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.

引用

页码：199 / 207

页数：9

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