In this paper,we use the analytic semigroup theory of linear operators and fixed point method to prove the existence of mild solutions to a semilinear fractional order functional differential equations in a Banach space.
基金supported by the National Natural Science Foundation of China (No.11071001)the Natural Science Foundation of Huangshan University (No.2010xkj014)the Foundation of Education Department of Anhui Province (KJ2011B167)
文摘In this paper,we use the analytic semigroup theory of linear operators and fixed point method to prove the existence of mild solutions to a semilinear fractional order functional differential equations in a Banach space.