Existence, stability, and controllability of impulsive coupled Langevin tU-Hilfer fractional problem

被引：0
作者：
Khan, Haroon Niaz Ali [1 ,2 ]
Zada, Akbar [1 ]
Kallekh, Afef [3 ]
Popa, Ioan-Lucian [4 ,5 ]
Zhang, Jiqiang [6 ]
机构：
[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan
[2] CECOS Univ IT & Emerging Sci, Dept Basic Sci & Humanities, Peshawar, Khyber Pakhtunk, Pakistan
[3] King Khalid Univ, Fac Sci, Dept Math, Abha 61413, Saudi Arabia
[4] 1 Decembrie 1918 Univ Alba Iulia, Dept Comp Math & Elect, Alba Iulia 510009, Romania
[5] Transilvania Univ Brasov, Fac Math & Comp Sci, Iuliu Maniu St 50, Brasov 500091, Romania
[6] Anhui Sanlian Univ, Engn Dept, Hefei, Peoples R China
来源：
JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2025年 / 38卷 / 02期
关键词：
Coupled system; controllability; existence; Langevin equation; instantaneous impulsive conditions; stability; Psi-Hilfer derivative; NONLINEAR DIFFERENTIAL-EQUATIONS;
D O I：
10.22436/jmcs.038.02.01
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This paper investigates a coupled Langevin tU-Hilfer fractional problem in a Banach space with instantaneous impulsive conditions. By using the theory of fixed point theorems, we are able to obtain the uniqueness and existence results. We also talk about Ulam-Hyers stability and controllability in a similar way. In order to demonstrate the veracity of the acquired results, we also provide an example.
引用
收藏
页码：125 / 159
页数：35
相关论文
共 34 条
  • [21] Exponential stability and relative controllability of first-order delayed integro-differential systems with impulses
    Pervaiz, Bakhtawar
    Zada, Akbar
    Popa, Ioan-Lucian
    Ben Moussa, Sana
    Kallekh, Afef
    [J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2024, 47 (09) : 7590 - 7615
  • [22] Controllability of Hilfer Fractional Langevin Dynamical System with Impulse in an Abstract Weighted Space
    Radhakrishnan, B.
    Sathya, T.
    [J]. JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS, 2022, 195 (01) : 265 - 281
  • [23] Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
    Rizwan, Rizwan
    Zada, Akbar
    Wang, Xiaoming
    [J]. ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)
  • [24] Rus IA, 2010, CARPATHIAN J MATH, V26, P103
  • [25] On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis
    Waheed, Hira
    Zada, Akbar
    Popa, Ioan-Lucian
    Etemad, Sina
    Rezapour, Shahram
    [J]. QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (03)
  • [26] Controllability of coupled fractional integrodifferential equations
    Waheed, Hira
    Zada, Akbar
    Rizwan, Rizwan
    Popa, Ioan-Lucian
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2023, 24 (06) : 2113 - 2144
  • [27] Impulsive anti-periodic boundary value problem for nonlinear differential equations of fractional order
    Wang, Guotao
    Ahmad, Bashir
    Zhang, Lihong
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (03) : 792 - 804
  • [28] Controllability of Hilfer fractional Langevin evolution equations
    Wang, Haihua
    Ku, Junhua
    [J]. FRONTIERS IN APPLIED MATHEMATICS AND STATISTICS, 2023, 9
  • [29] Ulam's-Type Stability of First-Order Impulsive Differential Equations with Variable Delay in Quasi-Banach Spaces
    Wang, JinRong
    Zada, Akbar
    Ali, Wajid
    [J]. INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2018, 19 (05) : 553 - 560
  • [30] q-Fractional Langevin Differential Equation with q-Fractional Integral Conditions
    Wang, Wuyang
    Khalid, Khansa Hina
    Zada, Akbar
    Ben Moussa, Sana
    Ye, Jun
    [J]. MATHEMATICS, 2023, 11 (09)
1234