Stability of Singular Fractional Systems of Nonlinear Integro-Differential Equations

被引：0
作者：
Amele Taïeb
机构：
[1] UMAB University of Mostaganem,LPAM, Faculty ST
来源：
Lobachevskii Journal of Mathematics | 2019年 / 40卷
关键词：
Caputo derivative; fixed point; singular fractional integro-differential equation; existence and uniqueness; Ulam-Hyers stability;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we study singular fractional systems of nonlinear integro-differential equations. We investigate the existence and uniqueness of solutions by means of Schauder fixed point theorem and using the contraction mapping principle. Moreover, we define and study the Ulam-Hyers stability and the generalized Ulam-Hyers stability of solutions. Some applications are presented to illustrate the main results.
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页码：219 / 229
页数：10
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