Results 91 to 100 of about 10,320 (199)

Mittag-Leffler functions and complete monotonicity [PDF]

Integral Transforms and Special Functions, 2014
One ...
openaire   +2 more sources

Self-similar Cauchy problems and generalized Mittag-Leffler functions

, 2019
By observing that the fractional Caputo derivative can be expressed in terms of a multiplicative convolution operator, we introduce and study a class of such operators which also have the same self-similarity property as the Caputo derivative. We proceed
Patie, P., Srapionyan, A.
core  

A Generalized q-Mittag-Leffler Function by q-Captuo Fractional Linear Equations

Abstract and Applied Analysis, 2012
Some Caputo q-fractional difference equations are solved. The solutions are expressed by means of a new introduced generalized type of q-Mittag-Leffler functions. The method of successive approximation is used to obtain the solutions.
Thabet Abdeljawad, Betül Benli, Dumitru Baleanu   +2 more
doaj   +1 more source

Generalized Pathway Fractional Integral Formulas Involving Extended Multi-Index Mittag-Leffler Function in Kernel of SUM Transform

MANAS: Journal of Engineering
The generalized pathway fractional integral formulas for the newly extended multiindex Mittag-Leffler function defined by using two Fox-Wright functions as its kernel is studied.
Enes Ata, Muhammad Kaurangini, Umar Muhammad Abubakar   +2 more
doaj   +1 more source

The Mittag-Leffler Theorem for regular functions of a quaternionic variable

, 2017
We prove a version of the classical Mittag-Leffler Theorem for regular functions over quaternions. Our result relies upon an appropriate notion of principal part, that is inspired by the recent definition of spherical analyticity.Comment: 10 ...
Gentili, Graziano, Sarfatti, Giulia
core  

Control parameter & solutions to generalized evolution equations of stationarity, relaxation and diffusion

Results in Physics, 2018
It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always true?
Emile Franc Doungmo Goufo, Yazir Khan, Stella Mugisha   +2 more
doaj   +1 more source

On Mittag-Leffler-Gegenbauer polynomials arising by the convolution of Mittag-Leffler function and Hermite polynomials

AIMS Mathematics
Gegenbauer polynomials hold a significant role in the constructive theory of spherical functions, while the Mittag-Leffler function is widely used in fractional calculus.
Mohra Zayed, Maged G. Bin-Saad, Waleed K. Mohammed   +2 more
doaj   +1 more source

New Extended Three-Variable Mittag-Leffler Type Functions

Vestnik KRAUNC: Fiziko-Matematičeskie Nauki
This article presents a systematic investigation of a new class of Mittag-Leffler-type functions in three variables. These functions are a natural and significant extension of the classical Mittag-Leffler function, and are constructed to correspond ...
Hasanov, A., Yuldashova, H.A.
doaj   +1 more source

A study on unification of generalized hypergeometric function and Mittag-Leffler function with certain integral transforms of generalized basic hypergeometric function

Researches in Mathematics
This research article explores some new properties of generalized hypergeometric function and its q-analogue. The connections between ${}_{2}{{R}_{1}}^{\upsilon }(\mathfrak{z})$, the Wright function, and generalized Mittag-Leffler functions are explored.
K.K. Chaudhary, S.B. Rao
doaj   +1 more source

Mittag–Leffler Fractional Stochastic Integrals and Processes with Applications

Mathematics
We study Mittag–Leffler (ML) fractional integrals involved in the solution processes of a system of coupled fractional stochastic differential equations.
Enrica Pirozzi
doaj   +1 more source