Analysis of impulsive Caputo fractional integro-differential equations with delay

被引：0
作者：
Zada, Akbar [1 ]
Riaz, Usman [2 ]
Jamshed, Junaid [1 ]
Alam, Mehboob [3 ]
Kallekh, Afef [4 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar, Pakistan
[2] Qurtuba Univ Sci & Informat Technol, Dept Phys & Numer Sci, Peshawar, Pakistan
[3] Univ Lahore, Dept Math & Stat, Sargodha, Pakistan
[4] King Khalid Univ, Fac Sci, Dept Math, Abha, Saudi Arabia
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2025年 / 48卷 / 02期
关键词：
boundary conditions; Caputo derivative; existence; fractional order integro-differential equations; Hyers-Ulam stability; BOUNDARY-VALUE-PROBLEMS; DIFFERENTIAL-EQUATIONS; ULAM STABILITY; EXISTENCE;
D O I：
10.1002/mma.10426
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The main focus of this manuscript is to study an impulsive fractional integro-differential equation with delay and Caputo fractional derivative. The existence solution of such a class of fractional differential equations is discussed for linear and nonlinear case with the help of direct integral method. Moreover, Banach's fixed point theorem and Schaefer's fixed point theorem are use to discuss the uniqueness and at least one solution of the said fractional differential equations, respectively. Some hypothesis and inequalities are utilize to present four different types of Hyers-Ulam stability of the mentioned impulsive integro-differential equation. Example is provide for the illustration of main results.
引用
收藏
页码：2102 / 2121
页数：20
相关论文
共 38 条
[21]   Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives [J].
Matar, M. M. ;
Abbas, M. I. ;
Alzabut, J. ;
Kaabar, M. K. A. ;
Etemad, S. ;
Rezapour, S. .
ADVANCES IN DIFFERENCE EQUATIONS, 2021, 2021 (01)
[22]   Boundary value problems for fractional diffusion equations [J].
Metzler, R ;
Klafter, J .
PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, 2000, 278 (1-2) :107-125
[23]   A theoretical study of the Caputo-Fabrizio fractional modeling for hearing loss due to Mumps virus with optimal control [J].
Mohammadi, Hakimeh ;
Kumar, Sunil ;
Rezapour, Shahram ;
Etemad, Sina .
CHAOS SOLITONS & FRACTALS, 2021, 144 (144)
[24]   Fractional differential equations in electrochemistry [J].
Oldham, Keith B. .
ADVANCES IN ENGINEERING SOFTWARE, 2010, 41 (01) :9-12
[25]   Condensing Functions and Approximate Endpoint Criterion for the Existence Analysis of Quantum Integro-Difference FBVPs [J].
Rezapour, Shahram ;
Imran, Atika ;
Hussain, Azhar ;
Martinez, Francisco ;
Etemad, Sina ;
Kaabar, Mohammed K. A. .
SYMMETRY-BASEL, 2021, 13 (03)
[26]   Analysis of nonlinear implicit coupled Hadamard fractional differential equations with semi-coupled Hadamard fractional integro-multipoints boundary conditions [J].
Riaz, Usman ;
Zada, Akbar ;
Khan, Ilyas ;
Mohamed, Montaha Mohamed Ibrahim ;
Omer, Abdoalrahman S. A. ;
Singh, Abha ;
Rizwan .
AIN SHAMS ENGINEERING JOURNAL, 2023, 14 (11)
[27]   Analysis of Nonlinear Coupled Systems of Impulsive Fractional Differential Equations with Hadamard Derivatives [J].
Riaz, Usman ;
Zada, Akbar ;
Ali, Zeeshan ;
Ahmad, Manzoor ;
Xu, Jiafa ;
Fu, Zhengqing .
MATHEMATICAL PROBLEMS IN ENGINEERING, 2019, 2019
[28]   Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives [J].
Riaz, Usman ;
Zada, Akbar ;
Ali, Zeeshan ;
Cui, Yujun ;
Xu, Jiafa .
ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
[29]   Numerical Modeling of Fractional-Order Biological Systems [J].
Rihan, Fathalla A. .
ABSTRACT AND APPLIED ANALYSIS, 2013,
[30]  
Sabatier J., 2007, Advances in Fractional Calculus - Theoretical Developments and Applications in Physics and Engineering
1234