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Fractional series expansion method for fractional differential equations

Zheng-Biao Li, Wei-Hong Zhu

International Journal of Numerical Methods for Heat & Fluid Flow

ISSN: 0961-5539

Article publication date: 7 September 2015

278

Abstract

Purpose

The purpose of this paper is to suggest a new analytical technique called the fractional series expansion method for solving linear fractional differential equations (FDEs).

Design/methodology/approach

This method is based on the idea of Kantorovich method, convergent series, and the modified Riemann-Liouville derivative.

Findings

This work suggests a new analytical technique. The FDEs are described in Jumarie’s sense.

Originality/value

It finds a new method for solving linear FDEs. The solution procedure is elucidated by two examples.

Keywords

Acknowledgements

The work is supported in part by NSF11361048 and 51463021 of China and Yunnan province NSF Grant No. 2011FB090.

Citation

Li, Z.-B. and Zhu, W.-H. (2015), "Fractional series expansion method for fractional differential equations", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 7, pp. 1525-1530. https://doi.org/10.1108/HFF-05-2014-0160

Publisher

:

Emerald Group Publishing Limited

Copyright © 2015, Emerald Group Publishing Limited

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