Applications of integral transforms in fractional diffusion processes

Details Applications of integral transforms in fractional diffusion processes Applications of integral transforms in fractional diffusion processes

2007-09-30

arxiv.org/abs/0710.0145v1

Integral Transforms and Special Functions, Vol 15, No 6, pp. 477-484 (2004)

Mathematics

Probability

11 Pages. Paper with added notes based on an invited lecture: 3rd International ISAAC Congress, Free University of Berlin, 20-

Scientific paper

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 allows us to obtain a suitable computational form of the Green function in the space-time domain and to analyse its probability interpretation.

Affiliated with

Also associated with

No associations

Rating

Applications of integral transforms in fractional diffusion processes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Applications of integral transforms in fractional diffusion processes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Applications of integral transforms in fractional diffusion processes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-721833