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2013 Nonlinear Fractional Order Riemman-Liouville Volterra-Stieltjes Partial Integral Equations on Unbounded Domains
S. Abbas , M. Benchohra
Commun. Math. Anal. 14(1): 104-117 (2013).

Abstract

This paper deals with the existence and the stability of solutions of a class of fractional order functional Riemann-Liouville Volterra-Stieltjes partial integral equations. Our results are obtained by using an extension of the Burton-Kirk fixed point theorem in the case of an unbounded domain.

Citation

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S. Abbas . M. Benchohra . "Nonlinear Fractional Order Riemman-Liouville Volterra-Stieltjes Partial Integral Equations on Unbounded Domains." Commun. Math. Anal. 14 (1) 104 - 117, 2013.

Information

Published: 2013
First available in Project Euclid: 25 March 2013

zbMATH: 1277.26009
MathSciNet: MR3040884

Subjects:
Primary: 26A33
Secondary: , 45D05 , , 45G05 , , 45M10

Keywords: fixed point , Fréchet space‎ , left-sided mixed Riemann-Liouville integral of fractional order , solution , stability , unbounded domain , Volterra-Stieltjes quadratic partial integral equation

Rights: Copyright © 2013 Mathematical Research Publishers

Vol.14 • No. 1 • 2013
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