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

