The A–Variational Iteration Transform

JACSM - In this paper, a new integral transform called A–Transform is introduced and studied. Some properties and Theorems have been discussed to demonstrate its valid. In addition, another new combined method based on the A–Transform and the Variational Iteration method called A– Variational Iteration Transform, shortly (AVIT) is introduced and studied as well. This combined method gives us a new correction functional for differential or integrodifferential equation in terms of A–Transform, and that make it easy to use for solving problems. Some examples have been delt with the AVIT Method such as Volterra integral and Integrodifferential Equations of the second kind.