Results 21 to 30 of about 100,496 (301)
Open Physics, 2015 In this paper, a new computational algorithm called the "Improved Bernoulli sub-equation function method" has been proposed. This algorithm is based on the Bernoulli Sub-ODE method.
Baskonus Haci Mehmet, Bulut Hasan
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Some particular self-interacting diffusions: Ergodic behaviour and almost sure convergence [PDF]
, 2011 This paper deals with some self-interacting diffusions $(X_t,t\geq 0)$ living on $\mathbb{R}^d$. These diffusions are solutions to stochastic differential equations: \[\mathrm{d}X_t=\mathrm{d}B_t-g(t)\nabla V(X_t-\bar{\mu}_t)\,\mathrm{d}t,\] where $\bar{\
Chambeu, Sébastien, Kurtzmann, Aline
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Nonlinear Engineering, 2018 In this paper, the fractional derivatives in the sense of modified Riemann–Liouville and the Riccati-Bernoulli Sub-ODE method are used to construct exact solutions for some nonlinear partial fractional differential equations via the nonlinear fractional ...
Abdelrahman Mahmoud A.E.
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, 2006 In this paper a new class of generalized backward doubly stochastic differential equations is investigated. This class involves an integral with respect to an adapted continuous increasing process.
Boufoussi, Brahim +2 more
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American Journal of Applied Sciences, 2020 The work shows the q-deformation of Bernoulli’s equation, q-derivative and q-calculus are used to form a q-analogous of Bernoulli’s equation. We introduce the theorem of q-Bernoulli’s equation.
Salih Y. Arbab, Sami H. Altoum
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Numerical solution of a class of nonlinear two-dimensional integral equations using Bernoulli polynomials [PDF]
Sahand Communications in Mathematical Analysis, 2016 In this study, the Bernoulli polynomials are used to obtain an approximate solution of a class of nonlinear two-dimensional integral equations. To this aim, the operational matrices of integration and the product for Bernoulli polynomials are derived and
Sohrab Bazm
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A generalization of the Bernoulli polynomials
Journal of Applied Mathematics, 2003 A generalization of the Bernoulli polynomials and, consequently, of the Bernoulli numbers, is defined starting from suitable generating functions. Furthermore, the differential equations of these new classes of polynomials are derived by means of the ...
Pierpaolo Natalini, Angela Bernardini
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Journal of Function Spaces, 2022 In this paper, we obtain the novel exact traveling wave solutions in the form of trigonometric, hyperbolic and exponential functions for the nonlinear time fractional generalized reaction Duffing model and density dependent fractional diffusion-reaction ...
Imran Siddique +4 more
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Solutions of Bernoulli Equations in the Fractional Setting
Fractal and Fractional, 2021 We present a general series representation formula for the local solution of the Bernoulli equation with Caputo fractional derivatives. We then focus on a generalization of the fractional logistic equation and present some related numerical simulations.
Mirko D’Ovidio +2 more
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Identification and Estimation in an Incoherent Model of Contagion [PDF]
, 2007 This paper deals with the issues of identification and estimation in the canonical model of contagion advanced in Pesaran and Pick (2007). The model is a two-equation nonlinear simultaneous equations system with endogenous dummy variables; it also ...
Massacci, Daniele
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