Applications of Separation Variables Approach in Solving Time-Fractional PDEs
Joint Authors
Source
Mathematical Problems in Engineering
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-04-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Based on the homogenous balanced principle and subequation method, an improved separation variables function-expansion method is proposed to seek exact solutions of time-fractional nonlinear PDEs.
This method is novel and meaningful without using Leibniz rule and chain rule of fractional derivative which have been proved to be incorrect.
By using this method, we studied a nonlinear time-fractional PDE with diffusion term.
Some general solutions are obtained which contain many arbitrary parameters.
Solutions given in related reference are just our especial case.
And we also obtained some new type of solutions.
American Psychological Association (APA)
He, Ying-Hui& Zhao, Yun-Mei. 2018. Applications of Separation Variables Approach in Solving Time-Fractional PDEs. Mathematical Problems in Engineering،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1207192
Modern Language Association (MLA)
He, Ying-Hui& Zhao, Yun-Mei. Applications of Separation Variables Approach in Solving Time-Fractional PDEs. Mathematical Problems in Engineering No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1207192
American Medical Association (AMA)
He, Ying-Hui& Zhao, Yun-Mei. Applications of Separation Variables Approach in Solving Time-Fractional PDEs. Mathematical Problems in Engineering. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1207192
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1207192