Asymptotic Stability of Comparable Solutions for Nonlinear Quadratic Fractional Integral Equations

Ram G. Metkar, Dnyaneshwar V. Mule

Abstract


We prove a local asymptotic attractivity and stability result for a hybrid nonlinear fractional integral
equations under the mixed weaker partially Lipschitz and compactness type conditions. It is shown that comparable
solutions of the considered hybrid nonlinear fractional integral equation are uniformly locally ultimately attractive and
asymptotically stable on unbounded intervals of real line. We base our theory on a recent measure theoretic fixed point
theorem of Dhage (2013) in partially ordered spaces and claim that our result is new to the literature.


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