Solving Partial Integro Differential Equations Via Double Laplace-Formable Transform

The double Laplace-Formable transform is a novel double integral transform that we present in this research. A number of partial derivatives, existence conditions, the theorem of double convolution, with other properties and theorems are discussed. Moreover, we investigate the solutions of some partial integro-differential equations by utilizing a convolution kernel, and the double Laplace-Formable transform. We solve a significant number of examples and show that the double Laplace-Formable transform converts the partial integro-differential equation into a solvable algebraic equation.