Application of the Triple Laplace Transform Decomposition Method for Solving Singular (2 + 1)-Dimensional Time-Fractional Coupled Korteweg–De Vries Equations (KdV)

Abstract

The main aim of this article is to modify the space-time fractionalKdV equations using the Bessel operator. The triple Laplace transform decomposition method (TLTDM) is proposed to find the solution for a time-fractional singular KdV coupled system of equations. Three problems are discussed to check the accuracy and illustrate the effectiveness of this technique. The results imply that our method is very active and easy to utilize while analyzing the manner of nonlinear fractional differential equations appearing in the joint field of science and mathematics. Moreover, this method is fast convergent if we compare it with the existing techniques in the literature.

Keywords

• double Laplace
• triple Laplace transform
• inverse triple Laplace transform
• coupled KdV equation
• decomposition methods