Results 101 to 110 of about 5,801,198 (158)

Subclasses of Spiral-Like Functions Associated With the Generalized Mittag-Leffler Function

open access: yes, 2022
Due to its crucial role in handling issues with fractional order integral and differential equations, the unique transcendental operator known as a Mittag-Leffler function has drawn the interest of academics in recent years.
Jamal Salah
core   +1 more source

Fractional kinetic equations involving generalized k-Bessel function via Sumudu transform

open access: yesAlexandria Engineering Journal, 2018
Principle aim of the present study is to develop fractional kinetic equations involving generalized k-Bessel function via Sumudu transform. Also, the graphical interpretation of the solutions by employing MATLAB is given.
P. Agarwal   +4 more
doaj   +1 more source

EXTENDED GENERALIZED MITTAG-LEFFLER FUNCTION APPLIED ON FRACTIONAL INTEGRAL INEQUALITIES

open access: yes
This paper presents several fractional generalizations and ex- tensions of known integral inequalities. To obtain these, an extended generalized Mittag-Leffler function and its fractional integral operator are used.
Andrić M.   +3 more
core   +1 more source

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  

Matrix Mittag‑Leffler function in fractional systems and its computation [PDF]

open access: yes, 2018
Matrix Mittag‑Leffler functions play a key role in numerous applications related to systems with fractional dynamics. That is why the methods for computing the matrix Mittag‑Leffler function are so important.
Matychyn, I., Onyshchenko, V.
core   +1 more source

Radii problems for the generalized Mittag-Leffler functions

open access: yes, 2019
In this paper our aim is to investigate the radii of $η-$uniformly convexity, $α-$convexity, $η-$parabolic starlikeness and strong starlikeness of order $ρ$ of the generalized Mittag-Leffler function for three different kinds of normalization by using their Hadamard factorization in such a way that the resulting functions are analytic.
openaire   +2 more sources

A Novel Generalized Time-Stepping Scheme for Time-Fractional Reaction–Diffusion Models Using a New Rational Function Approximation of Mittag-Leffler Functions

open access: yesAxioms
The Mittag-Leffler function holds significant importance in fractional calculus due to its extensive applications in addressing challenges across science, engineering, biology, hydrology, and earth sciences.
Madushi U. Wickramasinghe   +1 more
doaj   +1 more source

A Study on Generalized Multivariable Mittag-Leffler Function via Generalized Fractional Calculus Operators

open access: yes, 2019
We study some properties of generalized multivariable Mittag-Leffler function. Also we establish two theorems, which give the images of this function under the generalized fractional integral operators involving Fox’s H-function as kernel.
D. L. Suthar   +2 more
core   +1 more source

On the p-k-Mittag-Leffler function

open access: yes, 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 the fractional ...
Dorrego, Gustavo   +6 more
core   +1 more source

On a Generalized Mittag-Leffler Function and Fractional Integrals

open access: yesFundamental Journal of Mathematics and Applications
The object of this paper is to study a generalized Mittag-Leffler function and a modified general class of functions which is reducible to several special functions. convergent conditions of these functions are discussed. Some results pertaining to the generalized Mittag-Leffler function and generating relations involving these functions are ...
openaire   +2 more sources

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