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FALL 2015 Asymptotic behavior of fractional order Riemann-Liouville Volterra-Stieltjes integral equations
Saïd Abbas, Mouffak Benchohra, Boualem A. Slimani, Juan J. Trujillo
J. Integral Equations Applications 27(3): 311-323 (FALL 2015). DOI: 10.1216/JIE-2015-27-3-311

Abstract

In this paper, we present some results concerning the existence and global asymptotic stability of solutions for a functional integral equation of fractional order. We use Schauder's fixed point theorem for the existence of solutions, and we prove that all these solutions are globally asymptotically stable.

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Saïd Abbas. Mouffak Benchohra. Boualem A. Slimani. Juan J. Trujillo. "Asymptotic behavior of fractional order Riemann-Liouville Volterra-Stieltjes integral equations." J. Integral Equations Applications 27 (3) 311 - 323, FALL 2015. https://doi.org/10.1216/JIE-2015-27-3-311

Information

Published: FALL 2015
First available in Project Euclid: 17 December 2015

zbMATH: 06535146
MathSciNet: MR3435802
Digital Object Identifier: 10.1216/JIE-2015-27-3-311

Subjects:
Primary: 26A33 , 45G05 , 45M10

Keywords: fixed point , global asymptotic stability , left-sided mixed Riemann-Liouville integral of fractional order , solution , Volterra-Stieltjes integral equation

Rights: Copyright © 2015 Rocky Mountain Mathematics Consortium

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Vol.27 • No. 3 • FALL 2015
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