Reduced differential transform method for solving time and space local fractional partial differential equations

Volume 10, Issue 10, pp 5230--5238 http://dx.doi.org/10.22436/jnsa.010.10.09

Publication Date: October 19, 2017 Submission Date: April 01, 2017

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Authors

Omer Acan - Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey. Maysaa Mohamed Al Qurashi - Department of Mathematics, Faculty of Art and Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia. Dumitru Baleanu - Department of Mathematics and Computer Sciences, Faculty of Art and Science, Cankaya University, Ankara, Turkey. - Institute of Space Sciences, Magurele-Bucharest, Romania.

Abstract

We apply the new local fractional reduced differential transform method to obtain the solutions of some linear and nonlinear partial differential equations on Cantor set. The reported results are compared with the related solutions presented in the literature and the graphs are plotted to show their behaviors. The results prove that the presented method is faster and easy to apply.

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Keywords

• Approximate solution
• local fractional derivative
• partial differential equations
• reduced differential transform method

MSC

•  35R11
•  35A22
•  65R10

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