Existence and Uniqueness of Solutions for Atangana-Baleanu Fractional Differential Equations in Caputo-Sense
Year: 2025
Type: article
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.
Author: Abduljawad Khairi Anwar
Institution: University of Duhok
Language: English
Subfield: Applied Mathematics
Field: Mathematics
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W4413067667