Communications in Mathematical Analysis
- Commun. Math. Anal.
- Volume 14, Number 1 (2013), 104-117.
Nonlinear Fractional Order Riemman-Liouville Volterra-Stieltjes Partial Integral Equations on Unbounded Domains
S. Abbas and M. Benchohra
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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.
Article information
Source
Commun. Math. Anal. Volume 14, Number 1 (2013), 104-117.
Dates
First available in Project Euclid: 25 March 2013
Permanent link to this document
https://projecteuclid.org/euclid.cma/1364216233
Mathematical Reviews number (MathSciNet)
MR3040884
Zentralblatt MATH identifier
1277.26009
Subjects
Primary: 26A33
Secondary: , 45D05 , 45G05 , 45M10
Keywords
Volterra-Stieltjes quadratic partial integral equation left-sided mixed Riemann-Liouville integral of fractional order unbounded domain Fréchet space stability solution fixed point
Citation
Abbas , S.; Benchohra , M. Nonlinear Fractional Order Riemman-Liouville Volterra-Stieltjes Partial Integral Equations on Unbounded Domains. Commun. Math. Anal. 14 (2013), no. 1, 104--117.https://projecteuclid.org/euclid.cma/1364216233
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