On the global existence of solutions to a class of fractional differential equations

被引：145

作者：

Baleanu, Dumitru ^{[1
,2
]}

Mustafa, Octavian G. ^{[1
]}

机构：

[1] Cankaya Univ, Dept Math & Comp Sci, TR-06530 Ankara, Turkey

[2] Inst Space Sci, Natl Inst Laser Plasma & Radiat, R-76911 Bucharest, Romania

来源：

COMPUTERS & MATHEMATICS WITH APPLICATIONS | 2010年 / 59卷 / 05期

关键词：

Fractional differential equation; Global existence of solution; Fixed point theory; EULER-LAGRANGE; FORMULATION; CALCULUS; DIFFUSION; OPERATORS; MODELS;

D O I：

10.1016/j.camwa.2009.08.028

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We present two global existence results for an initial value problem associated to a large class of fractional differential equations. Our approach differs substantially from the techniques employed in the recent literature. By introducing an easily verifiable hypothesis, we allow for immediate applications of a general comparison type result from [V. Lakshmikantham, AS. Vatsala, Basic theory of fractional differential equations, Nonlinear Anal. TMA 69 (2008), 2677-2682]. (C) 2009 Elsevier Ltd. All rights reserved.

引用

页码：1835 / 1841

页数：7

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