
Semi-Analytical Solutions of Time-Fractional KdV and Modified KdV Equations
Author(s) -
Muhammad Sarmad Arshad,
Javed Iqbal
Publication year - 2019
Publication title -
scientific inquiry and review
Language(s) - English
Resource type - Journals
eISSN - 2521-2435
pISSN - 2521-2427
DOI - 10.32350/sir.34.04
Subject(s) - korteweg–de vries equation , mathematics , laplace transform , lagrange multiplier , partial differential equation , mathematical analysis , nonlinear system , mathematical optimization , physics , quantum mechanics
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.