Fractional series expansion method for fractional differential equations
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 7 September 2015
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