Coupled Hilfer fractional differential systems with random effects

被引:3
|
作者
Abbas, Said [1 ]
Benchohra, Mouffak [2 ]
Zhou, Yong [3 ,4 ]
机构
[1] Tahar Moulay Univ Saida, Lab Math Geometry Anal Control & Applicat, Saida, Algeria
[2] Djillali Liabes Univ Sidi Bel Abbes, Lab Math, Sidi Bel Abbes, Algeria
[3] Macau Univ Sci & Technol, Fac Informat Technol, Macau, Peoples R China
[4] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan, Peoples R China
基金
中国国家自然科学基金;
关键词
Functional differential equation; Left-sided mixed Riemann-Liouville integral of fractional order; Left-sided mixed Hadamard integral of fractional order; Hilfer fractional derivative; Hilfer-Hadamard fractional derivative; Coupled system; Random solution; Fixed point; EQUATIONS; EXISTENCE; HADAMARD; INCLUSIONS;
D O I
10.1186/s13662-018-1832-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
This paper deals with some existence results for two classes of coupled systems of Hilfer and Hilfer-Hadamard random fractional differential equations. The main tool used to carry out our results is Itoh's random fixed point theorem.
引用
收藏
页数:12
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