Existence and stability of nonlinear, fractional order Riemann-Liouville Volterra-Stieltjes multi-delay integral equations

Saïd Abbas; Mouffak Benchohra

doi:10.1216/JIE-2013-25-2-143

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Home > Journals > J. Integral Equations Applications > Volume 25 > Issue 2 > Article

SUMMER 2013 Existence and stability of nonlinear, fractional order Riemann-Liouville Volterra-Stieltjes multi-delay integral equations

Saïd Abbas, Mouffak Benchohra

J. Integral Equations Applications 25(2): 143-158 (SUMMER 2013). DOI: 10.1216/JIE-2013-25-2-143

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Abstract

We study the existence and the stability of solutions for Riemann-Liouville, Volterra-Stieltjes quadratic delay integral equations of fractional order. Our results are obtained by applying some fixed point theorems.

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Saïd Abbas. Mouffak Benchohra. "Existence and stability of nonlinear, fractional order Riemann-Liouville Volterra-Stieltjes multi-delay integral equations." J. Integral Equations Applications 25 (2) 143 - 158, SUMMER 2013. https://doi.org/10.1216/JIE-2013-25-2-143

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Published: SUMMER 2013

First available in Project Euclid: 4 November 2013

zbMATH: 1288.26002

MathSciNet: MR3161610

Digital Object Identifier: 10.1216/JIE-2013-25-2-143

Subjects:

Primary: 26A33

Secondary: 45G05 , 45M10

Keywords: fixed point , left-sided mixed Riemann-Liouville fractional integral , multi-delay , solution , stability , Volterra-Stieltjes quadratic integral equation

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J. Integral Equations Applications

Vol.25 • No. 2 • SUMMER 2013

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Saïd Abbas, Mouffak Benchohra "Existence and stability of nonlinear, fractional order Riemann-Liouville Volterra-Stieltjes multi-delay integral equations," Journal of Integral Equations and Applications, J. Integral Equations Applications 25(2), 143-158, (SUMMER 2013)

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