ANALYTIC APPROXIMATE SOLUTIONS FOR A CLASS OF VARIABLE ORDER FRACTIONAL DIFFERENTIAL EQUATIONS USING THE POLYNOMIAL LEAST SQUARES METHOD

被引：12

作者：

Bota, Constantin ^{[1
]}

Caruntu, Bogdan ^{[1
]}

机构：

[1] Politehn Univ Timisoara, Dept Math, P Ta Victoriei 2, Timisoara 300006, Romania

来源：

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

关键词：

nonlinear variable order fractional differential equation; approximate analytic polynomial solution; Polynomial Least Squares Method; BOUNDARY-VALUE-PROBLEMS; DERIVATIVE MODEL;

D O I：

10.1515/fca-2017-0054

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a new way to compute analytic approximate polynomial solutions for a class of nonlinear variable order fractional differential equations is proposed, based on the Polynomial Least Squares Method (PLSM). In order to emphasize the accuracy and the efficiency of the method several examples are included.

引用

页码：1043 / 1050

页数：8

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