Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1306

 Title: Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation Authors: Darwish, MohamedHenderson, Johnny Keywords: Quadratic Integral EquationFractional IntegralExistenceAsymptotic BehaviourMeasure of NoncompactnessDarbo Fixed Point Theorem45G1045M9947H09 Issue Date: 2009 Publisher: Institute of Mathematics and Informatics Bulgarian Academy of Sciences Citation: Fractional Calculus and Applied Analysis, Vol. 12, No 1, (2009), 71p-86p Abstract: We study the solvability of a perturbed quadratic integral equation of fractional order with linear modification of the argument. This equation is considered in the Banach space of real functions which are defined, bounded and continuous on an unbounded interval. Moreover, we will obtain some asymptotic characterization of solutions. Finally, we give an example to illustrate our abstract results. Description: Mathematics Subject Classification: 45G10, 45M99, 47H09 URI: http://hdl.handle.net/10525/1306 ISSN: 1311-0454 Appears in Collections: 2009

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