Functional Impulsive Fractional Differential Equations Involving the Caputo-Hadamard Derivative and Integral Boundary Conditions

被引：4
|
作者：
Irguedi, Aida [1 ]
Nisse, Khadidja [1 ]
Hamani, Samira [2 ]
机构：
[1] Univ El Oued, Lab Operators Theory & PDE Fdn & Applicat, Fac Exact Sci, Dept Math, El Oued 39000, Algeria
[2] Univ Mostaganem, Lab Math Appl & Pures, BP 227, Mostaganem 27000, Algeria
来源：
INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS | 2023年 / 21卷
关键词：
fractional differential equations; Caputo-Hadamard fractional derivative; impulses; integral boundary condition; delay; fixed point theorems; EXISTENCE; OPERATORS;
D O I：
10.28924/2291-8639-21-2023-15
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we investigate the existence and uniqueness of solutions for functional impulsive fractional differential equations and integral boundary conditions. Our results are based on some fixed point theorems. Finally, we provide an example to illustrate the validity of our main results.
引用
收藏
页数：14
相关论文
共 50 条
  • [31] Solving Coupled Impulsive Fractional Differential Equations With Caputo-Hadamard Derivatives in Phase Spaces
    Hammad, Hasanen A.
    Aydi, Hassen
    Kattan, Doha A.
    INTERNATIONAL JOURNAL OF ANALYSIS AND APPLICATIONS, 2023, 21
  • [32] Functional Differential Equations Involving theψ-Caputo Fractional Derivative
    Almeida, Ricardo
    FRACTAL AND FRACTIONAL, 2020, 4 (02) : 1 - 8
  • [33] COMPARISON THEOREMS FOR CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS
    Ma, Li
    FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY, 2019, 27 (03)
  • [34] Caputo-Hadamard Fractional Differential Equations in Banach Spaces
    Saïd Abbas
    Mouffak Benchohra
    Naima Hamidi
    Johnny Henderson
    Fractional Calculus and Applied Analysis, 2018, 21 : 1027 - 1045
  • [35] CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES
    Abbas, Said
    Benchohra, Mouffak
    Hamidi, Naima
    Henderson, Johnny
    FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (04) : 1027 - 1045
  • [36] Positive solutions for Caputo fractional differential equations involving integral boundary conditions
    Wang, Yong
    Yang, Yang
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (02): : 99 - 109
  • [37] A Coupled System of Caputo-Hadamard Fractional Hybrid Differential Equations with Three-Point Boundary Conditions
    Arab, Meraa
    Awadalla, Muath
    MATHEMATICAL PROBLEMS IN ENGINEERING, 2022, 2022
  • [38] Some results for a class of delayed fractional partial differential equations with Caputo-Hadamard derivative
    Arfaoui, Hassen
    Ben Makhlouf, Abdellatif
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2023, 46 (09) : 9954 - 9965
  • [39] Caputo-Hadamard fractional differential equations with nonlocal fractional integro-differential boundary conditions via topological degree theory
    Derbazi, Choukri
    Hammouche, Hadda
    AIMS MATHEMATICS, 2020, 5 (03): : 2694 - 2709
  • [40] Lyapunov-type inequalities for differential equation with Caputo-Hadamard fractional derivative under multipoint boundary conditions
    Wang, Youyu
    Wu, Yuhan
    Cao, Zheng
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2021, 2021 (01)
12345