Similarity Solutions for Multiterm Time-Fractional Diffusion Equation

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Date

2016

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