题 目： 分数阶微积分的基本理论及其简单应用 目 录摘要..................................................................................................................................................3Abstract.............................................................................................................................................4一、引言..........................................................................................................................................5二、 R-L 型分数阶微积分的基本理论 ...........................................................................................5（一）左 R-L 型分数阶微积分 ...............................................................................................51. 左 R-L 型分数阶积分 ...................................................................................................52. 左 R-L 型分数阶导数 ...................................................................................................6（二）右 R-L 型分数阶微积分 ...............................................................................................71. 右 R-L 型分数阶积分 ...................................................................................................72. 右 R-L 型分数阶导数 ...................................................................................................8三、 R-L 型分数阶微积分与整数阶微积分的联系与区别 ............................................................9（一） R-L 型分数阶微积分与整数阶微积分的联系 ............................................................91. R-L 型分数阶微积分是整数阶微积分的推广 ............................................................92. R-L 型分数阶导数也同样具有线性性质 ..................................................................10（二） R-L 型分数阶微积分与整数阶微积分的区别 ..........................................................101. 对于常函数的求导两者得到不同结果 .......................
