Approximate analytical solution of diffusion equation with fractional time derivative using optimal homotopy analysis method

In this article, optimal homotopy-analysis method is used to obtain approximate analytic solution of the time-fractional diffusion equation with a given initial condition. The fractional derivatives are considered in the Caputo sense. Unlike usual Homotopy analysis method, this method contains at th...

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Bibliographic Details
Main Authors: S. Das, K. Vishal, P. K. Gupta
Format: Article
Language:English
Published: University Constantin Brancusi of Targu-Jiu 2013-12-01
Series:Surveys in Mathematics and its Applications
Subjects:
Online Access:http://www.utgjiu.ro/math/sma/v08/p04.pdf