THE SOLVABILITY AND OPTIMAL CONTROLS OF IMPULSIVE FRACTIONAL SEMILINEAR DIFFERENTIAL EQUATIONS

被引：19

作者：

Li, Xiuwen ^{[1
,4
]}

Liu, Zhenhai ^{[2
,3
,4
]}

机构：

[1] Baise Univ, Dept Math, Baise 533000, Guangxi Provinc, Peoples R China

[2] Guangxi Univ Nationalities, Guangxi Key Lab Univ Optimizat Control & Engn Cal, Nanning 530006, Guangxi Provinc, Peoples R China

[3] Guangxi Univ Nationalities, Coll Sci, Nanning 530006, Guangxi Provinc, Peoples R China

[4] Guangxi Univ Nationalities, Guangxi Key Lab Hybrid Computat & IC Design Anal, Nanning 530006, Guangxi Provinc, Peoples R China

来源：

TAIWANESE JOURNAL OF MATHEMATICS | 2015年 / 19卷 / 02期

关键词：

Impulsive differential equations; Fractional derivatives; Mild solutions; Optimal controls; INTEGRODIFFERENTIAL EQUATIONS; CONTROLLABILITY; INCLUSIONS; UNIQUENESS; EXISTENCE;

D O I：

10.11650/tjm.19.2015.3131

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we deal with the impulsive control systems of fractional order and their optimal controls in Banach spaces. We firstly show the existence and uniqueness of mild solutions for a broad class of impulsive fractional infinite dimensional control systems under suitable assumptions. Then by using generally mild conditions of cost functionals, we extend the existence result of optimal controls to the impulsive fractional control systems. Finally, a concrete application is given to illustrate the effectiveness of our main results.

引用

页码：433 / 453

页数：21

共 50 条

[21] SOLVABILITY AND OPTIMAL CONTROL OF SEMILINEAR FRACTIONAL EVOLUTION EQUATIONS WITH RIEMANN-LIOUVILLE FRACTIONAL DERIVATIVES
Xiao, Yu
Peng, Zijia
FIXED POINT THEORY, 2022, 23 (02): : 741 - 762
[22] The Solvability and Optimal Controls for Fractional Stochastic Differential Equations Driven by Poisson Jumps Via Resolvent Operators
P. Tamilalagan
P. Balasubramaniam
Applied Mathematics & Optimization, 2018, 77 : 443 - 462
[23] The Solvability and Optimal Controls for Fractional Stochastic Differential Equations Driven by Poisson Jumps Via Resolvent Operators
Tamilalagan, P.
Balasubramaniam, P.
APPLIED MATHEMATICS AND OPTIMIZATION, 2018, 77 (03): : 443 - 462
[24] Solvability and optimal controls of neutral stochastic integro-differential equations driven by fractional Brownian motion
Kasinathan, Ravikumar
Kasinathan, Ramkumar
Sandrasekaran, Varshini
JOURNAL OF CONTROL AND DECISION, 2025, 12 (01) : 93 - 100
[25] Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces
Li, Fang
Wang, Huiwen
ADVANCES IN DIFFERENCE EQUATIONS, 2014,
[26] Solvability of boundary value problems for impulsive fractional differential equations in Banach spaces
Fang Li
Huiwen Wang
Advances in Difference Equations, 2014
[27] Solvability and Optimal Controls of a Fractional Impulsive Stochastic Partial Integro-Differential Equation with State-Dependent Delay
Yan, Zuomao
Lu, Fangxia
ACTA APPLICANDAE MATHEMATICAE, 2018, 155 (01) : 57 - 84
[28] Solvability of BVPs for impulsive fractional differential equations involving the Riemann-Liouville fractional derivatives
Liu, Yuji
STUDIA UNIVERSITATIS BABES-BOLYAI MATHEMATICA, 2018, 63 (01): : 79 - 108
[29] Solvability and Optimal Controls of a Fractional Impulsive Stochastic Partial Integro-Differential Equation with State-Dependent Delay
Zuomao Yan
Fangxia Lu
Acta Applicandae Mathematicae, 2018, 155 : 57 - 84
[30] Solvability and optimal controls of impulsive Hilfer fractional delay evolution inclusions with Clarke subdifferential
Harrat, Aicha
Nieto, Juan J.
Debbouche, Amar
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2018, 344 : 725 - 737

← 1 2 3 4 5 →