Solving Abel's Integral Equation Using (Sadiq-Emad-Eman) Transform

Abstract

In this paper, the exact solution of Abel's integral equation is found by using new integral transform named “SEE (Sadiq-Emad-Eman) integral”. The capability of SEE integral transform in solving Abel's integral equation is demonstrated and proven by applying the transform on some Abel's practical applications, in which the efficiency and simplicity of the transform in finding the exact solution of these problems has been proven.