Multiplicative integral equations and the relationship of multiplicative integral equations with multiplicative differential equations

Integral equations have an important role and many applications in applied mathematics, mathematical physics and engineering. Since integral equations are used in the solution of differential equations, there is a close relationship with the differential equations. The wide range of applications of differential equations have brought integral equations into an important position. In main results of this thesis, firstly, the multiplicative integral equations are defined and the solution of the multiplicative integral equations is studied. In the second part, the relationship of the multiplicative integral equations with the multiplicative differential equations is investigated. It is proved that a multiplicative integral equation is converted to a multiplicative differential equation and multiplicative linear differential equation with constant or variable exponetials is converted to a multiplicative Volterra integral equation and also examples are made about them.