Bessel’s functions have great mathematical importance in solving differential equations, especially in the applied field. There is a lot of research that review some applied equations and their solutions using these functions. Since integral transforms have high efficiency in finding accurate solutions to distinct kinds of differential and integral equations, we use in this paper the proposed method “SEJI integral transform” for functions of Bessel. These certain applications have been taken for these functions and solved by SEJI integral transform that reached to the exact solutions. In addition, some characteristics of this transformation were introduced that helped in arriving at accurate solutions.