Fractional differential equations with arbitrary singularities

被引：17
|
作者：
Ghaffour, Lilia [1 ]
Dahmani, Zoubir [1 ]
机构：
[1] UMAB Mostaganem, Mostaganem, Algeria
来源：
JOURNAL OF INFORMATION & OPTIMIZATION SCIENCES | 2018年 / 39卷 / 07期
关键词：
Caputo derivative; Fixed point; Differential equation; Existence; Uniqueness; Singular function;
D O I：
10.1080/02522667.2017.1362196
中图分类号：
G25 [图书馆学、图书馆事业]; G35 [情报学、情报工作];
学科分类号：
1205 ; 120501 ;
摘要：
In this paper, we consider a class of singular fractional differential equations with two different orders of derivation, such that its right hand side has an arbitrary singularity on a certain interval of the real axis. We obtain new results on the existence and uniqueness of solutions. Some existence results are also discussed.
引用
收藏
页码：1547 / 1565
页数：19
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