A Novel Approach for Korteweg-De Vries Equation of Fractional Order
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Abstract
In this study, the local fractional variational iteration method (LFVIM) and the local fractional series expansion method (LFSEM) are utilized to obtain approximate solutions for Korteweg-de Vries equation (KdVE) within local fractional derivative operators (LFDOs). The efficiency of the considered methods is illustrated by some examples. The results reveal that the suggested algorithms are very effective and simple and can be applied for linear and nonlinear problems in mathematical physics.
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Keywords
Local Fractional Operators, Local Fractional Variational Iteration Method, Local Fractional Series Expansion Method, Korteweg-De Vries, Korteweg-de Vries, Local fractional operators, Mechanics of engineering. Applied mechanics, TA349-359, Local fractional series expansion method, Local fractional variational iteration method
Fields of Science
0211 other engineering and technologies, 0202 electrical engineering, electronic engineering, information engineering, 02 engineering and technology
Citation
Jassim, Hassan Kamil; Baleanu, Dumitru, "A Novel Approach for Korteweg-de Vries Equation of Fractional Order", Journal of Applied and Computational Mechanics, Vol. 5, No. 2, pp. 192-198, (September 2019).
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OpenCitations Citation Count
1
Volume
5
Issue
2
Start Page
192
End Page
198
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