On the nonlinear Hadamard-type integro-differential equation

Chenkuan Li

doi:10.1186/s13663-021-00693-5

On the nonlinear Hadamard-type integro-differential equation

Fixed Point Theory Algorithm Sci Eng. 2021;2021(1):7. doi: 10.1186/s13663-021-00693-5. Epub 2021 Mar 15.

Author

Chenkuan Li¹

Affiliation

¹ Department of Mathematics and Computer Science, Brandon University, Brandon, Manitoba R7A 6A9 Canada.

Abstract

This paper studies uniqueness of solutions for a nonlinear Hadamard-type integro-differential equation in the Banach space of absolutely continuous functions based on Babenko's approach and Banach's contraction principle. We also include two illustrative examples to demonstrate the use of main theorems.

Keywords: Absolute continuity; Babenko’s approach; Banach’s contraction principle; Hadamard-type fractional derivative; Hadamard-type fractional integral; Multivariate Mittag-Leffler function.