Results 81 to 90 of about 10,260 (153)

On Hadamard and Fejér–Hadamard Inequalities for Fractional Integrals Involving Mittag‐Leffler‐Type Function of Arbitrary Order

open access: yesJournal of Function Spaces, Volume 2026, Issue 1, 2026.
This paper introduces and investigates novel fractional integral operators featuring the extended Mittag‐Leffler function in the kernel. After establishing the core properties of these operators, we derive the corresponding Hadamard and Fejér–Hadamard inequalities.
Maged Bin-Saad   +4 more
wiley   +1 more source

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

open access: yesMANAS: 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   +2 more
doaj   +1 more source

Numerical Investigation of a Fractional Cancer Chemotherapy Effect Model Using the Homotopy Decomposition Method

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
Cancer, a highly aggressive neoplastic disease, has emerged as one of the leading causes of mortality worldwide. Chemotherapy remains one of the most effective therapeutic approaches for inhibiting tumor growth and reducing tumor mass. The main objective of the current work is to provide an in‐depth analysis of the fractional cancer chemotherapy effect
L. K. Yadav   +4 more
wiley   +1 more source

Self-similar Cauchy problems and generalized Mittag-Leffler functions

open access: yes, 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  

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

open access: yesResults 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   +2 more
doaj   +1 more source

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

open access: yes, 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  

New Extended Three-Variable Mittag-Leffler Type Functions

open access: yesVestnik 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

open access: yesResearches 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

open access: yesMathematics
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

Application of the generalized q-Mittag-Leffler function to fractional q-kinetic equations via q-Shehu transform

open access: yesKuwait Journal of Science
This paper investigates the properties and applications of q-Mittag-Leffler functions with five parameters within the framework of fractional q-kinetic equations.
Mulugeta Dawud Ali, D.L. Suthar
doaj   +1 more source

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