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

被引：54

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

页数：14

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[2]

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[3]

Abbas S, 2014, ELECTRON J QUAL THEO, V2014, P51

[4]

Abbas S., 2015, Lib. Math. (N.S.), V35, P83

[5]