Boundary Controllability of Riemann-Liouville Fractional Semilinear Evolution Systems

被引：0

作者：

Tajani, Asmae ^{[1
]}

El Alaoui, Fatima-Zahrae ^{[1
]}

机构：

[1] Moulay Ismail Univ, Fac Sci, TSI Team, Meknes 11201, Morocco

来源：

JOURNAL OF OPTIMIZATION THEORY AND APPLICATIONS | 2023年 / 198卷 / 02期

关键词：

Riemann-Liouville fractional derivative; Semilinear equations; Diffusion system; Regional controllability; Fixed point theorem; DIFFERENTIAL-EQUATIONS; NULL CONTROLLABILITY; SUBDIFFUSION;

D O I：

10.1007/s10957-023-02248-7

中图分类号：

C93 [管理学]; O22 [运筹学];

学科分类号：

070105 ; 12 ; 1201 ; 1202 ; 120202 ;

摘要：

The main objective of this work is to steer a semilinear time-fractional diffusion control system involving Riemann-Liouville fractional derivative to a desired state in a part of the boundary of the evolution domain. For that, we use fixed point technique, semigroup theory and fractional calculus under some proposed assumptions in the linear part of the system and the nonlinear term. At the end, we provide some numerical simulations which lead to successful figures, in order to guarantee the efficiency of the proposed approach.

引用

页码：767 / 780

页数：14

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