Open Access
2017 Weak solutions for partial Pettis Hadamard fractional integral equations with random effects
Saïd Abbas, Wafaa Albarakati, Mouffak Benchohra, Yong Zhou
J. Integral Equations Applications 29(4): 473-491 (2017). DOI: 10.1216/JIE-2017-29-4-473

Abstract

In this article, we apply M\"onch and Engl's fixed point theorems associated with the technique of measure of weak noncompactness to investigate the existence of random solutions for a class of partial random integral equations via Hadamard's fractional integral, under the Pettis integrability assumption.

Citation

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Saïd Abbas. Wafaa Albarakati. Mouffak Benchohra. Yong Zhou. "Weak solutions for partial Pettis Hadamard fractional integral equations with random effects." J. Integral Equations Applications 29 (4) 473 - 491, 2017. https://doi.org/10.1216/JIE-2017-29-4-473

Information

Published: 2017
First available in Project Euclid: 10 November 2017

zbMATH: 1384.45004
MathSciNet: MR3722839
Digital Object Identifier: 10.1216/JIE-2017-29-4-473

Subjects:
Primary: 26A33 , 45G05 , 45N05

Keywords: measure of weak noncompactness , partial Pettis Hadamard fractional integral , Random functional integral equation , Random solution

Rights: Copyright © 2017 Rocky Mountain Mathematics Consortium

Vol.29 • No. 4 • 2017
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