Results 81 to 90 of about 2,715,137 (155)

A generalization of the Mittag–Leffler function and solution of system of fractional differential equations

open access: yesAdvances in Difference Equations, 2018
The solutions of system of linear fractional differential equations of incommensurate orders are considered and analytic expressions for the solutions are given by using the Laplace transform and multi-variable Mittag–Leffler functions of matrix ...
Junsheng Duan
doaj   +1 more source

Oscillatory integrals for Mittag-Leffler functions with two variables: Oscillatory integrals for Mittag-Leffler functions

open access: yes
In this paper we consider the problem of estimation of oscillatory integrals with Mittag-Leffler functions in two variables. The generalisation is that we replace the exponential function with the Mittag-Leffler-type function, to study oscillatory type ...
IKROMOV, IA, Ruzhansky, M, SAFAROV, AR
core   +1 more source

From Waste to Functional Snack: Drying Kinetics, Neural Network Modeling, and Utilization of Tomato Pomace in Cracker Formulation

open access: yesFood Science &Nutrition, Volume 14, Issue 6, June 2026.
This study explores a zero‐waste circular economy approach by utilizing industrial tomato pomace as a functional ingredient in cracker production. To prepare the raw material, the drying kinetics of tomato pomace were thoroughly investigated using convective oven drying (50°C–70°C) and microwave drying (240–400 W).
Tolga Kağan Tepe, Fadime Begüm Tepe
wiley   +1 more source

Numerical Modeling of Inertial Particles in Three‐Dimensional Fluid Flow

open access: yesProceedings 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

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

open access: yesInternational 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

Infinity‐operadic foundations for embedding calculus

open access: yesJournal 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

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

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

3D investigation and modeling of the geometric effects on porosity in packed beds

open access: yesAIChE Journal, Volume 72, Issue 5, May 2026.
Abstract In porous beds, physical boundaries restrict particle arrangement, leading to inhomogeneous porosity. This paper reports on the porosity profiles that are the result of geometric effects on monodisperse packed beds in cylindrical and cubic arrangements. Special focus is given to the influence of edges and corners in cubic geometries.
Bastian Oldach   +3 more
wiley   +1 more source

An Estimate for the Multivariate Mittag-Leffler Function

open access: yes
In this contribution, we discuss Maes and Van Bockstal (Fract Calc Appl Anal 26(4) 2023, Lemma 5). This lemma provides a bound on the multivariate Mittag-Leffler function, which may be valuable in the analysis of multiterm time-fractional wave equations.
Maes, Frederick, Van Bockstal, Karel
openaire   +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

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