Results 51 to 60 of about 5,801,198 (158)

Some integral transforms of the generalized k-Mittag-Leffler function

Publications de l'Institut Mathematique, 2019
We generalize the notion ?k-Mittag-Leffler function?, establish some integral transforms of the generalized k-Mittag-Leffler function, and derive several special and known conclusions in terms of the generalized Wright function and the generalized k-Wright function.
Feng Qi, Kottakkaran Sooppy Nisar
openaire   +3 more sources

On local fractional integral inequalities via generalized (h˜1,h˜2)\left({\tilde{h}}_{1},{\tilde{h}}_{2})-preinvexity involving local fractional integral operators with Mittag-Leffler kernel

Demonstratio Mathematica, 2023
Local fractional integral inequalities of Hermite-Hadamard type involving local fractional integral operators with Mittag-Leffler kernel have been previously studied for generalized convexities and preinvexities.
Vivas-Cortez Miguel, Bibi Maria, Muddassar Muhammad, Al-Sa’di Sa’ud   +3 more
doaj   +1 more source

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

Mathematical 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, Yaya Wang, Hongyin Geng, Wei Gao, Esin Ilhan, Haci Mehmet Baskonus   +5 more
wiley   +1 more source

Viscoelastic Modeling of Stress Relaxation in Model High‐Performance Covalent Adaptable Networks

Journal of Polymer Science, EarlyView.
Covalent adaptable networks, often referred to as vitrimers, contain a certain fraction of bonds that are able to exchange with other bonds. The ability of this bond exchange to relax stress or result in flow of the material depends on the concentration and specific concentration of these bonds in ways that can be quantified.
Broderick Lewis, Benjamin R. Hafner, Cheol Park, Joseph M. Dennis, Kenneth R. Shull   +4 more
wiley   +1 more source

Fractional Moment Theory for Anomalous Transport: A Unified Framework for Lévy Flights, Fractals, and Complex Dynamical Systems

Mathematical Methods in the Applied Sciences, Volume 49, Issue 13, Page 14964-15009, 15 September 2026.
ABSTRACT We develop a unified mathematical framework extending classical moment theory from discrete integer orders to a continuous spectrum of real orders f>0$$ f>0 $$, providing a systematic statistical characterization of complex systems exhibiting power‐law behavior.
Farrukh A. Chishtie
wiley   +1 more source

Some applications of the generalized Laplace transform and the representation of a solution to Sobolev-type evolution equations with the generalized Caputo derivative [PDF]

Bulletin of the Polish Academy of Sciences: Technical Sciences
We introduce the Sobolev-type multi-term μ-fractional evolution with generalized fractional orders with respect to another function. We make some applications of the generalized Laplace transform.
Mustafa Aydin, Nazim Mahmudov
doaj   +1 more source

Certain Quantum Operator Related to Generalized Mittag–Leffler Function

Mathematics, 2023
In this paper, we present a novel class of analytic functions in the form h(z)=zp+∑k=p+1∞akzk in the unit disk. These functions establish a connection between the extended Mittag–Leffler function and the quantum operator presented in this paper, which is
Mansour F. Yassen, Adel A. Attiya
doaj   +1 more source

Transient Charging of Mixed Ionic‐Electronic Conductors by Anomalous Diffusion

Advanced Materials, Volume 38, Issue 51, 11 September 2026.
This article explores charge transport in mixed ionic‐electronic conductors (MIECs) through electrochemical impedance spectroscopy and transient current analysis. Focusing on PEDOT:PSS, WO3, and n‐doped PBDF, it uncovers the impact of anomalous diffusion via fractional modeling. The study reveals key correlations that deepen understanding and guide the
Heyi Zhang, Gonzalo Rivera‐Sierra, Shirin Siahjani‐Gultekin, Jenifer Rubio‐Magnieto, Anis Allagui, Ignacio Sanjuán, David Franco, Antonio Guerrero, Enrique H. Balaguera, Juan Bisquert   +9 more
wiley   +1 more source

An Overview of Generalized Gamma Mittag–Leffler Model and Its Applications

Axioms, 2015
Recently, probability models with thicker or thinner tails have gained more importance among statisticians and physicists because of their vast applications in random walks, Lévi flights, financial modeling, etc.
Seema S. Nair
doaj   +1 more source

Jackson Differential Operator Associated with Generalized Mittag–Leffler Function

Fractal and Fractional, 2023
Quantum calculus plays a significant role in many different branches such as quantum physics, hypergeometric series theory, and other physical phenomena.
Adel A. Attiya, Mansour F. Yassen, Abdelhamid Albaid   +2 more
doaj   +1 more source