Monotone iterative method for ψ-caputo fractional differential equation with nonlinear boundary conditions

The main contribution of this paper is to prove the existence of extremal solutions for a novel class of ψ-Caputo fractional differential equation with nonlinear boundary conditions. For this purpose, we utilize the well-known monotone iterative technique together with the method of upper and lower...

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Bibliographic Details
Main Authors: Baitiche, Z., Derbazi, C., Alzabut, J., Samei, M.E., Kaabar, Mohammed K. A., Siri, Z.
Format: Article
Published: MDPI AG 2021
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Online Access:http://eprints.um.edu.my/35742/
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Summary:The main contribution of this paper is to prove the existence of extremal solutions for a novel class of ψ-Caputo fractional differential equation with nonlinear boundary conditions. For this purpose, we utilize the well-known monotone iterative technique together with the method of upper and lower solutions. Finally, we provide an example along with graphical representations to confirm the validity of our main results. © 2021 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (https:// creativecommons.org/licenses/by/ 4.0/).