SOME PHYSICS APPLICATIONS OF THE NEW INTEGRATION

In this work, we apply a new integral transform the Abaoub-Shkheam Transform in solving first and second-order ordinary differential equations with constant coefficients and equations are concerned with a damping mechanical force system and an inductive capacitive electrical circuit in mechanics and electrical circuit problems with initial conditions. Also, we will discuss the applications of the Abaoub-Shkheam Transform in solving the differential equations related to successive radioactive decay of the parent nucleus which is an important subject in nuclear physics. Also included are the formulae for computing the daughter and granddaughter nuclei, as well as instructions for the function of the mechanical system's transfer.