Journal of Convex Analysis 17 (2010), No. 2, 413--426
Copyright Heldermann Verlag 2010
On Existence and Asymptotic Stability of Solutions of a Functional-Integral Equation of Fractional Order
Mohamed Abdalla Darwish
Dept. of Mathematics, Faculty of Science, Alexandria University at Damanhour, 22511 Damanhour, Egypt
darwishma@yahoo.com
Kishin Sadarangani
Dep. de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
ksadaran@dma.ulpgc.es
We study the solvability of a quadratic functional-integral equation of fractional order. This equation is considered in the Banach space of real functions defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions.
Keywords: Functional integral equation, fractional integral, existence, asymptotic behaviour, measure of noncompactness, Schauder fixed point principle.
MSC: 45G10, 45M99, 47H09
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