Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM
Joint Authors
Source
International Journal of Mathematics and Mathematical Sciences
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-04-11
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
In this study we use the conformable fractional reduced differential transform (CFRDTM) method to compute solutions for systems of nonlinear conformable fractional PDEs.
The proposed method yields a numerical approximate solution in the form of an infinite series that converges to a closed form solution, which is in many cases the exact solution.
We inspect its efficiency in solving systems of CFPDEs by working on four different nonlinear systems.
The results show that CFRDTM gave similar solutions to exact solutions, confirming its proficiency as a competent technique for solving CFPDEs systems.
It required very little computational work and hence consumed much less time compared to other numerical methods.
American Psychological Association (APA)
Chaouk, Abir& Jneid, Maher. 2019. Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM. International Journal of Mathematics and Mathematical Sciences،Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1166409
Modern Language Association (MLA)
Chaouk, Abir& Jneid, Maher. Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM. International Journal of Mathematics and Mathematical Sciences No. 2019 (2019), pp.1-7.
https://search.emarefa.net/detail/BIM-1166409
American Medical Association (AMA)
Chaouk, Abir& Jneid, Maher. Analytic Solution for Systems of Two-Dimensional Time Conformable Fractional PDEs by Using CFRDTM. International Journal of Mathematics and Mathematical Sciences. 2019. Vol. 2019, no. 2019, pp.1-7.
https://search.emarefa.net/detail/BIM-1166409
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1166409