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
收藏
页码：51 / 65
页数：15
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