Mittag-Leffler function and fractional differential equations

被引：0
作者：
Katarzyna Górska
Ambra Lattanzi
Giuseppe Dattoli
机构：
[1] Polish Academy of Sciences ul,H. Niewodniczański Institute of Nuclear Physics
[2] ENEA - Centro Ricerche Frascati,undefined
来源：
Fractional Calculus and Applied Analysis | 2018年 / 21卷
关键词：
Primary 35R11; Secondary 26A33; 05A40; 60G52; fractional Fokker-Planck equation; fractional calculus; moments; umbral (operational) method;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We adopt a procedure of operational-umbral type to solve the (1 + 1)-dimensional fractional Fokker-Planck equation in which time fractional derivative of order α (0 < α < 1) is in the Riemann-Liouville sense. The technique we propose merges well documented operational methods to solve ordinary FP equation and a redefinition of the time by means of an umbral operator. We show that the proposed method allows significant progress including the handling of operator ordering.
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页码：220 / 236
页数：16
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