THERMAL SCIENCE
International Scientific Journal
THE LAPLACE SERIES SOLUTION FOR LOCAL FRACTIONAL KORTEWEG-DE VRIES EQUATION
ABSTRACT
In this paper, we consider a new application of the local fractional Laplace series expansion method to handle the local fractional Korteweg-de Vries equation. The obtained solution with non-differentiable type shows that the technology is accurate and efficient.
KEYWORDS
PAPER SUBMITTED: 2016-02-01
PAPER REVISED: 1970-01-01
PAPER ACCEPTED: 1970-01-01
PUBLISHED ONLINE: 2016-09-24
THERMAL SCIENCE YEAR
2016, VOLUME
20, ISSUE
Supplement 3, PAGES [S867 - S870]
- Yang, X.-J., et al., Local Fractional Integral Transforms and Their Applications, Academic Press, New York, USA, 2015
- 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
- Liu, H. Y., et al., Fractional Calculus for Nanoscale Flow and Heat Transfer, International Journal of Numerical Methods for Heat & Fluid Flow, 24 (2014), 6, pp. 1227-1250
- Yang, X.-J., et al., A New Family of the Local Fractional PDEs, Fundamenta Informaticae, 145 (2016), 1, pp. 1-12
- Cao, Y., Ma, W. G., et al., Local Fractional Functional Method for Solving Diffusion Equations on Cantor Sets, Abstract Applied Analysis, 2014 (2014), ID 803693
- 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.
- 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
- 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
- Liu, C. F., et al., Reconstructive Schemes for Variational Iteration Method Within Yang-Laplace Transform with Application to Fractal Heat Conduction Problem, Thermal Science, 17 (2013), 3, pp. 715-721
- 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
- Baleanu, D., et al., On the Exact Solution of Wave Equations on Cantor Sets, Entropy, 17 (2015), 9, pp. 6229-6237
- Goswami, P., et al., On the Solution of Local Fractional Differential Equations Using Local Fractional Laplace Variational Iteration Method, Mathematical Problems in Engineering, 2016 (2016), ID 9672314
- Ahmad, J., et al., Analytic Solutions of the Helmholtz and Laplace Equations by Using Local Fractional Derivative Operators, Waves, Wavelets and Fractals, 1 (2015), 1, pp. 22-26
- Yang, X.-J., et al., Initial-Boundary Value Problems for Local Fractional Laplace Equation Arising in Fractal Electrostatics, Journal of Applied Nonlinear Dynamics, 4 (2015), 3, pp. 349-356
- Yan, S. P., Local Fractional Laplace Series Expansion Method for Diffusion Equation Arising in Fractal Heat Transfer, Thermal Science, 17 (2015), Suppl. 1, pp. S131-S135