EXISTENCE AND UNIQUENESS FOR FRACTIONAL ORDER FUNCTIONAL DIFFERENTIAL EQUATIONS WITH HILFER DERIVATIVE

被引：6
|
作者：
Karakoc, Fatma [1 ]
机构：
[1] Ankara Univ, Fac Sci, Dept Math, TR-06100 Ankara, Turkey
来源：
DIFFERENTIAL EQUATIONS & APPLICATIONS | 2020年 / 12卷 / 04期
关键词：
Hilfer fractional derivative; delay differential equation; neutral differential equation; Banach fixed point theorem; INITIAL-VALUE PROBLEMS; CAUCHY-TYPE PROBLEMS; CALCULUS; SYSTEMS;
D O I：
10.7153/dea-2020-12-21
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate fractional order delay and neutral differential equations. By using Banach fixed point theorem we establish existence and uniqueness of the solutions for fractional order functional differential equations involving Hiller fractional derivative in the weighted spaces.
引用
收藏
页码：323 / 336
页数：14
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