A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators

被引：0
作者：
Velusamy Vijayakumar
Anurag Shukla
Kottakkaran Sooppy Nisar
Wasim Jamshed
Shahram Rezapour
机构：
[1] Vellore Institute of Technology,Department of Mathematics, School of Advanced Sciences
[2] Rajkiya Engineering College,Department of Applied Sciences
[3] Prince Sattam bin Abdulaziz University,Department of Mathematics, College of Arts and Sciences
[4] Capital University of Science and Technology (CUST),Department of Mathematics
[5] Azarbaijan Shahid Madani University,Department of Mathematics
[6] China Medical University,Department of Medical Research, China Medical University Hospital
来源：
Advances in Difference Equations | / 2021卷
关键词：
Approximate controllability; Gronwall’s inequality; Resolvent operators; Second-order integro-differential systems; 34K30; 34K40; 47H08; 47H10;
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摘要：
The approximate controllability of second-order integro-differential evolution control systems using resolvent operators is the focus of this work. We analyze approximate controllability outcomes by referring to fractional theories, resolvent operators, semigroup theory, Gronwall’s inequality, and Lipschitz condition. The article avoids the use of well-known fixed point theorem approaches. We have also included one example of theoretical consequences that has been validated.
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