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

Baitiche, Z. and Derbazi, C. and Alzabut, J. and Samei, M.E. and Kaabar, Mohammed K. A. and Siri, Z. (2021) Monotone iterative method for ψ-caputo fractional differential equation with nonlinear boundary conditions. Fractal and Fractional, 5 (3). ISSN 25043110, DOI https://doi.org/10.3390/fractalfract5030081.

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Abstract

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/).

Item Type: Article
Funders: OSTİM Technical University, Bu-Ali Sina University, Prince Sultan University
Uncontrolled Keywords: Boundary conditions; Extremal solutions; Monotone iterative style; Upper (lower) solutions; ψ-Caputo operator
Subjects: Q Science > Q Science (General)
Q Science > QA Mathematics
Divisions: Faculty of Science > Institute of Mathematical Sciences
Depositing User: Ms Zaharah Ramly
Date Deposited: 28 Nov 2023 06:23
Last Modified: 28 Nov 2023 06:23
URI: http://eprints.um.edu.my/id/eprint/35742

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