Probability distributions generated by fractional diffusion equations

Details Probability distributions generated by fractional diffusion equations Probability distributions generated by fractional diffusion equations

2007-04-03

arxiv.org/abs/0704.0320v1

Physics

Condensed Matter

Statistical Mechanics

46 pages, 3 figures. International Workshop on Econophysics, Budapest, July 21-27, 1997.

Scientific paper

Fractional calculus allows one to generalize the linear, one-dimensional, diffusion equation by replacing either the first time derivative or the second space derivative by a derivative of fractional order. The fundamental solutions of these equations provide probability density functions, evolving on time or variable in space, which are related to the class of stable distributions. This property is a noteworthy generalization of what happens for the standard diffusion equation and can be relevant in treating financial and economical problems where the stable probability distributions play a key role.

Affiliated with

Also associated with

No associations

Rating

Probability distributions generated by fractional diffusion equations 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 Probability distributions generated by fractional diffusion equations, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Probability distributions generated by fractional diffusion equations will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-255683