Results 61 to 70 of about 5,801,198 (158)

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

Control parameter & solutions to generalized evolution equations of stationarity, relaxation and diffusion

Results in Physics, 2018
It has become a conjecture that power series like Mittag-Leffler functions and their variants naturally govern solutions to most of generalized fractional evolution models such as kinetic, diffusion or relaxation equations. Is this always true?
Emile Franc Doungmo Goufo, Yazir Khan, Stella Mugisha   +2 more
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

Laplace transform and the Mittag-Leffler function

, 2014
CAPES - COORDENAÇÃO DE APERFEIÇOAMENTO DE PESSOAL E NÍVEL SUPERIORThe exponential function is solution of a linear differential equation with constant coefficients, and the Mittag-Leffler function is solution of a fractional linear differential equation ...
Teodoro, G. Sales, Oliveira, E. Capelas de   +1 more
core   +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

Syntomic cohomology and real topological cyclic homology

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We define motivic filtrations on real topological Hochschild homology and its companions. In particular, we prove that real topological cyclic homology admits a natural complete filtration whose graded pieces are equivariant suspensions of syntomic cohomology.
Doosung Park
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

On the solutions of certain fractional kinetic equations involving k-Mittag-Leffler function

Advances in Difference Equations, 2018
The aim of the present paper is to develop a new generalized form of the fractional kinetic equation involving a generalized k-Mittag-Leffler function Ek,ζ,ηγ,ρ(⋅) $E^{\gamma,\rho}_{k,\zeta,\eta}(\cdot)$. The solutions of fractional kinetic equations are
P. Agarwal, M. Chand, D. Baleanu, D. O’Regan, Shilpi Jain   +4 more
doaj   +1 more source

Geometric Studies on Mittag-Leffler Type Function Involving a New Integrodifferential Operator

Mathematics, 2022
The generalized exponential function in a complex domain is called the Mittag-Leffler function (MLF). The implementations of MLF are significant in diverse areas of science. Over the past few decades, MLF and its analysis with generalizations have become
F. Ghanim, Hiba F. Al-Janaby, Marwan Al-Momani, Belal Batiha   +3 more
doaj   +1 more source

Uncertainty Quantification of Analytical Solutions for the Nonlinear Space and Time Fractional Order ϕ4$$ {\phi}^4 $$ Equation Under Fuzziness

Engineering Reports, Volume 8, Issue 7, July 2026.
Analytical fuzzy soliton solutions of a modified space–time fractional ϕ4$$ {\phi}^4 $$ model are derived using EHFM, capturing memory effects and uncertainty. Results reveal diverse wave structures and show how fractional order and fuzziness significantly influence soliton amplitude, localization, and propagation, with heightened sensitivity near the ...
Mohsin Khalid, Neha Andaleeb Khalid, Baboucarr Ceesay, Zafar Iqbal   +3 more
wiley   +1 more source