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.
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.
基金
Supported by the Foundation of Science and Technology Department of Hunan Province under Grant No.2009RS3019
the Doctor Foundation of University of South China under Grant No.5-XQD-2006-9
the Subject Lead Foundation of University of South China No.2007XQD13
