Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias

In this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT. Finally, two...

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Autores principales: Makhlouf, Abdellatif Ben, El-hady, El-sayed, Arfaoui, Hassen, Boulaaras, Salah, Mchiri, Lassaad
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Springer International Publishing 2023
Materias:
Research
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9879255/
https://www.ncbi.nlm.nih.gov/pubmed/36718224
http://dx.doi.org/10.1186/s13661-023-01695-5
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author Makhlouf, Abdellatif Ben
El-hady, El-sayed
Arfaoui, Hassen
Boulaaras, Salah
Mchiri, Lassaad
author_facet Makhlouf, Abdellatif Ben
El-hady, El-sayed
Arfaoui, Hassen
Boulaaras, Salah
Mchiri, Lassaad
author_sort Makhlouf, Abdellatif Ben
collection PubMed
description In this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT. Finally, two illustrative examples are presented to show the validity of our results.
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spelling pubmed-98792552023-01-26 Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias Makhlouf, Abdellatif Ben El-hady, El-sayed Arfaoui, Hassen Boulaaras, Salah Mchiri, Lassaad Bound Value Probl Research In this paper, we investigate the existence and uniqueness of fractional differential equations (FDEs) by using the fixed-point theory (FPT). We discuss also the Ulam–Hyers–Rassias (UHR) stability of some generalized FDEs according to some classical mathematical techniques and the FPT. Finally, two illustrative examples are presented to show the validity of our results. Springer International Publishing 2023-01-26 2023 /pmc/articles/PMC9879255/ /pubmed/36718224 http://dx.doi.org/10.1186/s13661-023-01695-5 Text en © The Author(s) 2023 https://creativecommons.org/licenses/by/4.0/Open Access This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Research
Makhlouf, Abdellatif Ben
El-hady, El-sayed
Arfaoui, Hassen
Boulaaras, Salah
Mchiri, Lassaad
Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias
title Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias
title_full Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias
title_fullStr Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias
title_full_unstemmed Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias
title_short Stability of some generalized fractional differential equations in the sense of Ulam–Hyers–Rassias
title_sort stability of some generalized fractional differential equations in the sense of ulam–hyers–rassias
topic Research
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9879255/
https://www.ncbi.nlm.nih.gov/pubmed/36718224
http://dx.doi.org/10.1186/s13661-023-01695-5
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