EXISTENCE AND UNIQUENESS OF SOLUTIONS TO A NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION

• 来源期刊: 微分方程年刊：英文版
• 学科: 数学
• 年，卷（期）: 2011,（1）
• 页码范围: 19-27
• 页数: 9页
• 分类号: O17

摘要

The initial value problem of a nonlinear fractional differential equation is discussed in this paper. Using the nonlinear alternative of Leray-Schauder type and the contraction mapping principle,we obtain the existence and uniqueness of solutions to the fractional differential equation,which extend some results of the previous papers.