| Volume 8, Number 1, 2018, Pages 331-343 DOI：10.11948/2018.331 |
| On Urysohn-Volterra fractional quadratic integral equations |
| Mohamed Abdalla Darwish,John R Graef,Kishin Sadarangani |
| 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. |
PDF Download reader
|
|
|
|