Existence of nonoscillatory solutions for fractional neutral differential equations

被引：48
|
作者：
Zhou, Yong [1 ,2 ]
Ahmad, Bashir [2 ]
Alsaedi, Ahmed [2 ]
机构：
[1] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
[2] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, Jeddah 21589, Saudi Arabia
来源：
APPLIED MATHEMATICS LETTERS | 2017年 / 72卷
基金：
中国国家自然科学基金;
关键词：
Fractional differential equations; Liouville derivative; Positive solutions; Existence; OSCILLATION; SYSTEM;
D O I：
10.1016/j.aml.2017.04.016
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we present sufficient conditions for the existence of nonoscillatory solutions of the following fractional neutral functional differential equation D-t(alpha)[x(t) - cx(t - T)] + Sigma(m)(i = 1) P-i(t)x(t - sigma(i)) = 0, t >= t(0), where D-t(alpha) is Liouville fractional derivatives of order alpha is an element of [1, +infinity) on the half-axis, c, T, sigma(i) is an element of (0, +infinity), P-i is an element of C([t(0), +infinity), R), m >= 1 is an integer. (C) 2017 Elsevier Ltd. All rights reserved.
引用
收藏
页码：70 / 74
页数：5
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