Existence and Uniqueness of Solutions for Atangana-Baleanu Fractional Differential Equations in Caputo-Sense

Abstract

In this work, we investigate the existence and uniqueness of Atangana-Baleanu solutions in Caputo sense fractional differential equations. The existence results are based on Monch’s fixed point theorem. ¨ The idea of uniqueness is investigated using the Banach contraction principle. Furthermore, a practical example of the results of solutions that include various fractional orders is provided to validate the theoretical insights provided in this paper.