On the Solution Set for Weighted Fractional Differential Equations in Banach Spaces

被引：12
|
作者：
Ziane, Mohamed [1 ]
机构：
[1] Ibn Khaldoun Univ, Fac Math & Informat, BP 78, Tiaret 14000, Algeria
来源：
DIFFERENTIAL EQUATIONS AND DYNAMICAL SYSTEMS | 2020年 / 28卷 / 02期
关键词：
Fractional differential equation; Measure of noncompactness; Condensing map; R-delta-set; Topological structure;
D O I：
10.1007/s12591-016-0338-2
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The purpose of the work is to investigate the topological structure of the solution set of an initial value problems for nonlinear fractional differential equations in Banach space. We prove that the solution set of the problem is nonempty, compact and, an R-delta-set by introducing a new regular measure of noncompactness in the weighted space of continuous functions.
引用
收藏
页码：419 / 430
页数：12
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