Weak solutions for a coupled system of Pettis-Hadamard fractional differential equations

被引：6

作者：

Abbas, Saida ^{[1
]}

Benchohra, Mouffak ^{[2
]}

Zhou, Yong ^{[3
,4
]}

Alsaedi, Ahmed ^{[4
]}

机构：

[1] Univ Saida, Lab Math, POB 138, Saida 20000, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Lab Math, POB 89, Sidi Bel Abbes 22000, Algeria

[3] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China

[4] King Abdulaziz Univ, NAAM Res Grp, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia

来源：

ADVANCES IN DIFFERENCE EQUATIONS | 2017年

基金：

中国国家自然科学基金;

关键词：

functional integral equation; coupled system; partial Pettis-Hadamard fractional integral; measure of weak noncompactness; weak solution; BANACH-SPACES; EVOLUTION-EQUATIONS; EXISTENCE; INCLUSIONS;

D O I：

10.1186/s13662-017-1391-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, by applying the technique of measure of weak noncompactness and Monch's fixed point theorem, we investigate the existence of weak solutions under the Pettis integrability assumption for a coupled system of Hadamard fractional differential equations.

引用

页数：11

共 35 条

[1]

Abbas S, 2015, ADV FRACTIONAL DIFFE

[2]

ABBAS S, 2015, ADV DYN SYST APPL, V10, P97

[3] Fractional order integral equations of two independent variables [J].