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Existence and Asymptotic Stability of Solutions of a Perturbed Quadratic Fractional Integral Equation

Darwish, MohamedHenderson, Johnny — 2009

Fractional Calculus and Applied Analysis

Mathematics Subject Classification: 45G10, 45M99, 47H09 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.

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