THERMAL SCIENCE

International Scientific Journal

Authors of this Paper

External Links

THE LOCAL FRACTIONAL SERIES EXPANSION SOLUTION FOR LOCAL FRACTIONAL KORTEWEG-DE VRIES EQUATION

ABSTRACT
In this paper, the local fractional series expansion method is used to find the series solution for the local fractional Korteweg-de Vries equation.
KEYWORDS
PAPER SUBMITTED: 2015-12-08
PAPER REVISED: 2016-01-18
PAPER ACCEPTED: 1970-01-01
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3863Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S863 - S866]
REFERENCES
  1. Yang, X. J., et al., Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, 2015
  2. Yang, X. J., et al., Modelling Fractal Waves on Shallow Water Surfaces Via Local Fractional Korteweg- -de Vries Equation, Abstract Applied Analysis, 2014 (2014), ID 278672
  3. Yang, X.-J., et al., A New Model of the LC-Electric Circuit Modelled by Local Fractional Calculus, Bulletin Mathematiques de la Societe des Sciences Mathematiques de Roumanie, 2015, in press
  4. Yang, X. J., et al., An Asymptotic Perturbation Solution for a Linear Oscillator of Free Damped Vibrations in Fractal Medium Described by Local Fractional Derivatives, Communications in Nonlinear Science and Numerical Simulation, 29 (2015), 1, pp. 499-504
  5. Yang, X. J., et al., A New Insight into Complexity from the Local Fractional Calculus View Point: Modelling Growths of Populations, Mathematical Methods in the Applied Sciences, 2015 (2015), in press, DOI: 10.1002/mma.3765
  6. Zhang, Y., et al., Local Fractional Homotopy Perturbation Method for Solving Non-Homogeneous Heat Conduction Equations in Fractal Domains, Entropy, 17 (2015), 10, pp. 6753-6764
  7. Jafari, H., et al., A Decomposition Method for Solving Diffusion Equations via Local Fractional Time Derivative, Thermal Science, 19 (2015), Suppl. 1, pp. S123-S129
  8. Yang, X. J., et al., A New Numerical Technique for Solving the Local Fractional Diffusion Equation: Two-Dimensional Extended Differential Transform Approach, Applied Mathematics and Computation, 274 (2016), Feb., pp. 143-151
  9. Yang, X. J., et al., Local Fractional Similarity Solution for the Diffusion Equation Defined on Cantor sets, Applied Mathematical Letters, 47 (2015), Sept. pp. 54-60
  10. Jassim, H. K., et al.,. Local Fractional Laplace Variational Iteration Method for Solving Diffusion and Wave Equations on Cantor Sets Within Local Fractional Operators, Mathematical Problems in Engineering, 2015 (2015), ID 309870
  11. Jia, Z., et al., Local Fractional Differential Equations by the Exp-Function Method, International Journal of Numerical Methods for Heat & Fluid Flow, 25 (2015), 8, pp. 1845-1849
  12. Jassim, H. K., Local Fractional Laplace Decomposition Method for Nonhomogeneous Heat Equations Arising in Fractal Heat Flow with Local Fractional Derivative, International Journal of Advances in Applied Mathematics and Mechanics, 2 (2015), 4, pp. 1-7
  13. Yang, A. M., et al., Local Fractional Series Expansion Method for Solving Wave and Diffusion Equations on Cantor sets, Abstr. Appl. Anal., 2013 (2013), ID 351057
  14. Yan, S. P., Local Fractional Laplace Series Expansion Method for Diffusion Equation Arising in Fractal Heat Transfer, Thermal Science, 19 (2015), Suppl. 1, pp. S131-S135
  15. Yang, A. M., et al., A New Coupling Schedule for Series Expansion Method and Sumudu Transform with an Applications to Diffusion Equation in Fractal Heat Transfer, Thermal Science, 19 (2015), Supp. 1, pp. S145-S149

© 2019 Society of Thermal Engineers of Serbia. Published by the Vinča Institute of Nuclear Sciences, Belgrade, Serbia. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International licence