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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Detalles Bibliográficos
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
Descripción
Sumario: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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