Geodesic
On Existence and Asymptotic Stability of Solutions of a Functional-Integral Equation of Fractional Order
Journal of convex analysis, Tome 17 (2010) no. 2, pp. 413-426.

Voir la notice de l'article provenant de la source Heldermann Verlag

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.
Classification : 45G10, 45M99, 47H09
Mots-clés : Functional integral equation, fractional integral, existence, asymptotic behaviour, measure of noncompactness, Schauder fixed point principle 
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     author = {M. A. Darwish and K. Sadarangani},
     title = {On {Existence} and {Asymptotic} {Stability} of {Solutions} of a {Functional-Integral} {Equation} of {Fractional} {Order}},
     journal = {Journal of convex analysis},
     pages = {413--426},
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     number = {2},
     year = {2010},
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M. A. Darwish; K. Sadarangani. On Existence and Asymptotic Stability of Solutions of a Functional-Integral Equation of Fractional Order. Journal of convex analysis, Tome 17 (2010) no. 2, pp. 413-426. http://geodesic.mathdoc.fr/item/JCA_2010_17_2_JCA_2010_17_2_a3/