Journal of Integral Equations and Applications

Weak solutions for partial Pettis Hadamard fractional integral equations with random effects

Saïd Abbas, Wafaa Albarakati, Mouffak Benchohra, and Yong Zhou

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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.

Article information

Source
J. Integral Equations Applications, Volume 29, Number 4 (2017), 473-491.

Dates
First available in Project Euclid: 10 November 2017

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1510282932

Digital Object Identifier
doi:10.1216/JIE-2017-29-4-473

Mathematical Reviews number (MathSciNet)
MR3722839

Zentralblatt MATH identifier
1384.45004

Subjects
Primary: 26A33: Fractional derivatives and integrals 45G05: Singular nonlinear integral equations 45N05: Abstract integral equations, integral equations in abstract spaces

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

Citation

Abbas, Saïd; Albarakati, Wafaa; Benchohra, Mouffak; Zhou, Yong. Weak solutions for partial Pettis Hadamard fractional integral equations with random effects. J. Integral Equations Applications 29 (2017), no. 4, 473--491. doi:10.1216/JIE-2017-29-4-473. https://projecteuclid.org/euclid.jiea/1510282932


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