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Self-similar Cauchy problems and generalized Mittag-Leffler functions

open access: yes, 2019
By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also have the same self-similarity property as the Caputo derivative. We proceed
Patie, P., Srapionyan, A.
core  

Integral transforms of the S-functions

open access: yesLe Matematiche, 2015
The object of this paper is to introduce a new special function, which will be called S-function. This function is an extension of the generalized Mittag-Leffler function due to Prabhakar [7], generalized Mittag-Leffler function introduced by Srivastava ...
Jitendra Daiya, Ram Kishore Saxena
doaj  

Note on generalized Mittag-Leffler function. [PDF]

open access: yesSpringerplus, 2016
Desai R, Salehbhai IA, Shukla AK.
europepmc   +1 more source

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