Global attractivity results for comparable solutions of nonlinear hybrid fractional integral equations

Abstract

We present a couple of global attractivity and asymptotic stability results for the com- parable solutions of a certain hybrid functional nonlinear fractional integral equation with a linear perturbation of first kind on the unbounded intervals of real line under some weaker partially Lip- schitz and partially compactness type conditions. We employ a new partially measure theoretic fixed point theorem in our analysis and develop an algorithm for the solutions. We claim that the results are new to the literature.