A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations-Reference-Cited by-同舟云学术

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A numerical technique based on the shifted Legendre polynomials for solving the time-fractional coupled KdV equations

Published:2015-01-20 Issue:1 Volume:53 Page:1-17
ISSN:0008-0624
Container-title:Calcolo
language:en
Short-container-title:Calcolo

Author:

Bhrawy A. H.,Doha E. H.,Ezz-Eldien S. S.,Abdelkawy M. A.

Publisher

Springer Science and Business Media LLC

Subject

Computational Mathematics,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s10092-014-0132-x.pdf

Reference48 articles.

1. Debnath, L.: Recent applications of fractional calculus to science and engineering. Int. J. Math. Math. Sci. 54, 3413–3442 (2003)

2. Lewandowski, R., Chorazyczewski, B.: Identification of the parameters of the Kelvin-Voigt and the Maxwell fractional models, used to modeling of viscoelastic dampers. Comput. Struct. 88, 1–17 (2010)

3. Das, S.: Functional Fractional Calculus for System Identification and Controls. Springer, New York (2008)

4. Benson, D.A., Meerschaert, M.M., Revielle, J.: Fractional calculus in hydrologic modeling: a numerical perspective. Adv. Water Resour. 51, 479–497 (2013)

5. Grzesikiewicz, W., Wakulicz, A., Zbiciak, A.: Non-linear problems of fractional in modelling of mechanical systems. Int. J. Mech. Sci. 70, 89–90 (2013)

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