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Entropy 2016, 18(4), 150; doi:10.3390/e18040150

On the Approximate Solutions of Local Fractional Differential Equations with Local Fractional Operators

1
Department of Mathematical Sciences, University of South Africa (UNISA), Pretoria 0003, South Africa
2
Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar 47416, Iran
3
Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah 64001, Iraq
4
Department of Mathematics, King Saud University, P.O. Box 22452, Riyadh 11495, Saudi Arabia
5
Department of Mathematics, Çankaya University, Ankara 06530, Turkey
6
Institute of Space Sciences, P.O. Box MG-23, Magurele-Bucharest RO-76911, Romania
*
Author to whom correspondence should be addressed.
Academic Editors: J. A. Tenreiro Machado and Kevin H. Knuth
Received: 5 March 2016 / Revised: 5 April 2016 / Accepted: 13 April 2016 / Published: 19 April 2016
(This article belongs to the Section Complexity)
View Full-Text   |   Download PDF [225 KB, uploaded 19 April 2016]

Abstract

In this paper, we consider the local fractional decomposition method, variational iteration method, and differential transform method for analytic treatment of linear and nonlinear local fractional differential equations, homogeneous or nonhomogeneous. The operators are taken in the local fractional sense. Some examples are given to demonstrate the simplicity and the efficiency of the presented methods. View Full-Text
Keywords: fractional differential equations; local fractional decomposition method; local fractional variational iteration method; local fractional differential transform method fractional differential equations; local fractional decomposition method; local fractional variational iteration method; local fractional differential transform method
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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MDPI and ACS Style

Jafari, H.; Jassim, H.K.; Tchier, F.; Baleanu, D. On the Approximate Solutions of Local Fractional Differential Equations with Local Fractional Operators. Entropy 2016, 18, 150.

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