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On the p-k-mittag-leffler function
(Hikari Ltd, 2017)
In this paper, we define the function pE
γ
k,α,β(z), estudy its analytic properties, some elementary properties as its integral expression,
its relationship with the fractional operator of Riemann-Liouville and investigate ...
On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
(Springer, 2012-03-01)
The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized Mittag-Leffler function, a ...
On the Generalized Mittag-Leffler Function and its Application in a Fractional Telegraph Equation
(Springer, 2012-03-01)
The classical Mittag-Leffler functions, involving one- and two-parameter, play an important role in the study of fractional-order differential (and integral) equations. The so-called generalized Mittag-Leffler function, a ...
Laplace transform and the Mittag-Leffler function
(Taylor & Francis Online, 2019)
Theorem for series in three-parameter mittag-leffler function
(2010)
The new result presented here is a theorem involving series in the three-parameter Mittag-Le er function. As a by-product, we recover some known results and discuss corollaries. As an application, we obtain the solution ...
Integral Representations of Mittag-Leffler Function on the Positive Real Axis
(Sociedade Brasileira de Matemática Aplicada e Computacional, 2019-09-16)
We use the method for finding inverse Laplace transform without using integration on the complex plane to show that the three-parameter Mittag-Leffler function, which appear in many problems associated with fractional ...