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THE METHOD OF SEPARATION OF VARIABLES FOR LOCAL FRACTIONAL KORTEWEG-DE VRIES EQUATION

ABSTRACT
This paper presents the analytical solution of the local fractional linear Korteweg-de Vries equation in (1 + 1) fractal dimensional space by using the method of separation of variables.
KEYWORDS
PAPER SUBMITTED: 2015-12-01
PAPER REVISED: 2016-01-25
PAPER ACCEPTED: 2016-02-26
PUBLISHED ONLINE: 2016-09-24
DOI REFERENCE: https://doi.org/10.2298/TSCI16S3859Z
CITATION EXPORT: view in browser or download as text file
THERMAL SCIENCE YEAR 2016, VOLUME 20, ISSUE Supplement 3, PAGES [S859 - S862]
REFERENCES
  1. Yang, X. J., Advanced Local Fractional Calculus and Its Applications, World Science, New York, USA, 2012
  2. Yang, X. J., et al., Fractal Boundary Value Problems for Integral and Differential Equations with Local Fractional Operators, Thermal Science, 19 (2015), 3, pp. 959-966
  3. Zhang, Y., et al., Local Fractional Variational Iteration Algorithm II for Non-Homogeneous Model Associated with the Non-Differentiable Heat Flow, Advances in Mechanical Engineering, 7 (2015), 10, pp. 1-7
  4. Yang, A. M., et al., The Yang-Fourier Transforms to Heat-Conduction in a Semi-Infinite Fractal Bar, Thermal Science, 17 (2013), 3, pp. 707-713
  5. Yang, X. J., et al., Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, 2015
  6. Yang, X. J., et al., A New Family of the Local Fractional PDEs, Fundamenta Informaticae, 2015 (2015), in press
  7. 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
  8. Yang, X. J., et al., Local Fractional Homotopy Perturbation Method for Solving Fractal Partial Differential Equations Arising in Mathematical Physics, Romanian Reports in Physics, 67 (2015), 3, pp. 752-761
  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. Yang, X. J., et al., Cantor-Type Cylindrical-Coordinate Method for Differential Equations with Local Fractional Derivatives, Physics Letter A, 377 (2013), 28, pp. 1696-1700
  11. Zhang, Y., Yang, X. J., An Efficient Analytical Method for Solving Local Fractional Nonlinear PDEs Arising in Mathematical Physics, Applied Mathematical Modelling, 40 (2016), 3, pp. 1793-1799
  12. Erden, S., Sarikaya, M. Z., Generalized Pompeiu Type Inequalities for Local Fractional Integrals and Its Applications, Applied Mathematics and Computation, 274 (2016), Feb., pp. 282-291
  13. Goswami, P., Alqahtani, R. T., On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method, Mathematical Problems in Engineering, 2016 (2016), ID 9672314
  14. Baleanu, D., et al., On the Exact Solution of Wave Equations on Cantor Sets, Entropy, 17 (2015), 9, pp. 6229-6237
  15. 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
  16. Ma, M., et al., New Results for Multidimensional Diffusion Equations in Fractal Dimensional Space, Rom. J. Phys., 2015, in press

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