On the existence and uniqueness of solutions for initial value problem of nonlinear fractional differential equations

摘要：

In this paper, we study the existence and uniqueness of solutions for the nonlinear fractional differential equation initial value problem Dαu(t)=f(t, u(t)), t∈ (0, T, t2-αu(t)|t=0=b1, t2-αu′(t)|t=0=b2, where 1<α<2 is a real number, Dα is the Riemann-Liouville fractional derivative. Using the monotone iterative method and the lower and upper solution method, some existence and uniqueness criteria are established, which extend the given results in recent literary works.

关键词： Riemann–Liouville fractional derivative Fractional differential equation Initial value problem Monotone iterative Lower and upper solution

作者: Qiuping Li Shurong Sun Zhenlai Han Yige Zhao

作者单位: School of Science University of Jinan Jinan, Shandong 250022, P R China School of Science, University of Jinan Jinan, Shandong 250022, P R China;School of Control Science a School of Control Science and Engineering Shandong University Jinan, Shandong 250061, P R China

会议类型: 国际会议

会议名称: 2010 IEEE/ASME International Conference on Mechatronic and Embedded System and Applications(2010 IEEE 机电一体化和嵌入式系统与应用国际会议)

会议地点: 青岛

会议语种:英文

页码: 452-457

在线出版日期: 2010-07-15（万方平台首次上网日期，不代表论文的发表时间）