Ulam–Hyers and Generalized Ulam–Hyers Stability of Fractional Differential Equations with Deviating Arguments

Natalia Dilna (), Gusztáv Fekete, Martina Langerová and Balázs Tóth
Additional contact information
Natalia Dilna: Institute of Mathematics, Slovak Academy of Sciences, 814 73 Bratislava, Slovakia
Gusztáv Fekete: Department of Material Science and Technology, AUDI Hungária Faculty of Vehicle Engineering, Széchenyi István University, 9026 Győr, Hungary
Martina Langerová: Institute of Mathematics, Slovak Academy of Sciences, 814 73 Bratislava, Slovakia
Balázs Tóth: Institute of Applied Mechanics, University of Miskolc, 3515 Miskolc, Hungary

Mathematics, 2024, vol. 12, issue 21, 1-15

Abstract: In this paper, we study the initial value problem for the fractional differential equation with multiple deviating arguments. By using Krasnoselskii’s fixed point theorem, the conditions of solvability of the problem are obtained. Furthermore, we establish Ulam–Hyers and generalized Ulam–Hyers stability of the fractional functional differential problem. Finally, two examples are presented to illustrate our results, one is with a pantograph-type equation and the other is numerical.

Keywords: Caputo derivative; Krasnoselskii’s fixed point theorem; solvability; UH stability; GUH stability (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
https://www.mdpi.com/2227-7390/12/21/3418/pdf (application/pdf)
https://www.mdpi.com/2227-7390/12/21/3418/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:12:y:2024:i:21:p:3418-:d:1511747

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().