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

被引：0
|
作者：
Dilna, Natalia [1 ]
Fekete, Gusztav [2 ]
Langerova, Martina [1 ,3 ]
Toth, Balazs [4 ]
机构：
[1] Slovak Acad Sci, Math Inst, Bratislava 81473, Slovakia
[2] Szecheny Istvan Univ, AUDI Hungaria Fac Vehicle Engn, Dept Mat Sci & Technol, H-9026 Gyor, Hungary
[3] Slovak Univ Technol Bratislava, Inst Informat Engn Automat & Math, Bratislava 81237, Slovakia
[4] Univ Miskolc, Inst Appl Mech, H-3515 Miskolc, Hungary
来源：
MATHEMATICS | 2024年 / 12卷 / 21期
关键词：
Caputo derivative; Krasnoselskii's fixed point theorem; solvability; UH stability; GUH stability; EXISTENCE;
D O I：
10.3390/math12213418
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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.
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页数：15
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