A study in the existence and uniqueness solution of Volterra-Fredholm integro-differential equations

Abstract

The purpose of this paper is to study the existence and uniqueness solution of new Volterra-Fredholm integro- differential equation, by using Picard approximation method. Theorems on existence and uniqueness of solution are established under some necessary and sufficient conditions on closed and bounded domains (compact spaces). Also, these investigations lead us to the improving and extending the results of Faris and an extended the above methods.

Keywords

• integro-differential equation
• volterra – fredholm types
• picard approximation method
• existence and uniqueness solution