Similarity Solutions for Multiterm Time-Fractional Diffusion Equation
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Date
2016
Authors
Journal Title
Journal ISSN
Volume Title
Type
Article
Publisher
HINDAWI LTD
Series Info
ADVANCES IN MATHEMATICAL PHYSICS;
Scientific Journal Rankings
Abstract
Similarity method is employed to solve multiterm time-fractional diffusion equation. Theorders of the fractional derivatives belong to the interval (0, 1] and are defined in the Caputo sense. We illustrate how the problem is reduced from a multiterm two-variable fractional partial differential equation to a multiterm ordinary fractional differential equation. Power series solution is obtained for the resulting ordinary problem and the convergence of the series solution is discussed. Based on the obtained results, we propose a definition for a multiterm error function with generalized coefficients.
Description
Accession Number: WOS:000376310700001
Keywords
University of PARTIAL-DIFFERENTIAL-EQUATIONS, ANOMALOUS DIFFUSION, HEAT-CONDUCTION, ORDER, SYSTEMS, SCHEME, MODEL
Citation
Cited References in Web of Science Core Collection: 58