On Fractional Differential Equations with Riesz-Caputo Derivative and Non-Instantaneous Impulses

被引：2
|
作者：
Rahou, Wafaa [1 ]
Salim, Abdelkrim [1 ,2 ]
Lazreg, Jamal Eddine [1 ]
Benchohra, Mouffak [1 ]
机构：
[1] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Sidi Bel Abbes 22000, Algeria
[2] Hassiba Benbouali Univ Chlef, Fac Technol, POB 151, Chlef 02000, Algeria
来源：
SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2023年 / 20卷 / 03期
关键词：
Existence; Measure of noncompactness; Fixed point; Ulam stability; Non-instantaneous impulses; Riesz-Caputo fractional derivative; STABILITY;
D O I：
10.22130/scma.2023.563452.1186
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article deals with the existence, uniqueness and Ulam type stability results for a class of boundary value problems for fractional differential equations with Riesz-Caputo fractional derivative. The results are based on Banach contraction principle and Krasnoselskii's fixed point theorem. An illustrative example is given to validate our main results.
引用
收藏
页码：109 / 132
页数：25
相关论文
共 50 条
  • [1] NON-INSTANTANEOUS IMPULSES IN CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS
    Agarwal, Ravi
    Hristova, Snezhana
    O'Regan, Donal
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2017, 20 (03) : 595 - 622
  • [2] Non-Instantaneous Impulses in Caputo Fractional Differential Equations
    Ravi Agarwal
    Snezhana Hristova
    Donal O’Regan
    Fractional Calculus and Applied Analysis, 2017, 20 : 595 - 622
  • [3] ON IMPULSIVE IMPLICIT RIESZ-CAPUTO FRACTIONAL DIFFERENTIAL EQUATIONS WITH RETARDATION AND ANTICIPATION IN BANACH SPACES
    Rahou, Wafaa
    Salim, Abdelkrim
    Benchohra, Mouffak
    Lazreg, Jamal Eddine
    FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (03): : 535 - 558
  • [4] Existence and Stability Results for Impulsive Implicit Fractional Differential Equations with Delay and Riesz-Caputo Derivative
    Rahou, Wafaa
    Salim, Abdelkrim
    Lazreg, Jamal Eddine
    Benchohra, Mouffak
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2023, 20 (03)
  • [5] Caputo Fractional Differential Equations with Non-Instantaneous Random Erlang Distributed Impulses
    Hristova, Snezhana
    Ivanova, Krasimira
    FRACTAL AND FRACTIONAL, 2019, 3 (02) : 1 - 15
  • [6] Non-instantaneous impulses interval-valued fractional differential equations with Caputo-Katugampola fractional derivative concept
    Vu Ho
    Van Hoa Ngo
    FUZZY SETS AND SYSTEMS, 2021, 404 (404) : 111 - 140
  • [7] Caputo-Fabrizio fractional differential equations with non instantaneous impulses
    Abbas, Said
    Benchohra, Mouffak
    Nieto, Juan J.
    RENDICONTI DEL CIRCOLO MATEMATICO DI PALERMO, 2022, 71 (01) : 131 - 144
  • [8] Caputo–Fabrizio fractional differential equations with non instantaneous impulses
    Saïd Abbas
    Mouffak Benchohra
    Juan J. Nieto
    Rendiconti del Circolo Matematico di Palermo Series 2, 2022, 71 : 131 - 144
  • [9] A remark on ψ-Hilfer fractional differential equations with non-instantaneous impulses
    Van Hoa Ngo
    O'Regan, Donal
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2020, 43 (06) : 3354 - 3368
  • [10] NONLINEAR IMPLICIT GENERALIZED HILFER TYPE FRACTIONAL DIFFERENTIAL EQUATIONS WITH NON-INSTANTANEOUS IMPULSES
    Salim, Abdelkrim
    Benchohra, Mouffak
    Lazreg, Jamal eddine
    N'guerekata, Gaston
    DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (5-6): : 2234 - 2250
12345