The Ulam Stability of Fractional Differential Equation with the Caputo-Fabrizio Derivative

被引:3
|
作者
Wang, Shuyi [1 ]
机构
[1] Qufu Normal Univ, Sch Math Sci, Qufu 273165, Shandong, Peoples R China
关键词
RASSIAS STABILITY; COUPLED SYSTEM;
D O I
10.1155/2022/7268518
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to establish the Ulam stability of the Caputo-Fabrizio fractional differential equation with integral boundary condition. We also present the existence and uniqueness results of the solution for the Caputo-Fabrizio fractional differential equation by Krasnoselskii's fixed point theorem and Banach fixed point theorem. Some examples are provided to illustrate our theorems.
引用
收藏
页数:9
相关论文
共 50 条
  • [31] Caputo-Fabrizio fractional differential equations with instantaneous impulses
    Abbas, Said
    Benchohra, Mouffak
    Nieto, Juan J.
    [J]. AIMS MATHEMATICS, 2021, 6 (03): : 2932 - 2946
  • [32] Solving Fractional Riccati Differential equation with Caputo- Fabrizio fractional derivative
    Abuteen, Eman
    [J]. EUROPEAN JOURNAL OF PURE AND APPLIED MATHEMATICS, 2024, 17 (01): : 372 - 384
  • [33] Analysis of Numerical Method for Diffusion Equation with Time-Fractional Caputo-Fabrizio Derivative
    Wang, Hanxiao
    Zhang, Xindong
    Luo, Ziyang
    Liu, Juan
    [J]. JOURNAL OF MATHEMATICS, 2023, 2023
  • [34] Recovering the space source term for the fractional-diffusion equation with Caputo-Fabrizio derivative
    Le Nhat Huynh
    Nguyen Hoang Luc
    Baleanu, Dumitru
    Le Dinh Long
    [J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
  • [35] NUMERICAL SOLUTION OF A FRACTIONAL COUPLED SYSTEM WITH THE CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE
    Mansouri, Ikram
    Bekkouche, Mohammed Moumen
    Ahmed, Abdelaziz Azeb
    [J]. JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS, 2023, 22 (01) : 46 - 56
  • [36] Implicit Caputo-Fabrizio fractional differential equations with delay
    Krim, Salim
    Abbas, Said
    Benchohra, Mouffak
    Nieto, Juan J.
    [J]. STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2023, 68 (04): : 727 - 742
  • [37] EXISTENCE AND UNIQUENESS OF ZAKHAROV-KUZNETSOV-BURGERS EQUATION WITH CAPUTO-FABRIZIO FRACTIONAL DERIVATIVE
    Bouteraa, Noureddine
    [J]. MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS, 2024, 92 : 59 - 67
  • [38] Generalization of Caputo-Fabrizio Fractional Derivative and Applications to Electrical Circuits
    Alshabanat, Amal
    Jleli, Mohamed
    Kumar, Sunil
    Samet, Bessem
    [J]. FRONTIERS IN PHYSICS, 2020, 8
  • [39] A NEW NUMERICAL METHOD FOR SOLVING FRACTIONAL DIFFERENTIAL EQUATIONS IN THE SENSE OF CAPUTO-FABRIZIO DERIVATIVE
    Herik, Leila Moghadam Dizaj
    Javidi, Mohammad
    Shafiee, Mahmoud
    [J]. FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2022, 37 (01): : 51 - 66
  • [40] Stability, existence, and uniqueness for solving fractional glioblastoma multiforme using a Caputo-Fabrizio derivative
    Mahdy, Amr M. S.
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023,