A new problem of singular fractional differential equations

被引：10

作者：

Taieb, Amele ^{[1
]}

Dahmani, Zoubir ^{[1
]}

机构：

[1] Umab Mostaganem, Lpam, Fac Sei, Mostaganem, Algeria

来源：

JOURNAL OF DYNAMICAL SYSTEMS AND GEOMETRIC THEORIES | 2016年 / 14卷 / 02期

关键词：

30C45; 39B72; 39B82; Caputo derivative; fixed point; singular fractional differential equation; existence; uniqueness; Ulam-Hyers stability; generalized Ulam-Hyers stability;

D O I：

10.1080/1726037X.2016.1250502

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce a new class of nonlinear singular fractional differential equations. We axe interested in the singularity by using the contraction mapping principle and Schauder fixed point theorem. We present new results on the existence and uniqueness of solutions. Moreover, we investigate the Ulam-Hyers stability and the generalized Ulam-Hyers stability for this fractional equations. Some examples are provided to illustrate the application of our results.

引用

页码：165 / 187

页数：23

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