Existence of Nonoscillatory Solutions for Fractional Functional Differential Equations

被引：8
|
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, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia
来源：
BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY | 2019年 / 42卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Fractional differential equations; Liouville derivative; Nonoscillatory solutions; Existence; OSCILLATION;
D O I：
10.1007/s40840-017-0511-y
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we develop sufficient criteria for the existence of a nonoscillatory solution to the fractional neutral functional differential equation of the form: where Da t is Liouville fractional derivatives of order a = 0 on the half-axis, c. R, t, si. R +, Pi. C([ t0,8), R), Fi. C(R, R), i = 1, 2,..., m, m = 1 is an integer. Our results are new and improve many known results on the integer-order functional differential equations.
引用
收藏
页码：751 / 766
页数：16
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