On the analysis of an analytical approach for fractional Caudrey-Dodd-Gibbon equations

The principal aim of this paper is to study the approximate solution of nonlinear Caudrey-Dodd-Gibbon equation of fractional order by employing an analytical method. The Caudrey-Dodd-Gibbon equation arises in plasma physics and laser optics. The Caputo derivative is applied to model the physical problem. By applying an effective semi-analytical technique, we attain the approximate solutions without linearization. The uniqueness and the convergence analysis for the applied method are shown. The graphical representation of solutions of fractional Caudrey-Dodd-Gibbon equation demonstrates the applied technique is very efficient to obtain the solutions of such type of fractional order mathematical models. (c) 2021 THE AUTHORS. Published by Elsevier BV on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).

Automated summary

The principal aim of this paper is to study the approximate solution of the nonlinear Caudrey-Dodd-Gibbon equation of fractional order using an analytical method. The uniqueness and convergence analysis for the method are proven. The results demonstrate that the applied technique is very efficient in obtaining solutions for fractional order mathematical models.