Results 61 to 70 of about 1,991 (228)

Mittag‐Leffler type functions of three variables

Mathematical methods in the applied sciences
In this article, we generalized Mittag‐Leffler‐type functions F¯A(3),F¯B(3),F¯C(3)$$ {\overline{F}}_A^{(3)},{\overline{F}}_B^{(3)},{\overline{F}}_C^{(3)} $$ , and F¯D(3)$$ {\overline{F}}_D^{(3)} $$ , which ...
A. Hasanov, H. Yuldashova
semanticscholar   +1 more source

On generalized fractional integral with multivariate Mittag-Leffler function and its applications

Alexandria Engineering Journal, 2022
The fractional calculus (FC) has been extensively studied by researchers due to its vast applications in sciences in the last few years. In fractional calculus, multivariate Mittag–Leffler functions are considered the powerful extension of the classical Mittag–Leffler functions.
Amna Nazir, Gauhar Rahman, Asad Ali, Saima Naheed, Kottakkaran Soopy Nisar, Wedad Albalawi, Heba Y. Zahran   +6 more
openaire   +2 more sources

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

Anomalous Rotational Relaxation: A Fractional Fokker-Planck Equation Approach

, 2005
In this study we obtained analytically relaxation function in terms of rotational correlation functions based on Brownian motion for complex disordered systems in a stochastic framework.
A. Erdelyi, E. N. Ivanov, Ekrem Aydıner, J. C. Maxwell, J. H. Ro, J. P. Bouchaud, J. R. McConnell, K. B. Oldham, P. Debye, R. Kohlrausch, S. Dattagupta, W. F. Brown   +11 more
core   +2 more sources

A class of generalized Mittag-Leffler-type functions associated with the Lauricella functions of three variable

Filomat
In this article, we aim to study the Mittag-Leffler-type functions ~F(3)A , ~F(3) B , ~F(3) C and ~F(3) D , which correspond, respectively, to the familiar Lauricella hypergeometric functions F(3) A , F(3) B , F(3) C and F(3) D of three variables ...
H.M. Srivastava, H. Yuldashova
semanticscholar   +1 more source

Finite integral formula involving aleph-function and generalized Mittag-Leffler function

Проблемы анализа, 2020
Summary: The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases. For the sake of illustration, several corollaries are also presented as special case of our main results.
D. Kumar, F. Y. Ayant, A. Singh, P. K. Banerji   +3 more
openaire   +2 more sources

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

The Novel Numerical Solutions for Time‐Fractional Fishers Equation

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
A new method for solving time‐fractional partial differential equations (TFPDEs) is proposed in the paper. It is known as the fractional Kamal transform decomposition method (FKTDM). TFPDEs are approximated using the FKTDM. The FKTDM is particularly effective for solving various types of fractional partial differential equations (FPDEs), including time‐
Aslı Alkan, Hasan Bulut, Ercan Çelik, Zine El Abiddine Fellah   +3 more
wiley   +1 more source

Some fractional integral inequalities involving extended Mittag-Leffler function with applications

AIMS Mathematics
Integral inequalities and the Mittag-Leffler function play a crucial role in many branches of mathematics and applications, including fractional calculus, mathematical physics, and engineering.
Sabir Hussain, Rida Khaliq, Sobia Rafeeq, Azhar Ali, Jongsuk Ro   +4 more
doaj   +1 more source

A generalization of the Becker model in linear viscoelasticity: Creep, relaxation and internal friction

, 2018
We present a new rheological model depending on a real parameter $\nu \in [0,1]$ that reduces to the Maxwell body for $\nu=0$ and to the Becker body for $\nu=1$.
Mainardi, Francesco, Masina, Enrico, Spada, Giorgio   +2 more
core   +1 more source