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
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
[1]   Fractional-order differential equations with anti-periodic boundary conditions: a survey [J].
Agarwal, Ravi P. ;
Ahmad, Bashir ;
Alsaedi, Ahmed .
BOUNDARY VALUE PROBLEMS, 2017,
[2]   Existence theory for fractional differential equations with non-separated type nonlocal multi-point and multi-strip boundary conditions [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. ;
Alsaedi, Ahmed ;
Shammakh, Wafa ;
Agarwal, Ravi P. .
ADVANCES IN DIFFERENCE EQUATIONS, 2018,
[3]   Fractional differential inclusions with fractional separated boundary conditions [J].
Ahmad, Bashir ;
Ntouyas, Sotiris K. .
FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2012, 15 (03) :362-382
[4]   Existence, Uniqueness and Stability of Implicit Switched Coupled Fractional Differential Equations of ψ-Hilfer Type [J].
Ahmad, Manzoor ;
Zada, Akbar ;
Wang, Xiaoming .
INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2020, 21 (3-4) :327-337
[5]   Efficacy of Simple Eye Ointment, Polyethylene Cover, and Eyelid Taping in Prevention of Ocular Surface Disorders in Critically Ill Patients: A Randomized Clinical Trial [J].
Ahmadinejad, Mehdi ;
Karbasi, Esmat ;
Jahani, Yunes ;
Ahmadipour, Maryam ;
Soltaninejad, Maryam ;
Karzari, Zahra .
CRITICAL CARE RESEARCH AND PRACTICE, 2020, 2020
[6]  
Alam M., 2021, CHAOS, V2021, P111625
[7]   On a Coupled Impulsive Fractional Integrodifferential System with Hadamard Derivatives [J].
Alam, Mehboob ;
Zada, Akbar ;
Riaz, Usman .
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (01)
[8]   A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability [J].
Alam, Mehboob ;
Zada, Akbar ;
Popa, Ioan-Lucian ;
Kheiryan, Alireza ;
Rezapour, Shahram ;
Kaabar, Mohammed K. A. .
BOUNDARY VALUE PROBLEMS, 2021, 2021 (01)
[9]   Hyers-Ulam stability of coupled implicit fractional integro-differential equations with Riemann-Liouville derivatives [J].
Alam, Mehboob ;
Shah, Dildar .
CHAOS SOLITONS & FRACTALS, 2021, 150
[10]  
[Anonymous], 1955, Bull. Acad. Pol. Sci