
Journal of Convex Analysis 17 (2010), No. 2, 413426 Copyright Heldermann Verlag 2010 On Existence and Asymptotic Stability of Solutions of a FunctionalIntegral 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 functionalintegral 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 [ Fulltextpdf (137 KB)] for subscribers only. 