Caputo-Fabrizio fractional differential equations with instantaneous impulses

被引：16
|
作者：
Abbas, Said [1 ]
Benchohra, Mouffak [2 ]
Nieto, Juan J. [3 ]
机构：
[1] Univ Saida Dr Moulay Tahar, Dept Math, POB 138, En Nasr 20000, Saida, Algeria
[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[3] Univ Santiago de Compostela, Dept Estat Anal Matemat & Optimizac, Inst Matemat, Santiago De Compostela, Spain
来源：
AIMS MATHEMATICS | 2021年 / 6卷 / 03期
关键词：
Fractional differential equation; Caputo-Fabrizio integral of fractional order; Caputo-Fabrizio fractional derivative; instantaneous impulse; measure of noncompactness; fixed point;
D O I：
10.3934/math.2021177
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional differential equations with instantaneous impulses. Our results are based on Schauder's and Monch's fixed point theorems and the technique of the measure of noncompactness. Two illustrative examples are the subject of the last section.
引用
收藏
页码：2932 / 2946
页数：15
相关论文
共 50 条
  • [41] On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses
    Rahou, Wafaa
    Salim, Abdelkrim
    Lazreg, Jamal Eddine
    Benchohra, Mouffak
    [J]. SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS, 2023, 20 (03): : 109 - 132
  • [42] Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses
    Hristova, Snezhana
    Ivanova, Krasimira
    [J]. FRACTAL AND FRACTIONAL, 2019, 3 (02) : 1 - 15
  • [43] Analysis of differential equations involving Caputo-Fabrizio fractional operator and its applications to reaction-diffusion equations
    Shaikh, Amjad
    Tassaddiq, Asifa
    Nisar, Kottakkaran Sooppy
    Baleanu, Dumitru
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [44] Exponential Euler scheme of multi-delay Caputo-Fabrizio fractional-order differential equations
    Zhang, Tianwei
    Li, Yongkun
    [J]. APPLIED MATHEMATICS LETTERS, 2022, 124
  • [45] A mathematical theoretical study of a particular system of Caputo-Fabrizio fractional differential equations for the Rubella disease model
    Baleanu, Dumitru
    Mohammadi, Hakimeh
    Rezapour, Shahram
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [46] A Fixed-Point Approach to the Hyers-Ulam Stability of Caputo-Fabrizio Fractional Differential Equations
    Liu, Kui
    Feckan, Michal
    Wang, JinRong
    [J]. MATHEMATICS, 2020, 8 (04)
  • [47] On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
    S Melike Aydogan
    Dumitru Baleanu
    Asef Mousalou
    Shahram Rezapour
    [J]. Advances in Difference Equations, 2017
  • [48] On approximate solutions for two higher-order Caputo-Fabrizio fractional integro-differential equations
    Aydogan, S. Melike
    Baleanu, Dumitru
    Mousalou, Asef
    Rezapour, Shahram
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
  • [49] Error estimate of the MQ-RBF collocation method for fractional differential equations with Caputo-Fabrizio derivative
    Kazemi, B. Fakhr
    Jafari, H.
    [J]. MATHEMATICAL SCIENCES, 2017, 11 (04) : 297 - 305
  • [50] On fractional integro-differential inclusions via the extended fractional Caputo-Fabrizio derivation
    Baleanu, Dumitru
    Rezapour, Shahram
    Saberpour, Zohreh
    [J]. BOUNDARY VALUE PROBLEMS, 2019, 2019 (1)
12345