Approximate analytical solutions of Goursat problem within local fractional operators
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Authors
Dumitru Baleanu
- Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara, Turkey.
Hassan Kamil Jassim
- Department of Mathematics, Faculty of Education for Pure Sciences, University of Thi-Qar, Nasiriyah, Iraq.
Maysaa Al Qurashi
- Department of Mathematics, College of Science, King Saud University, Ryad, Saudi Arabia.
Abstract
The local fractional differential transform method (LFDTM) and local fractional decomposition method
(LFDM) are applied to implement the homogeneous and nonhomogeneous Goursat problem involving local
fractional derivative operators. The approximate analytical solution of this problem is calculated in form
of a series with easily computable components. Examples are studied in order to show the accuracy and
reliability of presented methods. We demonstrate that the two approaches are very effective and convenient
for finding the analytical solutions of partial differential equations with local fractional derivative operators.
Share and Cite
ISRP Style
Dumitru Baleanu, Hassan Kamil Jassim, Maysaa Al Qurashi, Approximate analytical solutions of Goursat problem within local fractional operators, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 6, 4829--4837
AMA Style
Baleanu Dumitru, Jassim Hassan Kamil, Qurashi Maysaa Al, Approximate analytical solutions of Goursat problem within local fractional operators. J. Nonlinear Sci. Appl. (2016); 9(6):4829--4837
Chicago/Turabian Style
Baleanu, Dumitru, Jassim, Hassan Kamil, Qurashi, Maysaa Al. "Approximate analytical solutions of Goursat problem within local fractional operators." Journal of Nonlinear Sciences and Applications, 9, no. 6 (2016): 4829--4837
Keywords
- Goursat problem
- local fractional differential transform method
- local fractional decomposition method
- analytical solutions
- local fractional derivative operators.
MSC
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