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On Urysohn-Volterra Fractional Quadratic Integral Equations
Keywords:Fractional integral; quadratic integral equation; monotonic solutions; Darbo theorem; monotonicity measure of noncompactness
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.