EXISTENCE AND STABILITY ANALYSIS OF SEQUENTIAL COUPLED SYSTEM OF HADAMARD-TYPE FRACTIONAL DIFFERENTIAL EQUATIONS

被引：1
|
作者：
Zada, Akbar [1 ]
Yar, Mohammad [1 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
来源：
KRAGUJEVAC JOURNAL OF MATHEMATICS | 2022年 / 46卷 / 01期
关键词：
Hadamard fractional derivative; sequential coupled system; fixed point theorem; Hyers-Ulam stability; BOUNDARY-VALUE PROBLEM; HYERS-ULAM STABILITY; UNIQUENESS; DELAY;
D O I：
10.46793/KgJMat2201.085Z
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we study existence, uniqueness and Hyers-Ulam stability for a sequential coupled system consisting of fractional differential equations of Hadamard type, subject to nonlocal Hadamard fractional integral boundary conditions. The existence of solutions is derived from Leray-Schauder's alternative, whereas the uniqueness of solution is established by Banach contraction principle. An example is also presented which illustrate our results.
引用
收藏
页码：85 / 104
页数：20
相关论文
共 50 条
  • [31] Stability Results for a Coupled System of Impulsive Fractional Differential Equations
    Zada, Akbar
    Fatima, Shaheen
    Ali, Zeeshan
    Xu, Jiafa
    Cui, Yujun
    MATHEMATICS, 2019, 7 (10)
  • [32] Analysis of Coupled System of Implicit Fractional Differential Equations Involving Katugampola-Caputo Fractional Derivative
    Ahmad, Manzoor
    Jiang, Jiqiang
    Zada, Akbar
    Shah, Syed Omar
    Xu, Jiafa
    COMPLEXITY, 2020, 2020
  • [33] On a system of fractional coupled hybrid Hadamard differential equations with terminal conditions
    Karthikeyan Buvaneswari
    Panjaiyan Karthikeyan
    Dumitru Baleanu
    Advances in Difference Equations, 2020
  • [34] On a system of fractional coupled hybrid Hadamard differential equations with terminal conditions
    Buvaneswari, Karthikeyan
    Karthikeyan, Panjaiyan
    Baleanu, Dumitru
    ADVANCES IN DIFFERENCE EQUATIONS, 2020, 2020 (01)
  • [35] Boundary Value Problems of Hadamard-Type Fractional Differential Equations and Inclusions with Nonlocal Conditions
    Ahmad B.
    Ntouyas S.K.
    Vietnam Journal of Mathematics, 2017, 45 (3) : 409 - 423
  • [36] Existence and Stability Results on Hadamard Type Fractional Time-Delay Semilinear Differential Equations
    Mahmudov, Nazim
    Al-Khateeb, Areen
    MATHEMATICS, 2020, 8 (08)
  • [37] Positive solutions for Hadamard-type fractional differential equations with nonlocal conditions on an infinite interval
    Zhai, Chengbo
    Liu, Rui
    NONLINEAR ANALYSIS-MODELLING AND CONTROL, 2024, 29 (02): : 224 - 243
  • [38] Analysis of nonlinear implicit coupled Hadamard fractional differential equations with semi-coupled Hadamard fractional integro-multipoints boundary conditions
    Riaz, Usman
    Zada, Akbar
    Khan, Ilyas
    Mohamed, Montaha Mohamed Ibrahim
    Omer, Abdoalrahman S. A.
    Singh, Abha
    Rizwan
    AIN SHAMS ENGINEERING JOURNAL, 2023, 14 (11)
  • [39] New results for higher-order Hadamard-type fractional differential equations on the half-line
    Senlik Cerdik, Tugba
    Yoruk Deren, Fulya
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (04) : 2315 - 2330
  • [40] Existence Results for a System of Coupled Hybrid Fractional Differential Equations
    Ahmad, Bashir
    Ntouyas, Sotiris K.
    Alsaedi, Ahmed
    SCIENTIFIC WORLD JOURNAL, 2014,
12345