Controllability of coupled fractional integrodifferential equations

被引：8

作者：

Waheed, Hira ^{[1
]}

Zada, Akbar ^{[1
]}

Rizwan, Rizwan ^{[2
]}

Popa, Ioan-Lucian ^{[3
]}

机构：

[1] Univ Peshawar, Dept Math, Peshawar 25000, Pakistan

[2] Univ Buner, Dept Math, Buner, Pakistan

[3] 1 Decembrie 1918 Univ Alba Iulia, Dept Math, Alba Iulia, Romania

来源：

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION | 2023年 / 24卷 / 06期

关键词：

controllability; coupled system; existence; instantaneous impulsive conditions; integrodifferential equations; Liouville-Caputo derivative; stability; PULSE VACCINATION; DIFFERENTIAL-EQUATION; EPIDEMIC MODEL; STABILITY; EXISTENCE; ORDER;

D O I：

10.1515/ijnsns-2022-0015

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this article, we examine a coupled system of fractional integrodifferential equations of Liouville-Caputo form with instantaneous impulsive conditions in a Banach space. We obtain the existence and uniqueness results by applying the theory of fixed point theorems. In a similar manner, we discuss Hyers-Ulam stability and controllability. We also present an example to show the validity of the obtained results.

引用

收藏

页码：2113 / 2144

页数：32

相关论文

共 50 条

[11] Complete Controllability of Fractional Impulsive Multivalued Stochastic Partial Integrodifferential Equations with State-Dependent Delay [J].

Yan, Zuomao ;

Lu, Fangxia .

INTERNATIONAL JOURNAL OF NONLINEAR SCIENCES AND NUMERICAL SIMULATION, 2017, 18 (3-4) :197-220

[12] Controllability of impulsive fractional damped integrodifferential systems with distributed delays [J].

Arthi, G. ;

Sivasangari, R. .

EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS, 2024,

[13] Controllability of fractional noninstantaneous impulsive integrodifferential stochastic delay system [J].

Priyadharsini, J. ;

Balasubramaniam, P. .

IMA JOURNAL OF MATHEMATICAL CONTROL AND INFORMATION, 2021, 38 (02) :654-683

[14] Controllability of fractional integrodifferential systems in Banach spaces [J].

Balachandran, K. ;

Park, J. Y. .

NONLINEAR ANALYSIS-HYBRID SYSTEMS, 2009, 3 (04) :363-367

[15] New results on controllability in the framework of fractional integrodifferential equations with nondense domain [J].

Jothimani, K. ;

Kaliraj, K. ;

Hammouch, Zakia ;

Ravichandran, C. .

EUROPEAN PHYSICAL JOURNAL PLUS, 2019, 134 (09)

[16] Wellposedness and controllability results of stochastic integrodifferential equations with noninstantaneous impulses and Rosenblatt process [J].

Kasinathan, Ravikumar ;

Kasinathan, Ramkumar ;

Sandrasekaran, Varshini ;

Nieto, Juan J. .

FIXED POINT THEORY AND ALGORITHMS FOR SCIENCES AND ENGINEERING, 2023, 2023 (01)

[17] Fast-time complete controllability of nonlinear fractional delay integrodifferential evolution equations with nonlocal conditions and a parameter [J].

Zhao, Daliang ;

Liu, Yansheng ;

Li, Haitao .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (10) :5649-5669

[18] Approximate Controllability via Resolvent Operators of Sobolev-Type Fractional Stochastic Integrodifferential Equations with Fractional Brownian Motion and Poisson Jumps [J].

Ahmed, Hamdy M. .

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2019, 45 (04) :1045-1059

[19] New results on controllability analysis of nonlinear fractional order integrodifferential Langevin system with multiple delays [J].

Kaushik, Kirti ;

Kumar, Anoop ;

Karthikeyan, K. ;

Khan, Aziz ;

Abdeljawad, Thabet .

RESULTS IN CONTROL AND OPTIMIZATION, 2024, 14

[20] Controllability for some integrodifferential equations driven by vector measures [J].

Dieye, Moustapha ;

Diop, Mamadou Abdoul ;

Ezzinbi, Khalil .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2017, 40 (06) :2090-2106

← 1 2 3 4 5 →