Modified Double Conformable Laplace Transform and Singular Fractional Pseudo-Hyperbolic and Pseudo-Parabolic Equations

Abstract

In this paper, double conformable Laplace’s transform (DCLT) and a few of its properties were studied, and then combine it with a new method to solve a new type of fractional partial differential equations called “Singular Fractional Pseudo-hyperbolic and Pseudo-parabolic Equations”. We observe that this method is extremely efficient to these equations because we have created an exact solution by taking just one step at the same time as the other methods need more steps to get the exact solution.

Keywords

• Double conformable Laplace’s Transform (DCLT)
• Singular Fractional Pseudo-Hyperbolic Equation
• Singular Fractional Pseudo-Parabolic Equation