolution equation obtained from the standard linear diffusion equation by replacing the second-order space derivative with a Riesz-Fell...

2007
FRANCESCO MAINARDI

The fundamental solution (Green function) for the Cauchy problem of the space-time fractional diffusion equation is investigated with respect to its scaling and similarity properties, starting from its Fourier-Laplace representation. Then, by using the Mellin transform, a general representation of the Green function in terms of Mellin-Barnes integrals in the complex plane is derived. This allow...

2004
T. KOMOROWSKI

Here u= (u1, . . . , ud) :R d ×Ω→ Rd is the Eulerian velocity field of the flow. It is assumed to be a stationary, d-dimensional random vector field given over a certain probability space (Ω,V,P), and w(·) is a standard d-dimensional Brownian motion defined over another probability space (Σ,A,Q). Parameter κ, called the molecular diffusivity of the medium, is assumed to be nonnegative. The resu...

Journal: :Bulletin of the American Mathematical Society 1947

2001
Youjian Liu

We propose a method to calculate the outage probability of systems with multiple transmit antennas in frequency selective fading channels, where the multipaths may arrive at a fractional of symbol period. The design criteria of space-time codes in such channels are also briefly discussed.

In this paper, a new fractional sub-equation method is proposed for finding exact solutions of fractional partial differential equations (FPDEs) in the sense of modified Riemann-Liouville derivative. With the aid of symbolic computation, we choose the space-time fractional Zakharov-Kuznetsov-Benjamin-Bona-Mahony (ZKBBM) equation in mathematical physics with a source to illustrate the validity a...

Journal: :International Journal of Mathematics and Mathematical Sciences 1993

Journal: :Philosophical transactions. Series A, Mathematical, physical, and engineering sciences 2013
Qiang Yu Fawang Liu Ian Turner Kevin Burrage

Fractional-order dynamics in physics, particularly when applied to diffusion, leads to an extension of the concept of Brownian motion through a generalization of the Gaussian probability function to what is termed anomalous diffusion. As magnetic resonance imaging is applied with increasing temporal and spatial resolution, the spin dynamics is being examined more closely; such examinations exte...

Journal: :computational methods for differential equations 0
ahmet bekir eskisehir osmangazi university, art-science faculty, department of mathematics-computer ozkan guner dumlupınar university

in this paper, exp-function and (g′/g)expansion methods are presented to derive traveling wave solutions for a class of nonlinear space-time fractional differential equations. as a results, some new exact traveling wave solutions are obtained.

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