Results 41 to 50 of about 167 (138)

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

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

Models for Temporal Clustering of Extreme Events With Applications to Mid‐Latitude Winter Cyclones

Environmetrics, Volume 37, Issue 6, September 2026.
ABSTRACT The occurrence of extreme events like heavy precipitation or storms at a certain location often shows a clustering behavior and is thus not described well by a Poisson process. We construct a general model for the inter‐exceedance times (IETs) in between extreme events which combines different candidate models for such behavior. One of them is
Christina Mathieu, Merle Mendel, Katharina Hees, Roland Fried   +3 more
wiley   +1 more source

Fejér–Hadamard Type Inequalities for (α, h-m)-p-Convex Functions via Extended Generalized Fractional Integrals

, 2021
Integral operators of a fractional order containing the Mittag-Leffler function are important generalizations of classical Riemann–Liouville integrals. The inequalities that are extensively studied for fractional integral operators are the Hadamard type ...
Muhammad Yussouf, Kamsing Nonlaopon, Ghulam Farid   +2 more
core   +1 more source

Fractal–fractional model for analysis of tuberculosis infection using Ethiopia incidence data

Quantitative Biology, Volume 14, Issue 3, September 2026.
Abstract In this study, a fractional‐order SEIuITR $SE{I}_{u}ITR$ model was proposed to examine the transmission of tuberculosis (TB) in the community. The proposed model was rigorously examined for well‐posedness. The basic reproduction number was also derived, and the disease‐free equilibrium was obtained.
Kumama Regassa Cheneke, Fatmawati Fatmawati, Mustafa Bayram   +2 more
wiley   +1 more source

Generalized Unimodality and Subordinators, With Applications to Stable Laws and to the Mittag-Leffler Function

Journal of Theoretical Probability, 2023
Using the differential operator $Ω_s := s I − x d/dx , s > 0$, we build a new class of infinitely divisible distributions on the half-line. For this class, we give a stochastic interpretation and we provide several monotonicity properties for the associated subordinators.
Safa Bridaa, Wissem Jedidi, Hristo Sendov   +2 more
openaire   +2 more sources

q-Analogues of Lyapunov-type inequalities involving Riemann–Liouville fractional derivatives

Қарағанды университетінің хабаршысы. Математика сериясы
In this article, new q-analogues of Lyapunov-type inequalities are presented for two-point fractional boundary value problems involving the Riemann–Liouville fractional q-derivative with well-posed q-boundary conditions.
N.S. Tokmagambetov, B.K. Tolegen
doaj   +1 more source

Simple homotopy theory for Fukaya categories

Journal of Topology, Volume 19, Issue 3, September 2026.
Abstract We develop a categorical framework for simple homotopy theory in Fukaya categories, based on the fundamental group of the ambient symplectic manifold. When the first Chern class vanishes, we show that any isomorphism in the Fukaya category of a Weinstein manifold has trivial Whitehead torsion.
Yonghwan Kim
wiley   +1 more source

On a generalization of Mittag-Leffler function and its properties

Journal of Mathematical Analysis and Applications, 2007
It is introduced a generalization of the classical Mittag-Leffler function, namely \[ E_{\alpha,\beta}^{\gamma, q}(z) = \sum\limits_{n=0}^{\infty} \frac{\Gamma(\gamma + q n)}{\Gamma(q) \Gamma(\alpha n +\beta)} \frac{z^n}{n!}.\tag{1} \] Algebraic relations, as well as differentiation formulas are determined.
Shukla, A.K., Prajapati, J.C.
openaire   +1 more source

(p, k) Matrix Mittag-Leffler and Pochhammer Functions With Applications to Fractional Differential Systems

Abstract and Applied Analysis
In this study, we introduce the two-parameter Pochhammer matrix function. Notably, we establish the (p, k) Pochhammer matrix symbol as a key new construct for our generalizations.
Mohamed S. Al–Sheikh, Ahmed Bakhet, Ahmed Adly Mahmoud, Ahmed M. Zahran   +3 more
doaj   +1 more source