Analytical Solutions for the Nonlinear Partial Differential Equations Using the Conformable Triple Laplace Transform Decomposition Method

Shailesh A. Bhanotar, Mohammed K. A. Kaabar, Mostafa Eslami
2021 International Journal of Differential Equations  
In this paper, a novel analytical method for solving nonlinear partial differential equations is studied. This method is known as triple Laplace transform decomposition method. This method is generalized in the sense of conformable derivative. Important results and theorems concerning this method are discussed. A new algorithm is proposed to solve linear and nonlinear partial differential equations in three dimensions. Moreover, some examples are provided to verify the performance of the
more » ... d algorithm. This method presents a wide applicability to solve nonlinear partial differential equations in the sense of conformable derivative.
doi:10.1155/2021/9988160 fatcat:vnr7mnyrdzbf3jfziawgiz45gq