Basic theory of fractional differential equations

被引：824

作者：

Lakshmikantham, V. ^{[1
]}

Vatsala, A. S. ^{[2
]}

机构：

[1] Florida Inst Technol, Dept Math Sci, Melbourne, FL 32901 USA

[2] Univ Louisiana Lafayette, Dept Math, Lafayette, LA 70504 USA

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2008年 / 69卷 / 08期

关键词：

fractional differential equations; basic theory of existence; comparison result;

D O I：

10.1016/j.na.2007.08.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

in this paper, the basic theory for the initial value problem of fractional differential equations involving Riemann-Liouville differential operators is discussed employing the classical approach. The theory of inequalities, local existence, extremal solutions, comparison result and global existence of solutions are considered. (C) 2007 Elsevier Ltd. All rights reserved.

引用

页码：2677 / 2682

页数：6

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