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

页码：1547 / 1565

页数：19

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