Cover Image

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...

Full description

Saved in:
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
Tags: Add Tag
No Tags, Be the first to tag this record!
id my.um.eprints.26242
record_format eprints
spelling my.um.eprints.262422022-02-22T05:36:49Z http://eprints.um.edu.my/26242/ Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions Baitiche, Zidane Derbazi, Choukri Alzabut, Jehad Samei, Mohammad Esmael Kaabar, Mohammed K. A. Siri, Zailan QA Mathematics 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. 2021-09 Article PeerReviewed 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 <https://doi.org/10.3390/fractalfract5030081>. https://doi.org/10.3390/fractalfract5030081 doi:10.3390/fractalfract5030081
institution Universiti Malaya
building UM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Malaya
content_source UM Research Repository
url_provider http://eprints.um.edu.my/
topic QA Mathematics
spellingShingle QA Mathematics
Baitiche, Zidane
Derbazi, Choukri
Alzabut, Jehad
Samei, Mohammad Esmael
Kaabar, Mohammed K. A.
Siri, Zailan
Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions
description 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.
format Article
author Baitiche, Zidane
Derbazi, Choukri
Alzabut, Jehad
Samei, Mohammad Esmael
Kaabar, Mohammed K. A.
Siri, Zailan
author_facet Baitiche, Zidane
Derbazi, Choukri
Alzabut, Jehad
Samei, Mohammad Esmael
Kaabar, Mohammed K. A.
Siri, Zailan
author_sort Baitiche, Zidane
title Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions
title_short Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions
title_full Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions
title_fullStr Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions
title_full_unstemmed Monotone iterative method for ψ-Caputo fractional differential equation with nonlinear boundary conditions
title_sort monotone iterative method for ψ-caputo fractional differential equation with nonlinear boundary conditions
publishDate 2021
url http://eprints.um.edu.my/26242/
https://doi.org/10.3390/fractalfract5030081
_version_ 1735409389879164928
score 13.211853

Similar Items