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
收藏
页数：14
相关论文
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] Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives
    Chun Wang
    Tian-Zhou Xu
    Applications of Mathematics, 2015, 60 : 383 - 393
  • [6] 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
  • [7] 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
  • [8] 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
  • [9] Hyers-Ulam Stability and Existence of Solutions to the Generalized Liouville-Caputo Fractional Differential Equations
    Liu, Kui
    Feckan, Michal
    Wang, Jinrong
    SYMMETRY-BASEL, 2020, 12 (06):
  • [10] The differential transform of the Caputo-Fabrizio fractional derivative
    Alahmad, Rami
    JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS, 2024, 33 (02): : 137 - 145
12345