Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

被引：50
|
作者：
Abbas, S. [1 ]
Benchohra, M. [2 ]
Lagreg, J. E. [2 ]
Alsaedi, A. [3 ]
Zhou, Y. [3 ,4 ]
机构：
[1] Univ Saida, Math Lab, POB 138, Saida 20000, Algeria
[2] Univ Djillali Liabes Sidi Bel Abbes, Math Lab, POB 89, Sidi Bel Abbes 22000, Algeria
[3] King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
[4] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China
来源：
ADVANCES IN DIFFERENCE EQUATIONS | 2017年
基金：
中国国家自然科学基金;
关键词：
functional differential equation; left-sided mixed Hadamard fractional integral; Hilfer-Hadamard fractional derivative; existence; Ulam-Hyers-Rassias stability;
D O I：
10.1186/s13662-017-1231-1
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative. An application is made of a Schauder fixed point theorem for the existence of solutions. Next we prove that our problem is generalized Ulam-Hyers-Rassias stable.
引用
收藏
页数：14
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