Application of multiplicative power series to multiplicative integral equations

In this thesis, the basic definitions and theorems of multiplicative analysis are given. In addition, multiplicative sequences, finite product and multiplicative series are defined and basic rules about them are given. Afterwards, multiplicative power series and multiplicative Taylor series are mentioned. The main subject of this thesis is multiplicative integral equations and their solution with multiplicative power series. Definitions of multiplicative integral equations of the first and second types are given. The solutions of different multiplicative integral equations of the second type are investigated using the multiplicative power series method. These studies are supported by examples.