On Existence and Stability Results for Nonlinear Fractional Delay Differential Equations

被引：35

作者：

Kucche, Kishor D. ^{[1
]}

Sutar, Sagar T. ^{[2
]}

机构：

[1] Shivaji Univ, Dept Math, Kolhapur 416004, Maharashtra, India

[2] Raje Ramrao Mahavidyalaya, Dept Math, Sangli 416404, Maharashtra, India

来源：

BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA | 2018年 / 36卷 / 04期

关键词：

Fractional delay differential equation; Fixed point theorem; Existence and uniqueness; Successive approximation; Ulam-Hyers stability; E-alpha-Ulam-Hyers stability;

D O I：

10.5269/bspm.v36i4.33603

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We establish existence and uniqueness results for fractional order delay differential equations. It is proved that successive approximation method can also be successfully applied to study Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability, generalized Ulam-Hyers-Rassias stability, E-alpha-Ulam-Hyers stability and generalized E-alpha-Ulam-Hyers stability of fractional order delay differential equations.

引用

页码：55 / 75

页数：21

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