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 Nature Science Foundation of China(11071001)the Key Program of Ministry of Education of China(205068)+2 种基金the Program of Innovation Team of University of Anhuithe Research Foundation of Huangshan University(2010xkj014)the Foundation of Education Department of Anhui Province(KJ2011B167)
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.
基金supported by the National Nature Science Foundation of China (No.11071001)the Foundation of Education Department of Anhui province(KJ2011B167,KJ2010B217)the Natural Science Foundation of Huangshan University(No.2010xkj014)
