Results 141 to 150 of about 5,801,198 (158)

THE LOCAL GENERALIZED DERIVATIVE AND MITTAG-LEFFLER FUNCTION

2020
In this paper, we present a general definition of a generalized derivative of local type using the well known Mittag-Leffler function. Some methodological remarks on the local fractional derivatives are also presented.
VALDES, Juan E. Nápoles, GUZMÁN, Paulo M., LUGO, Luciano M., KASHURI, Artion   +3 more
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Numerical Results for the Generalized Mittag-Leffler Function

2010
Results of extensive calculations for the generalized Mittag-Leffler function E0.8,0.9(z) are presented in the region −8 ≤ Re z ≤ 5 and −10 ≤ Im z ≤ 10 of the complex plane. This function is related to the eigenfunction of a fractional derivative of order α = 0.8 and type β = 0.5.
Seybold, H. J., Hilfer, R.
openaire   +1 more source

On extended \(k\)-generalized Mittag-Leffler function and its properties

Math. Found. Comput.
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Shilpi Jain, B. B. Jaimini, Meenu Buri, Praveen Agarwal   +3 more
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General Delayed Perturbation of the Three‐Parameter Mittag‐Leffler Functions

Mathematical Methods in the Applied Sciences
ABSTRACT In this paper, we define a general delayed perturbation of the three‐parameter Mittag‐Leffler type matrix function, which can be seen as a generalization of both the delayed perturbation of the two‐parameter Mittag‐Leffler type function and the delayed perturbation of the three‐parameter Mittag‐Leffler type function.
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Generalized Mittag-Leffler Function and Its Properties

2015
Recently, Srivastava, C¸ etinkaya and Kıymaz [18] defined the generalized Pochhammer symbol and obtained some relations.In this paper, we define the generalized Mittag-Leffler function via the generalized Pochammer symbol and present some recurrencerelation, derivative properties, integral representation.
openaire   +2 more sources

Fractional Integrations of a Generalized Mittag-Leffler Type Function and Its Application

Mathematics, 2019
Kottakkaran Sooppy Nisar
exaly  

Fractional calculus with an integral operator containing a generalized Mittag–Leffler function in the kernel

Applied Mathematics and Computation, 2009
Zivorad Tomovski
exaly  

Further results on the generalized Mittag-Leffler function operator

Journal of Inequalities and Applications, 2015
Ranjan Kumar Jana, Ajay Shukla, Jignesh Chauhan   +2 more
exaly  

Boros integral involving the generalized multi-index Mittag-Leffler function and incomplete I -functions

2022
Dinesh Kumar, Dl Suthar, Hari M Srivastava   +2 more
exaly  

Computation of the generalized Mittag-Leffler function and its inverse in the complex plane

Integral Transforms and Special Functions, 2006
R Hilfer
exaly