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Mathematical Problems in Engineering
Volume 2015, Article ID 481905, 9 pages
Research Article

Local Fractional Fourier Series Method for Solving Nonlinear Equations with Local Fractional Operators

School of Mathematics and Statistics, Nanyang Normal University, Nanyang 473061, China

Received 24 October 2014; Accepted 23 January 2015

Academic Editor: Sandile Motsa

Copyright © 2015 Yong-Ju Yang and Shun-Qin Wang. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


We apply the local fractional Fourier series method for solving nonlinear equation with local fractional operators. This method is the coupling of the local fractional Fourier series expansion method with other methods, such as the Yang-Laplace transformation method and the local fractional power series method, which effectively separates the variables of partial differential equation. Some testing nonlinear equations and equation systems are given to demonstrate the accuracy and applicability of the proposed approach.