Local fractional differential equations by the Exp-function method
International Journal of Numerical Methods for Heat & Fluid Flow
ISSN: 0961-5539
Article publication date: 2 November 2015
Abstract
Purpose
The fractional complex transform is used to convert the fractional differential equation to its differential partner and the exp-function method is to solve the resultant equation. The exact solutions for the equation are successfully established. The paper aims to discuss these issues.
Design/methodology/approach
Use the chain rule of the local fractional derivative and the exp-function method.
Findings
Some new exact solutions for the fractional differential equation are successfully established, and the process of the solution is extremely simple and remarkably accessible.
Originality/value
The fractional complex transform is used to convert the fractional differential equation to its differential partner and the exp-function method is to solve the resultant equation.
Keywords
Acknowledgements
This project is sponsored by the National Natural Science Foundation of China (NSFC, Grant U1204703, U1304614), the Key Scientific and Technological Project of Henan Province (122102310004), the Fundamental Research Funds for the Central Universities (HUST: 2012QN087, 2012QN088) and the Innovation Scientists and Technicians Troop Construction Projects of Zhengzhou City (10LJRC190).
Citation
Jia, Z., Hu, M., Chen, Q. and Jai, S. (2015), "Local fractional differential equations by the Exp-function method", International Journal of Numerical Methods for Heat & Fluid Flow, Vol. 25 No. 8, pp. 1845-1849. https://doi.org/10.1108/HFF-05-2014-0144
Publisher
:Emerald Group Publishing Limited
Copyright © 2015, Emerald Group Publishing Limited