The Succesive Approximations Method for Solving Non-Newtonian Fredholm Integral Equations of the Second Kind

Abstract

In this study, the Fredholm integral equations are defined in the sense of non-Newtonian calculus by using the concept of *-integral. The main aim of the study to research the solution of the linear non-Newtonian Fredholm integral equations of the second kind by using the successive approximations method with respect to the non-Newtonian calculus. The necessary conditions for the *-continuity and uniqueness of the solution of these equations are investigated and finally given some numerical examples.