Regional Controllability of Riemann-Liouville Time-Fractional Semilinear Evolution Equations

被引：3

作者：

Tajani, Asmae ^{[1
]}

El Alaoui, Fatima Zahrae ^{[1
]}

Boutoulout, Ali ^{[1
]}

机构：

[1] Moulay Ismail Univ, Fac Sci, Dept Math, Mekens, Morocco

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

关键词：

APPROXIMATE CONTROLLABILITY; BOUNDARY CONTROLLABILITY; SYSTEMS;

D O I：

10.1155/2020/5704251

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

In this paper, we discuss the exact regional controllability of fractional evolution equations involving Riemann-Liouville fractional derivative of order q is an element of 0,1. The result is obtained with the help of the theory of fractional calculus, semigroup theory, and Banach fixed-point theorem under several assumptions on the corresponding linear system and the nonlinear term. Finally, some numerical simulations are given to illustrate the obtained result.

引用

页数：7

共 50 条

[41] A class of inverse problems for evolution equations with the Riemann-Liouville derivative in the sectorial case [J].

Fedorov, Vladimir E. ;

Nagumanova, Anna V. ;

Avilovich, Anna S. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2021, 44 (15) :11961-11969

[42] Stochastic controllability of semilinear fractional control differential equations [J].

Gautam, Pooja ;

Shukla, Anurag .

CHAOS SOLITONS & FRACTALS, 2023, 174

[43] Analysis of Neutral Stochastic Fractional Differential Equations Involving Riemann-Liouville Fractional Derivative with Retarded and Advanced Arguments [J].

Saifullah, Shahid ;

Shahid, Sumbel ;

Zada, Akbar .

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2024, 23 (01)

[44] Riemann-Liouville, Caputo, and Sequential Fractional Derivatives in Differential Games [J].

Chikrii, Arkadii ;

Matychyn, Ivan .

ADVANCES IN DYNAMIC GAMES: THEORY, APPLICATIONS, AND NUMERICAL METHODS FOR DIFFERENTIAL AND STOCHASTIC GAMES: DEDICATED TO THE MEMORY OF ARIK A. MELIKYAN, 2011, 11 :61-81

[45] Approximate controll ability of Riemann-Liouville fractional differential inclusions [J].

Yang, Min ;

Wang, Qiru .

APPLIED MATHEMATICS AND COMPUTATION, 2016, 274 :267-281

[46] SOLUTION OF THE FRACTIONAL LIOUVILLE EQUATION BY USING RIEMANN-LIOUVILLE AND CAPUTO DERIVATIVES IN STATISTICAL MECHANICS [J].

Korichi, Z. ;

Souigat, A. ;

Bekhouche, R. ;

Meftah, M. T. .

THEORETICAL AND MATHEMATICAL PHYSICS, 2024, 218 (02) :336-345

[47] PROCESS-CONTROLLABILITY OF SEMILINEAR EVOLUTION EQUATIONS AND APPLICATIONS [J].

Liang, Yixing ;

Fan, Zhenbin ;

Li, Gang .

SIAM JOURNAL ON CONTROL AND OPTIMIZATION, 2023, 61 (06) :3664-3694

[48] Approximate Controllability of a Class of Semilinear Hilfer Fractional Differential Equations [J].

Bora, Swaroop Nandan ;

Roy, Bandita .

RESULTS IN MATHEMATICS, 2021, 76 (04)

[49] Generalized Taylor Series Method for Solving Nonlinear Fractional Differential Equations with Modified Riemann-Liouville Derivative [J].

Ogrekci, Suleyman .

ADVANCES IN MATHEMATICAL PHYSICS, 2015, 2015

[50] Existence of Solutions for Riemann-Liouville Fractional Dirichlet Boundary Value Problem [J].

Li, Zhiyu .

IRANIAN JOURNAL OF SCIENCE, 2025, 49 (01) :161-167

← 1 2 3 4 5 →