Haar wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations

被引：241

作者：

Li, Yuanlu ^{[1
]}

Zhao, Weiwei ^{[2
]}

机构：

[1] Nanjing Univ Informat Sci & Technol, Inst Informat & Syst Sci, Nanjing 210044, Peoples R China

[2] Nanjing Univ Informat Sci & Technol, Sch Informat & Control, Nanjing 210044, Peoples R China

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2010年 / 216卷 / 08期

关键词：

Operational matrix; Haar wavelet; Fractional calculus; Fractional order differential equations; NUMERICAL-SOLUTION; TRANSFORM METHOD; INTEGRODIFFERENTIAL EQUATIONS; LINEAR-SYSTEMS; FREDHOLM; SERIES;

D O I：

10.1016/j.amc.2010.03.063

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Haar wavelet operational matrix has been widely applied in system analysis, system identification, optimal control and numerical solution of integral and differential equations. In the present paper we derive the Haar wavelet operational matrix of the fractional order integration, and use it to solve the fractional order differential equations including the Bagley-Torvik, Ricatti and composite fractional oscillation equations. The results obtained are in good agreement with the existing ones in open literatures and it is shown that the technique introduced here is robust and easy to apply. Crown Copyright (C) 2010 Published by Elsevier Inc. All rights reserved.

引用

页码：2276 / 2285

页数：10

共 50 条

[1] Bernoulli wavelet operational matrix of fractional order integration and its applications in solving the fractional order differential equations
Keshavarz, E.
Ordokhani, Y.
Razzaghi, M.
[J]. APPLIED MATHEMATICAL MODELLING, 2014, 38 (24) : 6038 - 6051
[2] Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations
Wang, Yanxin
Yin, Tianhe
Zhu, Li
[J]. ADVANCES IN DIFFERENCE EQUATIONS, 2017,
[3] Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations
Yanxin Wang
Tianhe Yin
Li Zhu
[J]. Advances in Difference Equations, 2017
[4] Muntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
Rahimkhani, P.
Ordokhani, Y.
Babolian, E.
[J]. NUMERICAL ALGORITHMS, 2018, 77 (04) : 1283 - 1305
[5] Müntz-Legendre wavelet operational matrix of fractional-order integration and its applications for solving the fractional pantograph differential equations
P. Rahimkhani
Y. Ordokhani
E. Babolian
[J]. Numerical Algorithms, 2018, 77 : 1283 - 1305
[6] Haar wavelet operational matrix method for the numerical solution of fractional order differential equations
Department of Mathematics, University of Kashmir, South Campus Anantnag, Jammu and Kashmir
192 101, India
不详
185234, India
[J]. Nonlenier Eng., 4 (203-213):
[7] Haar Wavelet Operational Matrix Method for Solving Fractional Partial Differential Equations
Yi, Mingxu
Chen, Yiming
[J]. CMES-COMPUTER MODELING IN ENGINEERING & SCIENCES, 2012, 88 (03): : 229 - 243
[8] The Linear B-Spline Scaling Function Operational Matrix of Fractional Integration and Its Applications in Solving Fractional-Order Differential Equations
Saeedi, Habibollah
[J]. IRANIAN JOURNAL OF SCIENCE AND TECHNOLOGY TRANSACTION A-SCIENCE, 2017, 41 (A3): : 723 - 733
[9] The Linear B-Spline Scaling Function Operational Matrix of Fractional Integration and Its Applications in Solving Fractional-Order Differential Equations
Habibollah Saeedi
[J]. Iranian Journal of Science and Technology, Transactions A: Science, 2017, 41 : 723 - 733
[10] A new operational matrix for solving fractional-order differential equations
Saadatmandi, Abbas
Dehghan, Mehdi
[J]. COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (03) : 1326 - 1336

← 1 2 3 4 5 →