Oscillation criteria for a certain class of fractional order integro-differential equations

被引：4
|
作者：
Asliyuce, Serkan [1 ,2 ]
Guvenilir, A. Feza [2 ]
Zafer, Agacik [3 ,4 ]
机构：
[1] Amasya Univ, Fac Sci & Arts, Dept Math, TR-05100 Amasya, Turkey
[2] Ankara Univ, Dept Math, Fac Sci, TR-06100 Ankara, Turkey
[3] Amer Univ Middle East, Dept Math & Stat, Coll Engn & Technol, Kuwait, Kuwait
[4] Middle East Tech Univ, Dept Math, TR-06800 Ankara, Turkey
来源：
HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS | 2017年 / 46卷 / 02期
关键词：
fractional integro-differential equations; oscillation; Riemann-Liouville fractional operators; Caputo fractional derivative; DIFFERENTIAL-EQUATIONS; EXISTENCE; STABILITY;
D O I：
10.15672/HJMS.20164518619
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we shall give some new results about the oscillatory behavior of nonlinear fractional order integro-differential equations with forcing term v(t) of form D(a)(alpha)x(t) = v(t) - integral(t)(a) K(t,s)F(s,x(s))ds, 0<alpha<1, lim(t -> a+) J(a)(1-alpha) x(t) = b(1) , where v, K and F are continuous functions, b(1) is an element of R, and D-a(alpha) and J(a)(1-alpha) denote the Riemann-Liouville fractional order differential and integral operators respectively.
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页码：199 / 207
页数：9
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