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

Alexandria Engineering Journal

Arpita Gupta¹  Jagdev Singh²  Dumitru Baleanu² 

[1] Corresponding author.;Department of Mathematics, JECRC University, Jaipur 303905, Rajasthan, India;

关键词: Caputo fractional derivative;    Fractional Caudrey-Dodd Gibbon equation;    Analytical method;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown