On Implicit Neutral Caputo Tempered Fractional Differential Equations With Retarded And Advanced Arguments

被引：0

作者：

Rahou, Wafaa ^{[1
]}

Salim, Abdelkrim ^{[2
]}

Lazreg, Jamal Eddine ^{[1
]}

Benchohra, Mouffak ^{[1
]}

机构：

[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[2] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria

来源：

APPLIED MATHEMATICS E-NOTES | 2024年 / 24卷

关键词：

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this article is to study the existence, uniqueness and Ulam stability results for a class of implicit neutral fractional differential equations involving the Caputo tempered fractional derivative with retarded and advanced arguments. The results are based on Banach's contraction principle, Schauder's and Darbo's fixed point theorems. To illustrate our results, we will give some examples.

引用

页码：160 / 179

页数：20

共 50 条

[41] Slowly varying solutions of functional differential equations with retarded and advanced arguments
Kusano, Takasi
Maric, Vojislav
GEORGIAN MATHEMATICAL JOURNAL, 2007, 14 (02) : 301 - 314
[42] Stability of Nonlinear Implicit Differential Equations with Caputo-Katugampola Fractional Derivative
Dai, Qun
Zhang, Yunying
MATHEMATICS, 2023, 11 (14)
[43] Stability Results for Nonlinear Implicit ν-Caputo Fractional Differential Equations with Fractional Integral Boundary Conditions
Kaddoura, Issam
Awad, Yahia
INTERNATIONAL JOURNAL OF DIFFERENTIAL EQUATIONS, 2023, 2023
[44] REGULARITY FOR FRACTIONAL ORDER RETARDED NEUTRAL DIFFERENTIAL EQUATIONS IN HILBERT SPACES
Cho, Seong Ho
Jeong, Jin-Mun
Kang, Yong Han
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2016, 53 (05) : 1019 - 1036
[45] On the Stability Properties of Retarded Volterra Integro-Fractional Differential Equations with Caputo Derivative
Hristova, Snezhana
Tunc, Cemil
SEVENTH INTERNATIONAL CONFERENCE ON NEW TRENDS IN THE APPLICATIONS OF DIFFERENTIAL EQUATIONS IN SCIENCES (NTADES 2020), 2021, 2321
[46] Nonlinear Integral Inequalities Involving Tempered ?-Hilfer Fractional Integral and Fractional Equations with Tempered ?-Caputo Fractional Derivative
Medved', Milan
Pospisil, Michal
Brestovanska, Eva
FRACTAL AND FRACTIONAL, 2023, 7 (08)
[47] Mixed Caputo Fractional Neutral Stochastic Differential Equations with Impulses and Variable Delay
Abouagwa, Mahmoud
Bantan, Rashad A. R.
Almutiry, Waleed
Khalaf, Anas D.
Elgarhy, Mohammed
FRACTAL AND FRACTIONAL, 2021, 5 (04)
[48] Neutral functional sequential differential equations with Caputo fractional derivative on time scales
Lazreg, Jamal Eddine
Benkhettou, Nadia
Benchohra, Mouffak
Karapinar, Erdal
FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2022, 2022 (01):
[49] Ulam-Type Stability Results for Variable Order Ψ-Tempered Caputo Fractional Differential Equations
O'Regan, Donal
Hristova, Snezhana
Agarwal, Ravi P.
FRACTAL AND FRACTIONAL, 2024, 8 (01)
[50] Oscillation of second-order trinomial differential equations with retarded and advanced arguments
Dzurina, Jozef
APPLIED MATHEMATICS LETTERS, 2024, 153

← 1 2 3 4 5 →