Journal of Integral Equations and Applications

Asymptotic behavior of fractional order Riemann-Liouville Volterra-Stieltjes integral equations

Saïd Abbas, Mouffak Benchohra, Boualem A. Slimani, and Juan J. Trujillo

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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.

Article information

Source
J. Integral Equations Applications, Volume 27, Number 3 (2015), 311-323.

Dates
First available in Project Euclid: 17 December 2015

Permanent link to this document
https://projecteuclid.org/euclid.jiea/1450388937

Digital Object Identifier
doi:10.1216/JIE-2015-27-3-311

Mathematical Reviews number (MathSciNet)
MR3435802

Zentralblatt MATH identifier
06535146

Subjects
Primary: 26A33: Fractional derivatives and integrals 45G05: Singular nonlinear integral equations 45M10: Stability theory

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

Citation

Abbas, Saïd; Benchohra, Mouffak; Slimani, Boualem A.; Trujillo, Juan J. Asymptotic behavior of fractional order Riemann-Liouville Volterra-Stieltjes integral equations. J. Integral Equations Applications 27 (2015), no. 3, 311--323. doi:10.1216/JIE-2015-27-3-311. https://projecteuclid.org/euclid.jiea/1450388937


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