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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 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 lowe...

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Bibliographic Details
Main Authors: Baitiche, Zidane, Derbazi, Choukri, Alzabut, Jehad, Samei, Mohammad Esmael, Kaabar, Mohammed K. A., Siri, Zailan
Format: Article
Published: 2021
Subjects:
QA Mathematics
Online Access:http://eprints.um.edu.my/26242/
https://doi.org/10.3390/fractalfract5030081
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Summary: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.

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