Generalized distributed order diffusion equations with composite time fractional derivative
Mathematical Physics
2017-03-17 v3 math.MP
Abstract
In this paper we investigate the solution of generalized distributed order diffusion equations with composite time fractional derivative by using the Fourier-Laplace transform method. We represent solutions in terms of infinite series in Fox -functions. The fractional and second moments are derived by using Mittag-Leffler functions. We observe decelerating anomalous subdiffusion in case of two composite time fractional derivatives. Generalized uniformly distributed order diffusion equation, as a model for strong anomalous behavior, is analyzed by using Tauberian theorem. Some previously obtained results are special cases of those presented in this paper.
Cite
@article{arxiv.1603.05724,
title = {Generalized distributed order diffusion equations with composite time fractional derivative},
author = {Trifce Sandev and Zivorad Tomovski and Bojan Crnkovic},
journal= {arXiv preprint arXiv:1603.05724},
year = {2017}
}
Comments
Computers and Mathematics with Applications (2016)