Approximate Controllability for Weighted Semilinear Riemann-Liouville Fractional Differential Systems with Infinite Delay

被引：2

作者：

Mokkedem, Fatima Zahra ^{[1
]}

机构：

[1] Univ Tlemcen, Abou Bekr Belkaid Univ, Lab Syst Dynam & Applicat, Tilimsen 13000, Algeria

来源：

DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2023年 / 31卷 / 04期

关键词：

Approximate controllability; Riemann-Liouville fractional derivatives; alpha-Mild solutions; Weighted fractional equations; Infinite delay; EQUATIONS; EXISTENCE;

D O I：

10.1007/s12591-020-00521-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This manuscript is about infinite-delayed semilinear fractional differential systems. The considered system is of weighted type so that the initial condition may be non null at time zero. The principle contribution is the approximate controllability of the considered system. The state space is not required to be reflexive and the non linear function is not supposed to be Lipschitz. More than that, the nonlinear function in this work can involve spatial derivatives which enlarges the area of application of the obtained result.

引用

页码：709 / 727

页数：19

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