THE FOURTH-ORDER ORDINARY DIFFERENTIAL EQUATION WITH THE FRACTIONAL INITIAL/BOUNDARY CONDITIONS

被引：1

作者：

Siedlecki, Jaroslaw ^{[1
]}

机构：

[1] Czestochowa Tech Univ, Inst Math, Czestochowa, Poland

来源：

JOURNAL OF APPLIED MATHEMATICS AND COMPUTATIONAL MECHANICS | 2020年 / 19卷 / 01期

关键词：

fractional calculus; ordinary differential equation; analytical solution;

D O I：

10.17512/jamcm.2020.1.07

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The initial/boundary value problem for the fourth-order homogeneous ordinary differential equation with constant coefficients is considered. In this paper, the particular solutions an ordinary differential equation with respect to the set of boundary conditions are studied. At least one of the boundary conditions is described by a fractional derivative. Finally, a few illustrative examples of particular solutions to the considered problem are shown.

引用

页码：79 / 87

页数：9

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