A COMPUTATIONAL APPROACH FOR THE SOLUTION OF A CLASS OF VARIABLE-ORDER FRACTIONAL INTEGRO-DIFFERENTIAL EQUATIONS WITH WEAKLY SINGULAR KERNELS

被引：56

作者：

Moghaddam, Behrouz Parsa ^{[1
]}

Tenreiro Machado, Jose Antonio ^{[2
]}

机构：

[1] Islamic Azad Univ, Lahijan Branch, Dept Math, Lahijan, Iran

[2] Inst Engn, Dept Elect Engn, Rua Dr Antonio Bernardino de Almeida 431, P-4249015 Oporto, Portugal

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2017年 / 20卷 / 04期

关键词：

variable-order fractional calculus; spline approximation; finite difference approximation; convergence order; weakly singular integro-differential equation; NUMERICAL APPROXIMATIONS; DIFFERENTIAL-EQUATION; DERIVATIVES; ALGORITHMS; CALCULUS; SYSTEMS; SCW;

D O I：

10.1515/fca-2017-0053

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new computational approach for approximating of variable-order fractional derivatives is proposed. The technique is based on piecewise cubic spline interpolation. The method is extended to a class of nonlinear variable-order fractional integro-differential equation with weakly singular kernels. Illustrative examples are discussed, demonstrating the performance of the numerical scheme.

引用

页码：1023 / 1042

页数：20

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