Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958602 | Computers & Mathematics with Applications | 2017 | 13 Pages |
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 H-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.
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Physical Sciences and Engineering
Computer Science
Computer Science (General)
Authors
Trifce Sandev, Zivorad Tomovski, Bojan Crnkovic,