Conformable Double Laplace Transform Method (CDLTM) and Homotopy Perturbation Method (HPM) for Solving Conformable Fractional Partial Differential Equations
Conformable Double Laplace Transform Metho
Abstract: In the present article, the method which was obtained from a combination of the con-
formable fractional double Laplace transform method (CFDLTM) and the homotopy perturbation
method (HPM) was successfully applied to solve linear and nonlinear conformable fractional par-
tial differential equations (CFPDEs). We included three examples to help our presented technique.
Moreover, the results show that the proposed method is efficient, dependable, and easy to use for
certain problems in PDEs compared with existing methods. The solution graphs show close contact
between the exact and CFDLTM solutions. The outcome obtained by the conformable fractional
double Laplace transform method is symmetrical to the gain using the double Laplace transform
Abstract
In this study the method which was obtained from a combination of the conformable
fractional double Laplace transform method and the Adomian decomposition
method has been…
Abstract: The current study employs the natural transform decomposition method (NTDM) to test
fractional-order partial differential equations (FPDEs). The present technique is a mixture of the…
Abstract: In the present article, the method which was obtained from a combination of the con-
formable fractional double Laplace transform method (CFDLTM) and the homotopy perturbation
…