Results 21 to 30 of about 36,805 (178)

An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

open access: yesAdvances in Difference Equations, 2021
Our aim in this paper is presenting an attractive numerical approach giving an accurate solution to the nonlinear fractional Abel differential equation based on a reproducing kernel algorithm with model endowed with a Caputo–Fabrizio fractional ...
Mohammed Al-Smadi   +4 more
doaj   +1 more source

A Generalized Finite Difference Method for Solving Hamilton–Jacobi–Bellman Equations in Optimal Investment

open access: yesMathematics, 2023
This paper studies the numerical algorithm of stochastic control problems in investment optimization. Investors choose the optimal investment to maximize the expected return under uncertainty.
Jiamian Lin   +3 more
doaj   +1 more source

A Chiellini type integrability condition for the generalized first kind Abel differential equation [PDF]

open access: yes, 2013
The Chiellini integrability condition of the first order first kind Abel equation $dy/dx=f(x)y^2+g(x)y^3$ is extended to the case of the general Abel equation of the form $dy/dx=a(x)+b(x)y+f(x)y^{\alpha -1}+g(x)y^{\alpha}$, where $\alpha \in \Re$, and ...
Harko, Tiberiu   +2 more
core   +1 more source

Relativistic dissipative cosmological models and abel differential equation

open access: yesComputers & Mathematics with Applications, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mak, MK, Harko, T
openaire   +3 more sources

G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Ito's type [PDF]

open access: yes, 2006
We introduce a notion of nonlinear expectation --G--expectation-- generated by a nonlinear heat equation with infinitesimal generator G. We first discuss the notion of G-standard normal distribution.
Peng, Shige
core   +3 more sources

Équation de Pell–Abel et applications

open access: yesComptes Rendus. Mathématique, 2022
In this paper, we show that there are solutions of degree $r$ of the equation of Pell–Abel on some real hyperelliptic curve of genus $g$ if and only if $ r > g$.
Gendron, Quentin
doaj   +1 more source

Center conditions at infinity for Abel differential equations [PDF]

open access: yesAnnals of Mathematics, 2010
It is said that the Abel differential equation \[ y'=p(x) y^2+q(x) y^3,\tag{1} \] where \(p\) and \(q\) are polynomials, has a center at a set \(A=\{a_1,\dots, a_r\}\) of complex numbers if \(y(a_1)=\dots=y(a_r)\) for any solution \(y(x)\) with the initial value \(y(a_1)\) sufficiently small.
Briskin, Miriam   +2 more
openaire   +2 more sources

Dynamic Keynesian Model of Economic Growth with Memory and Lag

open access: yesMathematics, 2019
A mathematical model of economic growth with fading memory and continuous distribution of delay time is suggested. This model can be considered as a generalization of the standard Keynesian macroeconomic model.
Vasily E. Tarasov   +1 more
doaj   +1 more source

Exact solution of the Susceptible–Exposed–Infectious–Recovered–Deceased (SEIRD) epidemic model

open access: yesElectronic Journal of Qualitative Theory of Differential Equations
An exact solution of an initial value problem for the Susceptible–Exposed–Infectious–Recovered–Deceased (SEIRD) epidemic model is derived, and various properties of the exact solution are obtained.
Norio Yoshida
doaj   +1 more source

Dynamics of freely moving plates connected by a shallow liquid bridge [PDF]

open access: yes, 2011
We study the dynamics of freely moving plates connected by a shallow liquid bridge via analytic and experimental methods. The gap between the plates is used as a small parameter within a lubrication approximation, reducing the problem to an Abel equation
Gat, Amir   +2 more
core   +1 more source

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