On the oscillation of fractional differential equations

被引：107
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
收藏
页码：222 / 231
页数：10
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