Periodic solutions of quadratic Weyl fractional integral equations

In this paper, we study periodic solutions of quadratic Weyl fractional integral equations. We derive the convergence, periodicity, continuity and boundedness of Weyl kernel. With the help of these basic properties, we prove the existence of 2 π -periodic solutions of the desired equation by using a technique of measure of noncompactness via Schauder fixed point theorem. Moreover, we obtain uniform local attractivity of the 2 π -periodic solutions. Finally, an example is given to illustrate the obtained results.