Controllability of discrete-time semilinear Riemann-Liouville-like fractional equations

被引：8
|
作者：
Malik, Muslim [1 ]
Vijayakumar, V. [2 ]
Shukla, Anurag [3 ]
机构：
[1] Indian Inst Technol Mandi, Sch Basic Sci, Kamand 175005, Himachal Prades, India
[2] Vellore Inst Technol, Sch Adv Sci, Dept Math, Vellore 632014, Tamil Nadu, India
[3] Rajkiya Engn Coll Kannauj, Dept Appl Sci, Kannauj 209732, Uttar Pradesh, India
来源：
CHAOS SOLITONS & FRACTALS | 2023年 / 175卷
关键词：
Discrete-time; Approximate controllability; C-0-semigroups; a-Resolvent sequences; APPROXIMATE CONTROLLABILITY; DIFFERENCE-EQUATIONS; STABILITY ANALYSIS; WELL-POSEDNESS; SYSTEMS; STATE; DELAY;
D O I：
10.1016/j.chaos.2023.113959
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article utilizes the Riemann-Liouville-like fractional operator to investigate certain sufficient conditions for the approximate controllability of discrete-time fractional evolution equations. We describe our main results utilizing a sequential approach, the theory of difference equations, and the connection between a class of sequences of operators and C-0-semigroups. On the nonlinear term, we impose the Lipschitz-type condition. Finally, a few examples are provided to demonstrate how the outcomes might be used.
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页数：7
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