Boundary Value Problems for Nonlinear Implicit Caputo-Hadamard-Type Fractional Differential Equations with Impulses

被引：25
|
作者：
Benchohra, Mouffak [1 ,2 ]
Bouriah, Soufyane [1 ]
Graef, John R. [3 ]
机构：
[1] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria
[2] King Abdulaziz Univ, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[3] Univ Tennessee Chattanooga, Dept Math, Chattanooga, TN 37403 USA
来源：
MEDITERRANEAN JOURNAL OF MATHEMATICS | 2017年 / 14卷 / 05期
关键词：
Boundary value problem; Caputo-Hadamard fractional derivative; implicit fractional differential equations; fractional integral; existence; stability; fixed point; impulses; HYBRID SYSTEMS;
D O I：
10.1007/s00009-017-1012-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, the authors establish the existence and uniqueness of solutions for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and Caputo-Hadamard type fractional derivatives. The stability of this problem is also studied. The arguments are based on the Banach contraction principle and Schaefer's fixed point theorem. Two examples are presented to show the applicability of the results.
引用
收藏
页数：21
相关论文
共 50 条
  • [1] Boundary Value Problems for Nonlinear Implicit Caputo–Hadamard-Type Fractional Differential Equations with Impulses
    Mouffak Benchohra
    Soufyane Bouriah
    John R. Graef
    Mediterranean Journal of Mathematics, 2017, 14
  • [2] A Study of Caputo-Hadamard-Type Fractional Differential Equations with Nonlocal Boundary Conditions
    Shammakh, Wafa
    JOURNAL OF FUNCTION SPACES, 2016, 2016
  • [3] INTEGRAL BOUNDARY VALUE PROBLEMS FOR IMPLICIT FRACTIONAL DIFFERENTIAL EQUATIONS INVOLVING HADAMARD AND CAPUTO-HADAMARD FRACTIONAL DERIVATIVES
    Karthikeyan, P.
    Arul, R.
    KRAGUJEVAC JOURNAL OF MATHEMATICS, 2021, 45 (03): : 331 - 341
  • [4] Impulsive boundary value problems for nonlinear implicit Caputo-exponential type fractional differential equations
    Malti, Ahmed Ilyes N.
    Benchohra, Mouffak
    Graef, John R.
    Lazreg, Jamal Eddine
    ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2020, (78) : 1 - 17
  • [5] Boundary Value Problems for Nonlinear Fractional Differential Equations With Ψ-Caputo Fractional
    Elomari, M.
    Bourhim, F. E.
    Kassidi, A.
    El Mfadel, A.
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2024, 42 : 15 - 15
  • [6] Separated Boundary Value Problems of Sequential Caputo and Hadamard Fractional Differential Equations
    Tariboon, Jessada
    Cuntavepanit, Asawathep
    Ntouyas, Sotiris K.
    Nithiarayaphaks, Woraphak
    JOURNAL OF FUNCTION SPACES, 2018, 2018
  • [7] On boundary value problems with implicit random Caputo tempered fractional differential equations
    Bekada, Fouzia
    Salim, Abdelkrim
    Benchohra, Mouffak
    JOURNAL OF ANALYSIS, 2025, : 971 - 987
  • [8] BOUNDARY VALUE PROBLEMS FOR HADAMARD-CAPUTO IMPLICIT FRACTIONAL DIFFERENTIAL INCLUSIONS WITH NONLOCAL CONDITIONS
    Zahed, Ahmed
    Hamani, Samira
    Graef, John R.
    ARCHIVUM MATHEMATICUM, 2021, 57 (05): : 285 - 297
  • [9] ON IMPLICIT BOUNDARY VALUE PROBLEMS WITH CAPUTO TYPE MODIFICATION OF THE ERDELYI-KOBER FRACTIONAL DIFFERENTIAL EQUATIONS
    Boumaaza, M.
    Salim, A.
    Benchohra, M.
    ACTA MATHEMATICA UNIVERSITATIS COMENIANAE, 2024, 93 (03): : 157 - 169
  • [10] NONLINEAR IMPLICIT CAPUTO-HADAMARD FRACTIONAL DIFFERENTIAL EQUATION WITH FRACTIONAL BOUNDARY CONDITIONS
    Derdar, Nedjemeddine
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2022, 15 (4B): : 999 - 1014
12345