Results 21 to 30 of about 36,805 (178)
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
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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
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A Chiellini type integrability condition for the generalized first kind Abel differential equation [PDF]
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
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Relativistic dissipative cosmological models and abel differential equation
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Mak, MK, Harko, T
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G-Expectation, G-Brownian Motion and Related Stochastic Calculus of Ito's type [PDF]
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
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Équation de Pell–Abel et applications
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
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Center conditions at infinity for Abel differential equations [PDF]
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
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Dynamic Keynesian Model of Economic Growth with Memory and Lag
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
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Exact solution of the Susceptible–Exposed–Infectious–Recovered–Deceased (SEIRD) epidemic model
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
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Dynamics of freely moving plates connected by a shallow liquid bridge [PDF]
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
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