On the Structure of Solutions of Volterra Interval-Valued Integro-Differential Equations

Abstract

In this paper, we discuss the structure of the solutions for linear interval-valued Volterra integro-differential equations (VIDEs) based on gH-difference. The considered VIDEs consist of six forms. Among those six forms, three forms are obtained by using the definition of generalized Hukuhara difference (or gH-difference). We obtain solutions of that linear interval-valued VIDEs and discuss their properties. Some examples illustrate the theory.