Results 81 to 90 of about 3,918 (208)

Existence, Stability, and Data‐Driven Analysis of a Fractional‐Order Avian Influenza Model in Poultry Farms

Engineering Reports, Volume 8, Issue 3, March 2026.
We develop and analyze a fractional‐order avian influenza chicken model for chicken farms, providing existence, uniqueness, and stability results. With real Bangladesh farm data and 80% vaccine efficacy, numerical results show that combining vaccination and treatment can control disease spread by reducing the basic reproduction number below one ...
Muhammad Altaf Khan, Mahmoud H. DarAssi, Irfan Ahmad, Ebraheem Alzahrani, Nurulfiza Mat Isa   +4 more
wiley   +1 more source

Oscillatory integrals for Mittag-Leffler functions with two variables

Comptes Rendus. Mathématique
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, Isroil A., Ruzhansky, Michael, Safarov, Akbar R.   +2 more
doaj   +1 more source

Some Fractional Calculus Results Pertaining To Mittag-Leffler Type Functions

, 2017
In this paper, we study the generalized fractional operators pertaining to the generalized Mittag-Leffler function and multi-index Mittag-Leffler function.
Jagdev Singh, Anupama Choudhary, Devendra Kumar   +2 more
core   +1 more source

Exploration of Soliton Solutions and Bifurcation Analysis in Fluid Dynamics Governed by M Fractional (3+1)‐Dimensional Generalized B‐Type Kadomtsev–Petviashvili (gBKP) Equation

Engineering Reports, Volume 8, Issue 2, February 2026.
Explore the soliton solutions, stability, and chaotic characteristics of the M fractional (3+1)‐dimensional generalized B‐type Kadomtsev–Petviashvili (gBKP) equation, where a Galilean transformation is performed to get the related system of equations.
Md. Habibul Bashar, Md. Abde Mannaf, Anika Rahman, Md. Shahinur Islam, Hure Zannatul Mawa, Parvin Akter   +5 more
wiley   +1 more source

A general approach to the linear stability of viscoelastic shear‐flows

ZAMM - Journal of Applied Mathematics and Mechanics / Zeitschrift für Angewandte Mathematik und Mechanik, Volume 106, Issue 2, February 2026.
Abstract The present work provides an in‐depth analysis of the linear stability theory of viscoelastic shear‐flows, based upon a constitutive equation of the fading memory type. The particular model considered herein was introduced by Kenneth Walters through the integration of classical rate‐type fluids in a convected frame (Walters 1962).
Johannes Conrad, Martin Oberlack
wiley   +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

An Estimate for the Multivariate Mittag-Leffler Function

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

Theorem for Series in Three-Parameter Mittag-Leffler Function [PDF]

, 2010
Mathematics Subject Classification 2010: 26A33, 33E12.The new result presented here is a theorem involving series in the three-parameter Mittag-Leffler function. As a by-product, we recover some known results and discuss corollaries.
Camargo, Rubens, Vaz, Jayme, Soubhia, Ana, Oliveira, Edmundo   +3 more
core  

Fractional Kinetic Modelling of the Adsorption and Desorption Processes From Experimental SPR Curves

Journal of Chemometrics, Volume 40, Issue 1, January 2026.
ABSTRACT The application of surface plasmon resonance (SPR) has transformed the study of interactions between a ligand immobilized on the surface of a sensor chip (LS$$ {L}_S $$) and an analyte in solution (A$$ A $$). This technique enables the real‐time monitoring of binding processes with high sensitivity. The adsorption–desorption dynamics, A+LS→ALS$
Higor V. M. Ferreira, Nelson H. T. Lemes, Yara L. Coelho, Luciano S. Virtuoso, Ana C. dos Santos Pires, Luis H. M. da Silva   +5 more
wiley   +1 more source

Rational Approximations for the Oscillatory Two-Parameter Mittag–Leffler Function

The two-parameter Mittag–Leffler function Eα,β is of fundamental importance in fractional calculus, and it appears frequently in the solutions of fractional differential and integral equations.
Aljowhara H. Honain, Ibrahim O. Sarumi, Abdul Q. M. Khaliq, Khaled M. Furati   +3 more
core   +1 more source