4.1 Article

A new Sumudu transform iterative method for time-fractional Cauchy reaction-diffusion equation

Journal

SPRINGERPLUS
Volume 5, Issue -, Pages -

Publisher

SPRINGER INTERNATIONAL PUBLISHING AG
DOI: 10.1186/s40064-016-2426-8

Keywords

Sumudu transform; Caputo fractional derivative; Diffusion equation

Funding

  1. National Natural Science Foundation of China [61373174]

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In this paper, a new Sumudu transform iterative method is established and successfully applied to find the approximate analytical solutions for time-fractional Cauchy reaction-diffusion equations. The approach is easy to implement and understand. The numerical results show that the proposed method is very simple and efficient.

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