Controllability of coupled fractional integrodifferential equations

被引:9
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
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
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