Semi-Analytical Solutions of Time-Fractional KdV and Modified KdV Equations

  • Muhammad Sarmad Arshad Department of Mathematics, Lahore Garrison University, Lahore, Pakistan
  • Javed Iqbal Department of Mathematics, Minhaj University, Lahore, Pakistan
DOI: https://doi.org/10.32350/sir.34.04
Keywords: Time-Fractional KdV equations, Variational Iteration Method (VIM), Laplace Variational Method (LVM), non-linear Fractional Differential Equations

Abstract

Abstract Views: 119

In this paper, semi-analytical solutions of time-fractional Korteweg-de Vries (KdV) equations are obtained by using a novel variational technique. The method is based on the coupling of Laplace Transform Method (LTM) with Variational Iteration Method (VIM) and it was implemented on regular and modified KdV equations of fractional order in Caputo sense. Correction functionals were used in general Lagrange multipliers with optimality conditions via variational theory. The implementation of this method to non-linear fractional differential equations is quite easy in comparison with other existing methods.

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Published
2019-12-31
How to Cite
1.
Muhammad Sarmad Arshad, Javed Iqbal. Semi-Analytical Solutions of Time-Fractional KdV and Modified KdV Equations. Sci Inquiry Rev. [Internet]. 2019Dec.31 [cited 2024Nov.24];3(4):47-9. Available from: https://journals.umt.edu.pk/index.php/SIR/article/view/660
Issue
Vol 3 No 4: December 2019
Section
Orignal Article

Copyright (c) 2019 Muhammad Sarmad Arshad, Javed Iqbal

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