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

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

Abstract 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. Fina...

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Bibliographic Details
Main Authors: Abdellatif Ben Makhlouf, El-sayed El-hady, Hassen Arfaoui, Salah Boulaaras, Lassaad Mchiri
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:Boundary Value Problems
Subjects:
Hyers–Ulam–Rassias stability
Generalized fractional differential equation
Fixed-point theory
Online Access:https://doi.org/10.1186/s13661-023-01695-5
Description
Summary:Abstract 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.
ISSN:1687-2770

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