On Hyers-Ulam Stability for Fractional Differential Equations Including the New Caputo-Fabrizio Fractional Derivative

被引：16

作者：

Basci, Yasennn ^{[1
]}

Ogrekci, Suleyman ^{[2
]}

Misir, Adil ^{[3
]}

机构：

[1] Abant Izzet Baysal Univ, Dept Math, Fac Arts & Sci, TR-14280 Bolu, Turkey

[2] Amasya Univ, Dept Math, Fac Arts & Sci, TR-05000 Amasya, Turkey

[3] Gazi Univ, Dept Math, Fac Sci, TR-06500 Ankara, Turkey

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 05期

关键词：

Fractional differential equation; the new Caputo-Fabrizio fractional derivative; Hyers-Ulam stability; laplace transform; 1ST-ORDER;

D O I：

10.1007/s00009-019-1407-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study the stability in the sense of Hyers-Ulam for the following fractional differential equations including the new Caputo-Fabrizio fractional derivative: CFD alpha y CFD alpha yx-lambda y (x) -.y (x) = f (x). Finally, two examples are given to illustrate our results.

引用

页数：14

共 50 条

[1] Hyers-Ulam Stability and Existence of Solutions for Differential Equations with Caputo-Fabrizio Fractional Derivative
Liu, Kui
Feckan, Michal
O'Regan, D.
Wang, JinRong
MATHEMATICS, 2019, 7 (04):
[2] On Hyers–Ulam Stability for Fractional Differential Equations Including the New Caputo–Fabrizio Fractional Derivative
Yasemin Başcı
Süleyman Öğrekçi
Adil Mısır
Mediterranean Journal of Mathematics, 2019, 16
[3] Hyers-Ulam stability and existence of solutions for weighted Caputo-Fabrizio fractional differential equations
Wu X.
Chen F.
Deng S.
Chaos, Solitons and Fractals: X, 2020, 5
[4] A Fixed-Point Approach to the Hyers-Ulam Stability of Caputo-Fabrizio Fractional Differential Equations
Liu, Kui
Feckan, Michal
Wang, JinRong
MATHEMATICS, 2020, 8 (04)
[5] The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative
Wang, Shuyi
JOURNAL OF FUNCTION SPACES, 2022, 2022
[6] Hyers-Ulam stability for boundary value problem of fractional differential equations with κ$$ \kappa $$-Caputo fractional derivative
Vu, Ho
Rassias, John M.
Hoa, Ngo Van
MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (01) : 438 - 460
[7] HYERS-ULAM STABILITY OF FRACTIONAL LINEAR DIFFERENTIAL EQUATIONS INVOLVING CAPUTO FRACTIONAL DERIVATIVES
Wang, Chun
Xu, Tian-Zhou
APPLICATIONS OF MATHEMATICS, 2015, 60 (04) : 383 - 393
[8] Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives
Chun Wang
Tian-Zhou Xu
Applications of Mathematics, 2015, 60 : 383 - 393
[9] On Hyers-Ulam-Rassias stability of fractional differential equations with Caputo derivative
El-hady, El-sayed
Ogrekci, Suleyman
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2021, 22 (04): : 325 - 332
[10] The differential transform of the Caputo-Fabrizio fractional derivative
Alahmad, Rami
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 33 (02): : 137 - 145

← 1 2 3 4 5 →