Existence and data-dependence theorems for fractional impulsive integro-differential system

被引：12
|
作者：
Khan, Hasib [1 ]
Khan, Zareen A. [2 ]
Tajadodi, Haleh [3 ]
Khan, Aziz [4 ]
机构：
[1] Shaheed Benazir Bhutto Univ Sheringa, Dept Math, Khybar Pakhtunkhwa 18000, Pakistan
[2] Princess Nourah Bint Abdulrahman Univ, Coll Sci, Dept Math, Riyadh, Saudi Arabia
[3] Univ Sistan & Baluchestan, Dept Math, Zahedan, Iran
[4] Prince Sultan Univ, Dept Math & Gen Sci, Riyadh 11586, Saudi Arabia
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2020年 / 2020卷 / 01期
关键词：
Fractional impulsive IDE; Banach fixed point theorem; Stability analysis; Uniqueness of solution; 26A33; 34A12; 34K40; 47H08; DIFFERENTIAL-EQUATIONS; STABILITY;
D O I：
10.1186/s13662-020-02823-6
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this article we have considered a fractional order impulsive integro-differential equation (IDE) in Caputo's sense for the unique solution and data dependence results. We take help of the Banach fixed point theory and basic literature of fractional calculus. The results are examined with the help of an expressive numerical example for an application of the results.
引用
收藏
页数：11
相关论文
共 50 条
  • [1] Existence and data-dependence theorems for fractional impulsive integro-differential system
    Hasib Khan
    Zareen A. Khan
    Haleh Tajadodi
    Aziz Khan
    Advances in Difference Equations, 2020
  • [2] Existence results of noninstantaneous impulsive fractional integro-differential equation
    Kataria, Haribhai R.
    Patel, Prakashkumar H.
    Shah, Vishant
    DEMONSTRATIO MATHEMATICA, 2020, 53 (01) : 373 - 384
  • [3] Existence and data dependence results for neutral fractional order integro-differential equations
    Vijayaraj, Veliappan
    Ravichandran, Chokkalingam
    Botmart, Thongchai
    Nisar, Kottakkaran Sooppy
    Jothimani, Kasthurisamy
    AIMS MATHEMATICS, 2022, 8 (01): : 1055 - 1071
  • [4] Existence results for sequential fractional integro-differential equations with impulsive conditions
    P. Karthikeyan
    S. Poornima
    International Journal of Dynamics and Control, 2024, 12 : 227 - 236
  • [5] Existence results for sequential fractional integro-differential equations with impulsive conditions
    Karthikeyan, P.
    Poornima, S.
    INTERNATIONAL JOURNAL OF DYNAMICS AND CONTROL, 2024, 12 (01) : 227 - 236
  • [6] EXISTENCE RESULTS FOR FRACTIONAL IMPULSIVE INTEGRO-DIFFERENTIAL EQUATIONS WITH NONLOCAL CONDITION
    Rashid, M. H. M.
    Al-Omari, A.
    JORDAN JOURNAL OF MATHEMATICS AND STATISTICS, 2013, 6 (01): : 37 - 60
  • [7] Existence of Solution for Fractional Stochastic Integro-Differential Equation with Impulsive Effect
    Nadeem, Mohd
    Dabas, Jaydev
    MATHEMATICAL ANALYSIS AND ITS APPLICATIONS, 2015, 143 : 373 - 380
  • [8] Existence of the Mild Solution to Impulsive Nonlocal Fractional Integro-Differential Equations
    Kumar S.
    Chadha A.
    Rohila R.
    International Journal of Applied and Computational Mathematics, 2024, 10 (1)
  • [9] Existence of Fractional Impulsive Functional Integro-Differential Equations in Banach Spaces
    Chalishajar, Dimplekumar
    Ravichandran, Chokkalingam
    Dhanalakshmi, Shanmugam
    Murugesu, Rangasamy
    APPLIED SYSTEM INNOVATION, 2019, 2 (02) : 1 - 17
  • [10] Existence and approximation of solution to stochastic fractional integro-differential equation with impulsive effects
    Renu Chaudhary
    Dwijendra N. Pandey
    Collectanea Mathematica, 2018, 69 : 181 - 204
12345