On the oscillation of fractional differential equations

被引：101

作者：

Grace, Said R. ^{[1
]}

Agarwal, Ravi P. ^{[2
]}

Wong, Patricia J. Y. ^{[3
]}

Zafer, Agacik ^{[4
]}

机构：

[1] Cairo Univ, Fac Engn, Dept Engn Math, Giza 12221, Egypt

[2] Texas A&M Univ, Dept Math, Kingsville, TX 78363 USA

[3] Nanyang Technol Univ, Sch Elect & Elect Engn, Singapore 639798, Singapore

[4] Middle E Tech Univ, Dept Math, TR-06800 Ankara, Turkey

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2012年 / 15卷 / 02期

关键词：

fractional differential equation; oscillation; Riemann-Liouville operators; Caputo derivative;

D O I：

10.2478/s13540-012-0016-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we initiate the oscillation theory for fractional differential equations. Oscillation criteria are obtained for a class of nonlinear fractional differential equations of the form D(a)(q)x + f(1)(t, x) = v(t) + f(2)(t, x), lim(t -> a+) J(a)(1-q)x(t)= b(1), where D-a(q) denotes the Riemann-Liouville differential operator of order q, 0 < q <= 1. The results are also stated when the Riemann-Liouville differential operator is replaced by Caputo's differential operator.

引用

页码：222 / 231

页数：10

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