Uniqueness of the Hadamard-type integral equations

Abstract

Abstract The goal of this paper is to study the uniqueness of solutions of several Hadamard-type integral equations and a related coupled system in Banach spaces. The results obtained are new and based on Babenko’s approach and Banach’s contraction principle. We also present several examples for illustration of the main theorems.

Keywords

• Hadamard-type integral
• Banach’s fixed point theorem
• Babenko’s approach
• Multivariate Mittag-Leffler function