Global attractivity and stability results for comparable solutions of nonlinear fractional integral equations

Abstract

We present a global attractivity results for comparable solutions of some hybrid functional nonlinear fractional integral equation with a linear perturbation of first kind under one-sided Lipschitz
and compactness type conditions. It is shown that comparable solutions of the considered integral equation are uniformly globally ultimately attractive on unbounded intervals of real line. We employ a new partially measure theoretic fixed point theorem in our study and claim that our results are newto the literature.