Laplace–Elzaki transform and its properties with applications to integral and partial differential equations

Abstract EN

Laplace-Elzaki transform (LET) as a double integral transform of a function f (x, t) of two variables was presented to solve some integral and partial differential equations.

Main properties and theorems were proved.

The convolution of two function f (x, t) and g (x, t) and the convolution theorem were discussed.

The integral and partial differential equations were turned to algebraic ones by using (LET) and its properties.

The results showed that the Laplace-Elzaki transform was more efficient and useful to handle such these kinds of equations.