On a class of differential equations with left and right fractional derivatives

被引：43

作者：

Atanackovic, T. M.

Stankovic, B.

机构：

[1] Univ Novi Sad, Fac Tech Sci, Novi Sad 21000, Serbia

[2] Univ Novi Sad, Dept Math, Novi Sad 21000, Serbia

来源：

ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK | 2007年 / 87卷 / 07期

关键词：

tight and left Riemann-Liouville fractional derivative; fractional differential equations;

D O I：

10.1002/zamm.200710335

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We treat fractional order differential equations that contain left and right Riemann-Liouville fractional derivatives. Such equations arise as the Euler-Lagrange equation in variational principles with fractional derivatives. We find solutions of such equations or construct corresponding integral equations. (c) 2007 WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim.

引用

页码：537 / 546

页数：10

共 31 条

[1] Fractional variational calculus and the transversality conditions [J].