EXISTENCE AND STABILITY FOR NONLINEAR CAPUTO-HADAMARD FRACTIONAL DELAY DIFFERENTIAL EQUATIONS

被引：0
|
作者：
Haoues, M. [1 ]
Ardjouni, A. [1 ]
Djoudi, A. [2 ]
机构：
[1] Souk Ahras Univ, Dept Math & Informat, Souk Ahras, Algeria
[2] Annaba Univ, Fac Sci, Dept Math, Annaba, Algeria
来源：
ACTA MATHEMATICA UNIVERSITATIS COMENIANAE | 2020年 / 89卷 / 02期
关键词：
Fractional delay differential equations; Caputo-Hadamard fractional derivatives; fixed point theorems; existence; uniqueness; successive approximations; Ulam-Hyers stability; E alpha-Ulam-Hyers stability;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we use the modified version of contraction mapping principle to obtain the existence and uniqueness of solutions for nonlinear Caputo-Hadamard fractional delay differential equations. We also use the method of successive approximations to show the stability of the equations. An example is given to illustrate this work.
引用
收藏
页码：225 / 242
页数：18
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