NONLINEAR IMPULSIVE FRACTIONAL DIFFERENTIAL EQUATIONS IN BANACH SPACES

作者：Guo Tian Liang^*

来源：Topological Methods in Nonlinear Analysis, 2013, 42(1): 221-232.

• Impulsive fractional differential equations
• initial value problem
• measure of noncompactness
• Winch's fixed point theorem

In this paper, we consider initial value problems for a class of nonlinear impulsive fractional differential equations involving the Caputo fractional derivative in a Banach space. We give a natural formula of the solution and some related existence results by applying Winch's fixed point theorem and the technique of measures of noncompactness.

• 出版日期2013-9
• 单位黄山学院