Results 201 to 210 of about 2,326,753 (341)

Extending the hyper‐logistic model to the random setting: New theoretical results with real‐world applications

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
We develop a full randomization of the classical hyper‐logistic growth model by obtaining closed‐form expressions for relevant quantities of interest, such as the first probability density function of its solution, the time until a given fixed population is reached, and the population at the inflection point.
Juan Carlos Cortés   +2 more
wiley   +1 more source

A highly accurate numerical method for solving boundary value problem of generalized Bagley‐Torvik equation

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
A highly accurate numerical method is given for the solution of boundary value problem of generalized Bagley‐Torvik (BgT) equation with Caputo derivative of order 0<β<2$$ 0<\beta <2 $$ by using the collocation‐shooting method (C‐SM). The collocation solution is constructed in the space Sm+1(1)$$ {S}_{m+1}^{(1)} $$ as piecewise polynomials of degree at ...
Suzan Cival Buranay   +2 more
wiley   +1 more source

Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar   +3 more
wiley   +1 more source

A Generalized Representation of Faà Di Bruno'S Formula Using Multivariate and Matrix‐Valued Bell Polynomials

open access: yesMathematical Methods in the Applied Sciences, EarlyView.
ABSTRACT We provide a generalization of Faà di Bruno's formula to represent the n$$ n $$‐th total derivative of the multivariate and vector‐valued composite f∘g$$ f\circ g $$. To this end, we make use of properties of the Kronecker product and the n$$ n $$‐th derivative of the left‐composite f$$ f $$, which allow the use of a multivariate and matrix ...
Michael P. Evers, Markus Kontny
wiley   +1 more source

Abundant Neighborhoods, Two‐Sided Markets, and Maximal Matchings

open access: yesNaval Research Logistics (NRL), EarlyView.
ABSTRACT I introduce a new graph‐theoretic property called abundant neighborhoods. This property is motivated by studying the thickness of economic markets. A vertex is, roughly, guaranteed to match if and only if it has an abundant neighborhood.
Muhammad Maaz
wiley   +1 more source

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