Distributed order fractional sub-diffusion

Details Distributed order fractional sub-diffusion Distributed order fractional sub-diffusion

2003-11-25

arxiv.org/abs/math-ph/0311047v1

Physics

Mathematical Physics

Accepted for publication at the journal "Fractals."

Scientific paper

A distributed order fractional diffusion equation is considered. Distributed order derivatives are fractional derivatives that have been integrated over the order of the derivative within a given range. In this paper sub-diffusive cases are considered. That is, the order of the time derivative ranges from zero to one. The equation is solved for Dirichlet, Neumann, and Cauchy boundary conditions. The time dependence for each of the three cases is found to be a functional of the diffusion parameter. This functional is shown to have decay properties. Upper and lower bounds are computed for the functional. Examples are also worked out for comparative decay rates.

Affiliated with

Also associated with

No associations

Rating

Distributed order fractional sub-diffusion 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 Distributed order fractional sub-diffusion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Distributed order fractional sub-diffusion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-122595