On the existence of continuous solutions of a nonlinear quadratic fractional integral equation

Wagdy G. El-Sayed, Mahmoud M. El-Borai, Mohamed M.A. metwali, Nagwa I. Shemais
2020 JOURNAL OF ADVANCES IN MATHEMATICS  
We prove an existence theorem for a nonlinear quadratic integral equation of fractional order, in the Banach space of real functions defined and continuous on a closed interval. This equation contains as a special case numerous integral equation studied by other authors. Finally, we give an example for indicating the natural realizations of our abstract result presented in this paper.
doi:10.24297/jam.v19i.8802 fatcat:ckspczm6abbrdnsz76yzcf2s5a