Ulam Stability for Delay Fractional Differential Equations with a Generalized Caputo Derivative

被引：40

作者：

Ameen, Raad ^{[1
]}

Jarad, Fahd ^{[2
]}

Abdeljawad, Thabet ^{[3
]}

机构：

[1] Selcuk Univ, Dept Math, Konya, Turkey

[2] Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey

[3] Prince Sultan Univ, Dept Math & Gen Sci, POB 66833, Riyadh 11586, Saudi Arabia

来源：

FILOMAT | 2018年 / 32卷 / 15期

关键词：

Generalized Caputo fractional derivatives; Ulam-Hyers stability; Ulam-Hyers-Rassias stability; KERNEL;

D O I：

10.2298/FIL1815265A

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The objective of this paper is to extend Ulam-Hyers stability and Ulam-Hyers-Rassias stability theory to differential equations with delay and in the frame of a certain class of a generalized Caputo fractional derivative with dependence on a kernel function. We discuss the conditions such delay generalized Caputo fractional differential equations should satisfy to be stable in the sense of Ulam-Hyers and Ulam-Hyers-Rassias. To demonstrate our results two examples are presented.

引用

页码：5265 / 5274

页数：10

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