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

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

Abstract 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.

Bibliographic Details
Main Authors: Saïda Abbas, Mouffak Benchohra, Yong Zhou, Ahmed Alsaedi
Format: Article
Language:English
Published: SpringerOpen 2017-10-01
Series:Advances in Difference Equations
Subjects:
functional integral equation
coupled system
partial Pettis-Hadamard fractional integral
measure of weak noncompactness
weak solution
Online Access:http://link.springer.com/article/10.1186/s13662-017-1391-z
Description
Summary:Abstract 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.
ISSN:1687-1847

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