Fractional derivatives of the generalized Mittag-Leffler functions

被引：0
作者：
Denghao Pang
Wei Jiang
Azmat U. K. Niazi
机构：
[1] Anhui University,School of Mathematical Sciences
来源：
Advances in Difference Equations | / 2018卷
关键词：
Mittag-Leffler function; Riemann–Liouville derivative; Caputo derivative; 33E12; 26A33;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
In this paper, we derive the compositions of the fractional derivatives with the Shukla function, a four-parameter Mittag-Leffler function. We investigate and compare the difference between the Riemann–Liouville and Caputo derivatives of the generalized Mittag-Leffler functions and obtain the reason causing the difference and expand the fractional derivatives of the generalized Mittag-Leffler functions. Two illustrative examples and the related numerical results are provided to demonstrate the validity.
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