Results 11 to 20 of about 19,869 (230)

Mittag-Leffler Functions and Their Applications [PDF]

Journal of Applied Mathematics, 2011
Motivated essentially by the success of the applications of the Mittag-Leffler functions in many areas of science and engineering, the authors present, in a unified manner, a detailed account or rather a brief survey of the Mittag-Leffler function ...
H. J. Haubold, A. M. Mathai, R. K. Saxena   +2 more
doaj   +5 more sources

Some New Extensions on Fractional Differential and Integral Properties for Mittag-Leffler Confluent Hypergeometric Function

Fractal and Fractional, 2021
This article uses fractional calculus to create novel links between the well-known Mittag-Leffler functions of one, two, three, and four parameters.
F. Ghanim, Hiba F. Al-Janaby, Omar Bazighifan   +2 more
doaj   +3 more sources

Note on generalized Mittag-Leffler function. [PDF]

Springerplus, 2016
The present paper deals with the study of a generalized Mittag-Leffler function and associated fractional operator. The operator has been discussed in the space of Lebesgue measurable functions. The composition with Riemann-Liouville fractional integration operator has been obtained.
Desai R, Salehbhai IA, Shukla AK.
europepmc   +4 more sources

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

Applied Mathematics and Computation, 2009
H. Srivastava, Ivorad Tomovski
semanticscholar   +3 more sources

On a generalization of Mittag-Leffler function and its properties

Journal of Mathematical Analysis and Applications, 2007
A. Shukla, J. Prajapati
semanticscholar   +3 more sources

Bicomplex Mittag-Leffler function and associated properties [PDF]

Journal of Nonlinear Science and its Applications, 2021
With the increasing importance of the Mittag-Leffler function in physical applications, these days many researchers are studying various generalizations and extensions of the Mittag-Leffler function.
R. Agarwal, Urvashi Sharma, R. Agarwal
semanticscholar   +1 more source

Computing the Matrix Mittag-Leffler Function with Applications to Fractional Calculus [PDF]

Journal of Scientific Computing, 2018
The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in fractional calculus, are discussed. In general the evaluation of a scalar function in matrix arguments may require the computation of derivatives of ...
R. Garrappa, M. Popolizio
semanticscholar   +1 more source

Some geometric properties of multivalent functions associated with a new generalized $ q $-Mittag-Leffler function

AIMS Mathematics, 2022
In this article, a new generalized $ q $-Mittag-Leffler function is introduced and investigated. Motivated by the newly defined function and using the concept of differential subordination, a new subclass of multivalent functions is introduced.
S. H. Hadi, M. Darus, Choonkil Park, Jung Rye Lee   +3 more
semanticscholar   +1 more source

Existence and Stability Results on Hadamard Type Fractional Time-Delay Semilinear Differential Equations

Mathematics, 2020
A delayed perturbation of the Mittag-Leffler type matrix function with logarithm is proposed. This combines the classic Mittag–Leffler type matrix function with a logarithm and delayed Mittag–Leffler type matrix function. With the help of this introduced
Nazim Mahmudov, Areen Al-Khateeb
doaj   +1 more source

Novel Generalized Low-Pass Filter with Adjustable Parameters of Exponential-Type Forgetting and Its Application to ECG Signal

Sensors, 2022
In this paper, a novel form of the Gaussian filter, the Mittag–Leffler filter is presented. This new filter uses the Mittag–Leffler function in the probability-density function.
Ivo Petráš
doaj   +1 more source