On the solution of linear and nonlinear partial differential equations: applications of local fractional Sumudu variational method
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Authors
Badr S. Alkahtani
- Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia.
Obaid J. Algahtani
- Mathematics Department, College of Science, King Saud University, Riyadh 11989, Saudi Arabia.
Pranay Goswami
- School of Liberal Studies, Ambedkar University Delhi, Delhi-11006, India.
Abstract
In this paper, the local fractional Sumudu variational iteration method is being used to investigate
the solutions of partial differential equations containing the local fractional derivatives. The present
technique is the combination of the local fractional Sumudu transform and fractional variational
iteration method. Three illustrative examples are given to demonstrate the efficiency of the method.
Share and Cite
ISRP Style
Badr S. Alkahtani, Obaid J. Algahtani, Pranay Goswami, On the solution of linear and nonlinear partial differential equations: applications of local fractional Sumudu variational method, Journal of Mathematics and Computer Science, 16 (2016), no. 3, 445-451
AMA Style
Alkahtani Badr S., Algahtani Obaid J., Goswami Pranay, On the solution of linear and nonlinear partial differential equations: applications of local fractional Sumudu variational method. J Math Comput SCI-JM. (2016); 16(3):445-451
Chicago/Turabian Style
Alkahtani, Badr S., Algahtani, Obaid J., Goswami, Pranay. "On the solution of linear and nonlinear partial differential equations: applications of local fractional Sumudu variational method." Journal of Mathematics and Computer Science, 16, no. 3 (2016): 445-451
Keywords
- Modified Riemann-Liouville derivative
- local fractional derivative
- fractional variational iteration method
- fractional differential equations
- local fractional Sumudu transform.
MSC
- 26A33
- 35A22
- 33E12
- 35R11
- 65L10
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