The solvability of interval-valued Abel integral equations on a time scale with trigonometric representation of parameterized interval analysis

Abstract

Abstract In this paper, the concept of the trigonometric representation of parameterized interval analysis is introduced to investigate a theory of the interval-valued Abel integral equation (IAIE) on a time scale. We provide suitable conditions to show that the IAIE on a time scale is solvable. Some simple examples are given to illustrate our main result.