LOCAL ATTRACTIVITY AND STABILITY RESULTS FOR HYBRID FUNCTIONAL NONLINEAR FRACTIONAL INTEGRAL EQUATIONS

Abstract

We prove a couple of local asymptotic stability results for a hybrid functional nonlinear fractional integral equations under weaker Lipschitz and compactness type conditions. It is shown that comparable solutions of the considered hybrid functional nonlinear fractional integral equation are uniformly locally ultimately attractive and asymptotically stable on unbounded intervals of real line. We claim that our results are new and rely on ameasure theoretic fixed point theorem of Dhage (2014).