Existence of Solutions for Nonlinear Fractional Dierential Equations with Deviating Arguments and Nonlocal Integral Boundary Conditions

Abstract

In this paper, we prove the existence and uniqueness of solutions for nonlocal boundary value problem of nonlinear fractional dierential equation of order 2 (0; 1), with deviating arguments.The uniqueness is achieved by employing Banach's fixed point theorem, while the existence by Schauder's fixed point theorem, and using the comparison result to obtain the existence of ex-tremal solutions by monotone iterative technique. We support our results with suitable examples.