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.
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页码：1023 / 1042
页数：20
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