On the initial value problems for the Caputo-Fabrizio impulsive fractional differential equations

被引：16
|
作者：
Abbas, Mohamed, I [1 ]
机构：
[1] Alexandria Univ, Fac Sci, Dept Math & Comp Sci, Alexandria 21511, Egypt
来源：
ASIAN-EUROPEAN JOURNAL OF MATHEMATICS | 2021年 / 14卷 / 05期
关键词：
Caputo-Fabrizio fractional differential equations; impulsive differential equations; Schaefer's fixed point theorem; INTEGRODIFFERENTIAL EQUATIONS; ULAM STABILITY; EXISTENCE;
D O I：
10.1142/S179355712150073X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper is devoted to initial value problems for impulsive fractional differential equations of Caputo-Fabrizio type fractional derivative. By means of Banach's fixed point theorem and Schaefer's fixed point theorem, the existence and uniqueness results are obtained. Finally, an example is given to illustrate one of the main results.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Fully fuzzy initial value problem of Caputo-Fabrizio fractional differential equations
    Alikhani, Robab
    Ganjeh-Alamdari, Maryam
    [J]. COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS, 2023, 11 (03): : 440 - 463
  • [2] Impulsive Caputo-Fabrizio fractional differential equations in b-metric spaces
    Lazreg, Jamal Eddine
    Abbas, Said
    Benchohra, Mouffak
    Karapinar, Erdal
    [J]. OPEN MATHEMATICS, 2021, 19 (01): : 363 - 372
  • [3] Caputo-Fabrizio fractional differential equations with instantaneous impulses
    Abbas, Said
    Benchohra, Mouffak
    Nieto, Juan J.
    [J]. AIMS MATHEMATICS, 2021, 6 (03): : 2932 - 2946
  • [4] 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
  • [5] On the initial value problem for fractional Volterra integrodifferential equations with a Caputo-Fabrizio derivative
    Nguyen Huy Tuan
    Nguyen Anh Tuan
    O'Regan, Donal
    Vo Viet Tri
    [J]. MATHEMATICAL MODELLING OF NATURAL PHENOMENA, 2021, 16
  • [6] Study of implicit-impulsive differential equations involving Caputo-Fabrizio fractional derivative
    Sitthiwirattham, Thanin
    Gul, Rozi
    Shah, Kamal
    Mahariq, Ibrahim
    Soontharanon, Jarunee
    Ansari, Khursheed J.
    [J]. AIMS MATHEMATICS, 2022, 7 (03): : 4017 - 4037
  • [7] A FINITE DIFFERENCE SCHEME FOR CAPUTO-FABRIZIO FRACTIONAL DIFFERENTIAL EQUATIONS
    Guo, Xu
    Li, Yutian
    Zeng, Tieyong
    [J]. INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2020, 17 (02) : 195 - 211
  • [8] Caputo-Fabrizio fractional differential equations with non instantaneous impulses
    Abbas, Said
    Benchohra, Mouffak
    Nieto, Juan J.
    [J]. RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (01) : 131 - 144
  • [9] Analysis of Multiterm Initial Value Problems with Caputo-Fabrizio Derivative
    Al-Refai, Mohammed
    Syam, Muhammed
    [J]. JOURNAL OF MATHEMATICS, 2021, 2021
  • [10] THE EXISTENCE OF POSITIVE SOLUTIONS AND A LYAPUNOV TYPE INEQUALITY FOR BOUNDARY VALUE PROBLEMS OF THE FRACTIONAL CAPUTO-FABRIZIO DIFFERENTIAL EQUATIONS
    Toprakseven, Suayip
    [J]. SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2019, 37 (04): : 1125 - 1133
12345