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

Advances in Difference Equations

Sada Abbas²  Ahmed Alsaedi³  Yong Zhou⁵  Mouffak Benchohra⁶ 

[1] Faculty of Mathematics and Computational Science, Xiangtan University, Hunan, P.R. China;Laboratory of Mathematics, University of SaïLaboratory of Mathematics, University of Sidi Bel-Abbes, Sidi Bel-AbbèNonlinear Analysis and Applied Mathematics (NAAM) Research Group, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;da, Algeria;da, Saïs, Algeria

关键词: functional integral equation;    coupled system;    partial Pettis-Hadamard fractional integral;    measure of weak noncompactness;    weak solution;    26A33;    35H10;    35D30;   

DOI  :  10.1186/s13662-017-1391-z

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, by applying the technique of measure of weak noncompactness and Mönch’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.

【 授权许可】

CC BY