Existence Results for Nonlinear Implicit Neutral Fractional Integrodifferential Equations with Nonlocal Condition

摘要

The aim of this paper is to establish the existence results for nonlinear fractional differential equations with implicit, neutral and integrodifferential term, and with nonlocal initial conditions by using fixed point technique. The solution representations to the corresponding linear equations are obtained in terms of resolvent operators. Under appropriate conditions on the nonlinear functions, we prove the existence and uniqueness of solutions to the nonlinear abstract equations.