Weak solutions for partial Pettis Hadamard fractional integral equations with random effects
type: Item
instance of: scholarly article
title: Weak solutions for partial Pettis Hadamard fractional integral equations with random effects
zbMATH Open document ID: 1384.45004
DOI: 10.1216/JIE-2017-29-4-473
author: Said Abbas
author: Mouffak Benchohra
author: Yong Zhou
author: Wafaa Albarakati
published in: Journal of Integral Equations and Applications
publication date: 2018-02-20T00:00:00Z
full work available at URL: https://projecteuclid.org/euclid.jiea/1510282932
review text: Section 1 of the paper under review, explores the methodology and techniques of measure of weak non-compactness in order to investigate the existence of random solutions for a class of partial integral equations invoking Hadamard's fractional integral. Interesting to note that a comprehensive text explaining the terminologies and definitions for the Pettis integrable function, mixed Pettis-Hadamard integral together with their properties are enumerated. Two fixed point theorems, called Münch and Engl's fixed point theorems, are proved and by invoking them with the technique of measure of weak compactness, in Section 3 existence of random solution of Hadamard partial fractional integral equation (1.1) for the Pettis integrability assumption is investigated. Finally, in the last section, having considered partial random Hadamard integral equation it is established that such equations has at least one random solution.
reviewed by: Deshna Loonker
Mathematics Subject Classification ID: 45G05
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 45N05
zbMATH DE Number: 6841171
zbMATH Keywords: measure of weak non-compactness
zbMATH Keywords: partial integral equation
zbMATH Keywords: Pettis-Hadamard fractional integral
zbMATH Keywords: random solution
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 6841171