实数阶微积分及其应用  

Realnumber order calculus and applications

作　　者：陈建威[1] 

机构地区：[1]蒙自师范高等专科学校,云南蒙自661100

出　　处：《云南师范大学学报（自然科学版）》2004年第5期10-13,42,共5页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：　文章从实数阶导数的定义出发,从逆运算的角度给出了实数阶积分的新定义,并建立了实数阶微积分与正整数阶微积分的一些关系式,使之更加系统和完善。This paper proceed from the definition of real number order differential quotient, and gave a new definition from the angle of inverse operation, and formed some relation formula of real number order calculus and regular integers order calculus, and made it more systematic and more perfect.

关 键 词：实数阶微积分 幂级数 P函数 B函数 

分 类 号：O211.6[理学—概率论与数理统计]