Numerical solution of fractional Sturm-Liouville equation in integral form

被引：43

作者：

Blaszczyk, Tomasz ^{[1
]}

Ciesielski, Mariusz ^{[2
]}

机构：

[1] Czestochowa Tech Univ, Inst Math, PL-42201 Czestochowa, Poland

[2] Czestochowa Tech Univ, Inst Comp & Informat Sci, PL-42201 Czestochowa, Poland

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2014年 / 17卷 / 02期

关键词：

fractional Euler-Lagrange equation; fractional Sturm-Liouville equation; fractional integral equation; numerical solution; EULER-LAGRANGE EQUATIONS; CALCULUS; DERIVATIVES; FORMULATION; MECHANICS; MODELS;

D O I：

10.2478/s13540-014-0170-8

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper a fractional differential equation of the Euler-Lagrange/Sturm-Liouville type is considered. The fractional equation with derivatives of order alpha a (0, 1] in the finite time interval is transformed to the integral form. Next the numerical scheme is presented. In the final part of this paper examples of numerical solutions of this equation are shown. The convergence of the proposed method on the basis of numerical results is also discussed.

引用

页码：307 / 320

页数：14

共 39 条

[1] A Numerical Scheme for a Class of Parametric Problem of Fractional Variational Calculus [J].