Local fractional Fourier method for solving modified diffusion equations with local fractional derivative


Authors

Yong-Ju Yang - School of Mathematics and Statistics, Nanyang Normal University, 473061 Nanyang, P. R. China. Yan-Ni Chang - School of Mathematics and Statistics, Nanyang Normal University, 473061 Nanyang, P. R. China. Shun-Qin Wang - School of Mathematics and Statistics, Nanyang Normal University, 473061 Nanyang, P. R. China.


Abstract

In this manuscript, in order to solve the boundary and initial value problem of modified diffusion equation with local fractional derivative, we present the local fractional Fourier series method. The method can easily convert the partial fractional differential equation into the ordinary fractional equation system. And several test examples are given to show the procedure and reliability of the proposed technique.


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ISRP Style

Yong-Ju Yang, Yan-Ni Chang, Shun-Qin Wang, Local fractional Fourier method for solving modified diffusion equations with local fractional derivative, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 6153--6160

AMA Style

Yang Yong-Ju, Chang Yan-Ni, Wang Shun-Qin, Local fractional Fourier method for solving modified diffusion equations with local fractional derivative. J. Nonlinear Sci. Appl. (2016); 9(12):6153--6160

Chicago/Turabian Style

Yang, Yong-Ju, Chang, Yan-Ni, Wang, Shun-Qin. "Local fractional Fourier method for solving modified diffusion equations with local fractional derivative." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 6153--6160


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