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

Baitiche, Zidane and Derbazi, Choukri and Alzabut, Jehad and Samei, Mohammad Esmael and Kaabar, Mohammed K. A. and Siri, Zailan (2021) Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions. Fractal and Fractional, 5 (3). p. 81. ISSN 2504-3110, DOI https://doi.org/10.3390/fractalfract5030081.

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Official URL: https://doi.org/10.3390/fractalfract5030081

Abstract

The main contribution of this paper is to prove the existence of extremal solutions for a novel class of psi-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.

Item Type: Article
Funders: UNSPECIFIED
Uncontrolled Keywords: psi-caputo operator; Extremal solutions; Monotone iterative style; Upper (lower) solutions; Boundary conditions
Subjects: Q Science > QA Mathematics
Depositing User: Ms. Juhaida Abd Rahim
Date Deposited: 22 Feb 2022 05:36
Last Modified: 22 Feb 2022 05:36
URI: http://eprints.um.edu.my/id/eprint/26242

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