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Certain Properties of Extended Mittag-Leffler-Type Function of Arbitrary Order [PDF]

open access: yesمجلة جامعة النجاح للأبحاث العلوم الطبيعية
In this paper, we introduce a new extension of Mittag-Leffler function. We investigate its basic roperties, including recurrence relations, differential formulas, integral representations, aplace transform and Mellin transform.
Maged Bin-Saad, Jihad Younis
doaj   +1 more source

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

open access: yesAsia-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   +4 more
wiley   +1 more source

Geometry of Supergravity and the Batalin–Vilkovisky Formulation of the N=1$\mathcal N=1$ Theory in Ten Dimensions

open access: yesFortschritte der Physik, Volume 74, Issue 5, May 2026.
ABSTRACT We provide full details of a BV formulation of N=1$\mathcal N=1$ supergravity in 10 dimensions, to all orders in fermions, built from the generalised geometry description of the theory. In contrast to standard treatments, we introduce neither the degrees of freedom corresponding to orthonormal frames for the metric nor the local Lorentz ...
Julian Kupka   +2 more
wiley   +1 more source

SEMIGROUP-LIKE PROPERTY OF MITTAG-LEFFLER FUNCTION

open access: yes, 2016
In this article, we discuss the semigroup-like property of Mittag-Leffler function which is used to solve the initial value problem of an ordinary differential equation involving Caputo fractional ...
Guswanto, Bambang Hendriya
core   +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

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

(h−m) $(h-m)$-convex functions and associated fractional Hadamard and Fejér–Hadamard inequalities via an extended generalized Mittag-Leffler function

open access: yesJournal of Inequalities and Applications, 2019
The aim of this paper is to present the Hadamard and the Fejér–Hadamard integral inequalities for (h−m) $(h-m)$-convex functions due to an extended generalized Mittag-Leffler function.
Shin Min Kang   +3 more
doaj   +1 more source

MULTIVARIATE MITTAG-LEFFLER FUNCTION

open access: yes, 2023
This thesis presents an exploration of a variant of the multivariate Mittag-Leffler function, with a focus on its properties and applications in the context of solving differential equations.
Abilassan, Akmarzhan
core  

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

The Mittag-Leffler Fitting of the Phillips Curve

open access: yesMathematics, 2019
In this paper, a mathematical model based on the one-parameter Mittag-Leffler function is proposed to be used for the first time to describe the relation between the unemployment rate and the inflation rate, also known as the Phillips curve. The Phillips
Tomas Skovranek
doaj   +1 more source

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