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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 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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Main Authors: Baitiche, Z., Derbazi, C., Alzabut, J., Samei, M.E., Kaabar, Mohammed K. A., Siri, Z.
Format: Article
Published: MDPI AG 2021
Subjects:
Q Science (General)
QA Mathematics
Online Access:http://eprints.um.edu.my/35742/
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spelling my.um.eprints.357422023-11-28T06:23:32Z http://eprints.um.edu.my/35742/ Monotone iterative method for ψ-caputo fractional differential equation with nonlinear boundary conditions Baitiche, Z. Derbazi, C. Alzabut, J. Samei, M.E. Kaabar, Mohammed K. A. Siri, Z. Q Science (General) QA Mathematics 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/). MDPI AG 2021 Article PeerReviewed 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 <https://doi.org/10.3390/fractalfract5030081>. 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 Q Science (General)
QA Mathematics
spellingShingle Q Science (General)
QA Mathematics
Baitiche, Z.
Derbazi, C.
Alzabut, J.
Samei, M.E.
Kaabar, Mohammed K. A.
Siri, Z.
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 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/).
format Article
author Baitiche, Z.
Derbazi, C.
Alzabut, J.
Samei, M.E.
Kaabar, Mohammed K. A.
Siri, Z.
author_facet Baitiche, Z.
Derbazi, C.
Alzabut, J.
Samei, M.E.
Kaabar, Mohammed K. A.
Siri, Z.
author_sort Baitiche, Z.
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
publisher MDPI AG
publishDate 2021
url http://eprints.um.edu.my/35742/
_version_ 1783876631454023680
score 13.160551

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