Results 61 to 70 of about 13,122 (219)

Fractional Tarig transform and Mittag - Leffler function

open access: yesBoletim da Sociedade Paranaense de Matemática, 2017
In the present paper the Tarig transform of fractional order is studied by employing Mittag - Leffler function. Properties of Tarig transform are proved using the same fractional Tarig transform.
Deshna Loonker, P. K. Banerji
openaire   +4 more sources

On the analyzing of bifurcation properties of the one‐dimensional Mackey–Glass model by using a generalized approach

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
The goal of this work is to look at how a nonlinear model describes hematopoiesis and its complexities utilizing commonly used techniques with historical and material links. Based on time delay, the Mackey–Glass model is explored in two instances. To offer a range, the relevance of the parameter impacting stability (bifurcation) is recorded.
Shuai Zhang   +5 more
wiley   +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  

Integral equations involving generalized Mittag-Leffler function

open access: yesUkrains’kyi Matematychnyi Zhurnal, 2020
UDC 517.5 The paper deals with solving the integral equation with a generalized Mittag-Leffler function E α , β γ , q ( z ) that defines a kernel using a fractional integral operator. The existence of the solution is justified and necessary conditions on the integral equation admiting a solution are ...
Rachana Desai   +2 more
openaire   +1 more source

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

open access: yesZAMM - 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

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

open access: yes, 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   +3 more
core  

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

open access: yesJournal 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   +5 more
wiley   +1 more source

Finite-Time Stability of Impulsive Fractional Differential Equations with Pure Delays

open access: yesAxioms, 2023
This paper introduces a novel concept of the impulsive delayed Mittag–Leffler-type vector function, an extension of the Mittag–Leffler matrix function.
Tingting Xie, Mengmeng Li
doaj   +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

Multiparameter K-Mittag-Leffler function [PDF]

open access: yesInternational Mathematical Forum, 2013
In this paper author introduce Multiparameter K-Mittag-Leffler Function definded as, pK (β,η)m q,k [z] = pK (β,η)m q,k [a1, .., ap; b1, .., bq , (β1, η1), .., (βm, ηm); z], pK (β,η)m q,k [z] = ∞ ∑ n=0 ∏p j=1(aj)n,k z n ∏q r=1(br)n,k ∏m i=1 Γk(ηin+ βi) , where k ∈ R+ = (0,∞); aj, br, βi ∈ C; ηi ∈ R (j = 1, 2, .., p; r = 1, 2, .., q; i = 1, 2, ..,m ...
openaire   +1 more source

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