EQUIVALENT SAME-ORDER SYSTEM FOR MULTI-RATIONAL-ORDER FRACTIONAL DIFFERENTIAL SYSTEM WITH CAPUTO DERIVATIVE

摘要：

The equivalent same-order system for multi-rational-order fractional dif-ferential system with Caputo derivative is studied. With the relationship betweenCaputo derivative and generalized fractional derivative, we can change the multi-orderfractional di?erential system whose fractional order is rational into a much higher-dimensional fractional di?erential system with the same order lying in (0,1). Based onthe equivalent results, the stability analysis of any multi-rational-order fractional dif-ferential system is given. Finally, several examples are provided to illustrate the resultsin this paper.

关键词： Multi-rational-order fractional di?erential system Caputo derivative Generalized fractional derivative Equivalent system

作者: Changpin Li Fengrong Zhang

作者单位: Department of Mathematics, Shanghai University, Shanghai 200444, China Department of Mathematics, Shanghai University, Shanghai 200444, China School of Mathematics and Com

会议类型: 国内会议

会议名称: 中国力学大会2011暨钱学森诞辰100周年纪念大会

会议地点: 哈尔滨

会议语种:英文

页码: 1-17

在线出版日期: 2011-08-22（万方平台首次上网日期，不代表论文的发表时间）