Applications of natural integral transform of two dimensions for solving the partial integro-differential equations

This paper employs the Natural Integral Transform of two dimensions for solving partial integro -differential equations (PIDEs), which is an important tool in solving complicated mathematical problems. This work comprehensively covers important Natural Integral Transform definitions and properties, including the transform of partial derivatives and convolution theorems, and their applications in solving PIDEs. In this work, the transform is applied to solve Volterra partial integro-differential equations and another partial integro-differential equation, and it is proven that is an operational method used to simplify and solve complicated partial integro-differential equations, yielding effective solutions in the mathematics & engineering fields.