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

页码：125 / 159

页数：35

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