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Oscillatory integrals for Mittag-Leffler functions with two variables: Oscillatory integrals for Mittag-Leffler functions

open access: yes
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
IKROMOV, IA, Ruzhansky, M, SAFAROV, AR
core   +1 more source

Mittag-Leffler function for discrete fractional modelling [PDF]

open access: yesJournal of King Saud University - Science, 2016
From the difference equations on discrete time scales, this paper numerically investigates one discrete fractional difference equation in the Caputo delta’s sense which has an explicit solution in form of the discrete Mittag-Leffler function.
Guo-Cheng Wu   +2 more
exaly   +2 more sources

Computation of the inverse Mittag–Leffler function and its application to modeling ultraslow dynamics

Fractional Calculus and Applied Analysis, 2022
Yingjie Liang, Richard Magin
exaly  

On a Lyapunov-type inequality and the zeros of a certain Mittag–Leffler function

Journal of Mathematical Analysis and Applications, 2014
R A C Ferreira
exaly  

A note on property of the Mittag-Leffler function

Journal of Mathematical Analysis and Applications, 2010
Jigen Peng, Kexue Li
exaly  

On Mittag-Leffler type function and applications

Integral Transforms and Special Functions, 1998
Anatoly A Kilbas, Megumi Saigo
exaly  

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