Local fractional Fourier method for solving modified diffusion equations with local fractional derivative
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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.
Share and Cite
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
Keywords
- Local fractional Fourier series
- local fractional derivative
- modified diffusion equation.
MSC
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