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

Abdellatif Ben Makhlouf; El-sayed El-hady; Hassen Arfaoui; Salah Boulaaras; Lassaad Mchiri

doi:10.1186/s13661-023-01695-5

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

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

Abdellatif Ben Makhlouf, El-sayed El-hady, Hassen Arfaoui, Salah Boulaaras and Lassaad Mchiri

Boundary value problems, Vol.2023(1), pp.8-8

01/01/2023

DOI: https://doi.org/10.1186/s13661-023-01695-5

PMID: 36718224

Abstract

Mathematics

Mathematics, Applied

Physical Sciences

Science & Technology

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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Title: Stability of some generalized fractional differential equations in the sense of Ulam-Hyers-Rassias
Creators - without role: Abdellatif Ben Makhlouf - Jouf Univ, Coll Sci, Math Dept, POB 2014, Sakaka, Saudi Arabia
El-sayed El-hady - Al Jouf University
Hassen Arfaoui - Al Jouf University
Salah Boulaaras - Qassim University
Lassaad Mchiri - University of Sfax
Publication Details: Boundary value problems, Vol.2023(1), pp.8-8
Publisher: Springer Nature
Number of pages: 8
Grant note: DSR2022-RG-0120 / Deanship of Scientific Research at Jouf University
Identifiers: 9912329908331
Academic Unit: Al Jouf University; Qassim University
Language: English
Resource Type: Journal article