Results 71 to 80 of about 1,345 (201)

Generalized Fractional Integrals Involving Product of a Generalized Mittag–Leffler Function and Two H-Functions

, 2022
The objective of this research is to obtain some fractional integral formulas concerning products of the generalized Mittag–Leffler function and two H-functions.
Prakash Singh, Praveen Agarwal, Shilpi Jain   +2 more
core   +1 more source

Numerical Modeling of Inertial Particles in Three‐Dimensional Fluid Flow

Proceedings in Applied Mathematics and Mechanics, Volume 26, Issue 2, June 2026.
ABSTRACT The motion of inertial particles in a fluid is modeled by the Maxey–Riley–Gatignol equation (MaRGE). The MaRGE contains an integral term that arises due to the viscous diffusion of vorticity in the fluid around the particle. Because it makes MaRGE difficult to solve numerically, the integral term is often neglected or approximated, despite its
Vamika Rathi, Daniel Ruprecht
wiley   +1 more source

Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator

Mathematics, 2022
The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become
F. Ghanim, Hiba F. Al-Janaby, Marwan Al-Momani, Belal Batiha   +3 more
doaj   +1 more source

Certain unified integral formulas involving five-parameter Mittag-Leffler function

International Journal of Mathematics for Industry
In this work, we propose some unified integral representations for the five-parameter Mittag-Leffler function, and our findings are evaluated in terms of various generalized special functions.
Ankit Pal, Vinod Kumar Jatav, Udai Kumar
doaj   +1 more source

Certain Quantum Operator Related to Generalized Mittag–Leffler Function

Mathematics, 2023
In this paper, we present a novel class of analytic functions in the form h(z)=zp+∑k=p+1∞akzk in the unit disk. These functions establish a connection between the extended Mittag–Leffler function and the quantum operator presented in this paper, which is
Mansour F. Yassen, Adel A. Attiya
doaj   +1 more source

Infinity‐operadic foundations for embedding calculus

Journal of Topology, Volume 19, Issue 2, June 2026.
Abstract Motivated by applications to spaces of embeddings and automorphisms of manifolds, we consider a tower of ∞$\infty$‐categories of truncated right modules over a unital ∞$\infty$‐operad O$\mathcal {O}$. We study monoidality and naturality properties of this tower, identify its layers, describe the difference between the towers as O$\mathcal {O}$
Manuel Krannich, Alexander Kupers
wiley   +1 more source

Third-Order Differential Subordination for Meromorphic Functions Associated with Generalized Mittag-Leffler Function

, 2023
Using the results of third-order differential subordination, we introduce certain families of admissible functions and discuss some applications of third-order differential subordination for meromorphic functions associated with a linear operator ...
Abdelhamid Albaid, Adel A. Attiya, Tamer M. Seoudy   +2 more
core   +1 more source

On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

Advances in Difference Equations, 2018
The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅) $E^{\gamma,\rho}_{k,\zeta,\eta}(\cdot)$. The solutions of fractional kinetic equations are
P. Agarwal, M. Chand, D. Baleanu, D. O’Regan, Shilpi Jain   +4 more
doaj   +1 more source

Thermal Conductance and Mass Transport of Brinkman‐Type Nanofluids Across Porous Plates: A Prabhakar‐Fractional Approach

Asia-Pacific Journal of Chemical Engineering, Volume 21, Issue 3, May/June 2026.
ABSTRACT The paper establishes an advanced computing algorithm to investigate the thermosolutal dynamics of an electrically conductive Brinkman‐type nanofluid that moves in a porous channel, and the fluid is acted on by an inclined magnetic field exerted externally.
Urwa Shehbaz, Umair Khan, MD. Shamshuddin, Nermeen Abdullah, Samia Elattar   +4 more
wiley   +1 more source

Exploring Fractional $q$-Kinetic Equations via Generalized $q$-Mittag-Leffler Type Functions: Applications and Analysis [PDF]

Sahand Communications in Mathematical Analysis
In this study, the $q$-calculus is employed to introduce a novel generalization of the Mittag-Leffler function. In the following, we investigate a novel $q$-exponential function with five parameters, resulting in the generalized $q$-Mittag-Leffler ...
Mulugeta Dawud Ali, Dayalal Suthar, Sunil Purohit   +2 more
doaj   +1 more source