Numerical solution of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order by Bernoulli wavelets

被引：0

作者：

Keshavarz, Elham ^{[1
]}

Ordokhani, Yadollah ^{[1
]}

Razzaghi, Mohsen ^{[2
]}

机构：

[1] Alzahra Univ, Fac Math Sci, Dept Math, Tehran, Iran

[2] Mississippi State Univ, Dept Math & Stat, Mississippi State, MS 39762 USA

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2019年 / 7卷 / 02期

基金：

美国国家科学基金会;

关键词：

Bernoulli wavelets; Fractional calculus; Fredholm-Volterra integro-differential equations; Caputo derivative; Operational matrix; HOMOTOPY-PERTURBATION; OPERATIONAL MATRICES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, a numerical method for solving a class of nonlinear mixed Fredholm-Volterra integro-differential equations of fractional order is presented. The method is based upon Bernoulli wavelets approximations. The operational matrix of fractional order integration for Bernoulli wavelets is utilized to reduce the solution of the nonlinear fractional integro-differential equations to system of algebraic equations. Illustrative examples are included to demonstrate the efficiency and accuracy of the method.

引用

页码：163 / 176

页数：14

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