LargeNon-Local Operator and Applications

Abstract

In this project we discuss on,the Laplace and Fourier transform that we have found, so useful for solving the integral transforms to a general class of a non-local operators that share a common set of properties. The so called lin earities define a class of Laplace and Fourier transform which include many of the previous transform as special cases.The linearity of both transform helps to identify those assumptions that are needed to define Laplace and Fourier transform with the properties that we require a certain techniques to solve the function by using non-local operators.