Fractional derivatives of the generalized Mittag-Leffler functions

Abstract 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 t...

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Bibliographic Details
Main Authors: Denghao Pang, Wei Jiang, Azmat U. K. Niazi
Format: Article
Language:English
Published: SpringerOpen 2018-11-01
Series:Advances in Difference Equations
Subjects:
Online Access:http://link.springer.com/article/10.1186/s13662-018-1855-9