Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients

Abstract

Abstract This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko’s approach, and Banach’s contractive principle. An example is also provided to illustrate the applications of our theorem.

Keywords

• Liouville-Caputo integro-differential equation
• Banach’s contractive principle
• Mittag-Leffler function
• Babenko’s approach