Some Problems Of Fractional Neutral Functional Differential Equations

In this paper, we discuss the existence results for initial value problemsfor fractional neutral functional di?erential equations and the oscillation for thefractional delay di?erential systems.This paper includes two main parts as follows. In Chapter 2, we discuss theexistence results for initial value problems for fractional neutral functional di?er-ential equations which require and do not require the continuity of nonlinear termand various criteria on existence are obtained by Schaefer's fixed point theorem.In Chapter 3, we discuss the oscillation for the fractional delay di?erential sys-tems with Riemann-Liouville fractional derivative. Some su?cient conditions forall solutions of fractional delay di?erential systems to be oscillatory are obtainedby using the Laplace transforms.