Boundary value problem for a fractional integro-differential equation with Hadamard derivatives

摘要：

　　In this paper,we study the following boundary value problem of fractional integro-differential equation with Hadamard derivatives.D(a)u(t)=f(t,u(t))+∫log(1)(0)k(s,u)(s))ds,u(e)=lim(t)→(l)u(t)·(logt)2-α=0.5<α≤6,1≤t≤eBy using the Schauder fixed point Theorem and the generalized Gronwall inequality,we give a sufficient condition for the existence and uniqueness of the solution.

关键词： Greens function Generalized Gronwall inequality Hadamard fractional order derivative Hadamard fractional order integral

作者: Shi-you Lin

作者单位: School of Mathematics and Statistics, Hainan Normal University Haikou, Hainan, 571158

会议类型: 国际会议

会议名称: 2012年国际工程应用数学研讨会

会议地点: 北京

会议语种:英文

页码: 262-266

在线出版日期: 2012-10-26（万方平台首次上网日期，不代表论文的发表时间）