Generalized Jacobi spectral Galerkin method for fractional pantograph differential equation

被引：16

作者：

Yang, Changqing ^{[1
]}

Lv, Xiaoguang ^{[1
]}

机构：

[1] Jiangsu Ocean Univ, Dept Sci, Lianyungang 222005, Jiangsu, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年 / 44卷 / 01期

关键词：

Caputo derivative; convergence analysis; fractional derivatives and integrals; Galerkin method; generalized Jacobi functions; ERROR ESTIMATE; SPACE;

D O I：

10.1002/mma.6718

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This work is concerned with the extension of the Jacobi spectral Galerkin method to a class of nonlinear fractional pantograph differential equations. First, the fractional differential equation is converted to a nonlinear Volterra integral equation with weakly singular kernel. Second, we analyze the existence and uniqueness of solutions for the obtained integral equation. Then, the Galerkin method is used for solving the equivalent integral equation. The error estimates for the proposed method are also investigated. Finally, illustrative examples are presented to confirm our theoretical analysis.

引用

页码：153 / 165

页数：13

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