STABILITY BY KRASNOSELSKII'S FIXED POINT THEOREM FOR NONLINEAR FRACTIONAL DYNAMIC EQUATIONS ON A TIME SCALE

被引：2

作者：

Belaid, Malik ^{[1
]}

Ardjouni, Abdelouaheb ^{[1
,2
]}

Boulares, Hamid ^{[3
]}

Djoudi, Ahcene ^{[1
]}

机构：

[1] Univ Annaba, Appl Math Lab, Dept Math, Fac Sci, POB 12, Annaba 23000, Algeria

[2] Univ Souk Ahras, Dept Math & Informat, POB 1553, Souk Ahras 41000, Algeria

[3] Univ Guelma, Dept Math, Guelma 24000, Algeria

来源：

HONAM MATHEMATICAL JOURNAL | 2019年 / 41卷 / 01期

关键词：

Fixed points; fractional dynamic equations; asymptotic stability; time scales; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.5831/HMJ.2019.41.1.51

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we give sufficient conditions to guarantee the asymptotic stability of the zero solution to a kind of nonlinear fractional dynamic equations of order alpha (1 < alpha < 2). By using the Krasnoselskii's fixed point theorem in a weighted Banach space, we establish new results on the asymptotic stability of the zero solution provided f (t, 0) = 0, which include and improve some related results in the literature.

引用

页码：51 / 65

页数：15

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