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.

引用

页数：7

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