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On Urysohn-Volterra Fractional Quadratic Integral Equations

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In this paper the authors study a fractional quadratic integral equation of Urysohn-Volterra type. They show that the integral equation has at least one monotonic solution in the Banach space… Click to show full abstract

In this paper the authors study a fractional quadratic integral equation of Urysohn-Volterra type. They show that the integral equation has at least one monotonic solution in the Banach space of all real functions defined and continuous on the interval [0, 1]. The main tools in the proof are a fixed point theorem due to Darbo and a monotonicity measure of noncompactness.

Keywords: quadratic integral; volterra fractional; fractional quadratic; urysohn volterra; integral equations

Journal Title: Journal of Applied Analysis and Computation
Year Published: 2017

Link to full text (if available)


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