Convergence Analysis of Implicit Euler Method for a Class of Nonlinear Impulsive Fractional Differential Equations

被引：3

作者：

Yu, Yuexin ^{[1
]}

Zhen, Sheng ^{[1
]}

机构：

[1] Xiangtan Univ, Sch Math & Computat Sci, Xiangtan 411105, Peoples R China

来源：

MATHEMATICAL PROBLEMS IN ENGINEERING | 2020年 / 2020卷

关键词：

EXISTENCE; STABILITY;

D O I：

10.1155/2020/8826338

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

For a class of nonlinear impulsive fractional differential equations, we first transform them into equivalent integral equations, and then the implicit Euler method is adapted for solving the problem. The convergence analysis of the method shows that the method is convergent of the first order. The numerical results verify the correctness of the theoretical results.

引用

页数：8

共 50 条

[41] Ultimate boundedness of impulsive fractional differential equations [J].

Xu, Liguang ;

Hu, Hongxiao ;

Qin, Fajin .

APPLIED MATHEMATICS LETTERS, 2016, 62 :110-117

[42] Hyers-Ulam stability analysis to implicit Cauchy problem of fractional differential equations with impulsive conditions [J].

Shah, Kamal ;

Ali, Arshad ;

Bushnaq, Samia .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (17) :8329-8343

[43] On a new class of abstract impulsive functional differential equations of fractional order [J].

Kumar, Pradeep ;

Pandey, Dwijendra N. ;

Bahuguna, D. .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (02) :102-114

[44] Solutions to a class of nonlinear differential equations of fractional order [J].

Kosmatov, Nickolai .

ELECTRONIC JOURNAL OF QUALITATIVE THEORY OF DIFFERENTIAL EQUATIONS, 2009, (20) :1-10

[45] A class of nonlinear differential equations with fractional integrable impulses [J].

Wang, JinRong ;

Zhang, Yuruo .

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2014, 19 (09) :3001-3010

[46] EIGENVALUE PROBLEM FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS [J].

Sun, Shurong ;

Zhao, Yige ;

Han, Zhenlai ;

Liu, Jian .

ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (01) :25-39

[47] Multiple positive solutions for a coupled system of nonlinear impulsive fractional differential equations with parameters [J].

Wang, Kun ;

Gong, Ping .

ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (1)

[48] The convergence and stability analysis of the Jacobi collocation method for solving nonlinear fractional differential equations with integral boundary conditions [J].

Parvizi, Maryam ;

Eslahchi, M. R. .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2016, 39 (08) :2038-2056

[49] Qualitative Investigation of Nonlinear Fractional Coupled Pantograph Impulsive Differential Equations [J].

Shah, Kamal ;

Ahmad, Israr ;

Nieto, Juan J. ;

Rahman, Ghaus Ur ;

Abdeljawad, Thabet .

QUALITATIVE THEORY OF DYNAMICAL SYSTEMS, 2022, 21 (04)

[50] Impulsive boundary value problem for nonlinear differential equations of fractional order [J].

Wang, Xuhuan .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (05) :2383-2391

← 1 2 3 4 5 →