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

Authors :
Makhlouf, Abdellatif Ben
El-hady, El-sayed
Arfaoui, Hassen
Boulaaras, Salah
Mchiri, Lassaad
Source :
Boundary Value Problems. 1/26/2023, Vol. 2023 Issue 1, p1-8. 8p.
Publication Year :
2023

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
16872762
Volume :
2023
Issue :
1
Database :
Academic Search Index
Journal :
Boundary Value Problems
Publication Type :
Academic Journal
Accession number :
161517245
Full Text :
https://doi.org/10.1186/s13661-023-01695-5