Geodesic
Reduced differential transform method for solving time and space local fractional partial differential equations
Acan, Omer 1 ; Al Qurashi, Maysaa Mohamed 2 ; Baleanu, Dumitru 3
1 Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey
2 Department of Mathematics, Faculty of Art and Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
3 Department of Mathematics and Computer Sciences, Faculty of Art and Science, Cankaya University, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania
Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 10, p. 5230-5238.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.010.10.09
Classification : 35R11, 35A22, 65R10
Keywords: Approximate solution, local fractional derivative, partial differential equations, reduced differential transform method

Acan, Omer  1 ; Al Qurashi, Maysaa Mohamed  2 ; Baleanu, Dumitru  3

1 Department of Mathematics, Art and Science Faculty, Siirt University, Siirt, Turkey
2 Department of Mathematics, Faculty of Art and Science, King Saud University, P. O. Box 22452, Riyadh 11495, Saudi Arabia
3 Department of Mathematics and Computer Sciences, Faculty of Art and Science, Cankaya University, Ankara, Turkey;Institute of Space Sciences, Magurele-Bucharest, Romania 
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Acan, Omer ; Al Qurashi, Maysaa Mohamed ; Baleanu, Dumitru . Reduced differential transform method for solving time and space local fractional  partial differential equations. Journal of nonlinear sciences and its applications, Tome 10 (2017) no. 10, p. 5230-5238. doi : 10.22436/jnsa.010.10.09. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.010.10.09/

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