Results 51 to 60 of about 11,986 (150)

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

Numerical and Intelligent Modeling of MHD Casson Nanofluid Heat Transfer in Fractal Porous Cavities for Energy Systems

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
This study demonstrates that Al2O3–GNP hybrid nanofluids significantly enhance heat transfer in porous rectangular enclosures. Magnetic fields suppress velocity but raise temperature, while higher Biot and Brinkman numbers improve Nusselt number and entropy generation, highlighting effective thermal control in non‐Newtonian HNF systems.
Wajid Ullah   +4 more
wiley   +1 more source

Tur\'an type inequalities for regular Coulomb wave functions

open access: yes, 2015
Tur\'an, Mitrinovi\'c-Adamovi\'c and Wilker type inequalities are deduced for regular Coulomb wave functions. The proofs are based on a Mittag-Leffler expansion for the regular Coulomb wave function, which may be of independent interest.
Baricz, Árpád
core   +1 more source

Integrating Experimental Imaging and (Quantum‐Deformation)‐Curvature Dynamics in Bleb Morphogenesis

open access: yesEngineering Reports, Volume 8, Issue 4, April 2026.
We propose a (q,τ)$$ \left(q,\tau \right) $$‐fractional geometric flow model for cell blebbing that incorporates hereditary memory and viscoelastic effects in curvature‐driven membrane dynamics. Image‐based measurements of bleb geometry are coupled with fractional evolution equations and validated numerically.
Rabha W. Ibrahim   +2 more
wiley   +1 more source

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

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

Further results on Mittag-Leffler synchronization of fractional-order coupled neural networks

open access: yesAdvances in Difference Equations, 2021
In this paper, we focus on the synchronization of fractional-order coupled neural networks (FCNNs). First, by taking information on activation functions into account, we construct a convex Lur’e–Postnikov Lyapunov function.
Fengxian Wang, Fang Wang, Xinge Liu
doaj   +1 more source

Comments on the Properties of Mittag-Leffler Function

open access: yes, 2017
The properties of Mittag-Leffler function is reviewed within the framework of an umbral formalism. We take advantage from the formal equivalence with the exponential function to define the relevant semigroup properties.
Dattoli, Giuseppe   +4 more
core   +1 more source

A fractional residue theorem and its applications in calculating real integrals

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 4, April 2026.
Abstract As part of an ongoing effort to fractionalise complex analysis, we present a fractional version of the residue theorem, involving pseudo‐residues calculated at branch points. Since fractional derivatives are non‐local and fractional powers necessitate branch cuts, each pseudo‐residue depends on a line segment in the complex plane rather than a
Egor Zaytsev, Arran Fernandez
wiley   +1 more source

Asymptotic Expansion of the Modified Exponential Integral Involving the Mittag-Leffler Function

open access: yesMathematics, 2020
We consider the asymptotic expansion of the generalised exponential integral involving the Mittag-Leffler function introduced recently by Mainardi and Masina [Fract. Calc. Appl. Anal. 21 (2018) 1156−1169].
Richard Paris
doaj   +1 more source

On Fractional Helmholtz Equations [PDF]

open access: yes, 2010
MSC 2010: 26A33, 33E12, 33C60, 35R11In this paper we derive an analytic solution for the fractional Helmholtz equation in terms of the Mittag-Leffler function.
Samuel, M., Thomas, Anitha
core  

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