Results 21 to 30 of about 16,801 (158)
A fractional B-spline collocation method for the numerical solution of fractional predator-prey models [PDF]
, 2018 We present a collocation method based on fractional B-splines for the solution of fractional differential problems. The key-idea is to use the space generated by the fractional B-splines, i.e., piecewise polynomials of noninteger degree, as approximating
Pitolli, Francesca
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Approximate Solution of Fractional Integro-Differential Equations by Using Bernstein Polynomials [PDF]
Engineering and Technology Journal, 2012 In this paper, Bernstein piecewise polynomial is used to approximate the solution of the fractional integro-differential equations, in which the fractional derivative is described in the (Caputo) sense. Examples are considered to verify the effectiveness
Osama H. Mohammed, Sarmad A. Altaie
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Piecewise Business Bubble System under Classical and Nonsingular Kernel of Mittag–Leffler Law
Entropy, 2023 This study aims to investigate the dynamics of three agents in the emerging business bubble model based on the Mittag–Leffler law pertaining to the piecewise classical derivative and non-singular kernel.
Chao Zhang, Bo Li
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The flexible nature of exchange, correlation and Hartree physics: resolving "delocalization" errors in a 'correlation free' density functional [PDF]
, 2013 By exploiting freedoms in the definitions of 'correlation', 'exchange' and 'Hartree' physics in ensemble systems we better generalise the notion of 'exact exchange' (EXX) to systems with fractional occupations functions of the frontier orbitals, arising ...
Dobson, John F., Gould, Tim
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Mathematics, 2022 A new mathematical model of Coronavirus (2019-nCov) using piecewise hybrid fractional order derivatives is given in this paper. Moreover, in order to be consistent with the physical model problem, a new parameter μ is presented. The boundedness, existence, and positivity of the solutions for the proposed model are discussed.
Nasser H. Sweilam +4 more
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An Analysis of Galerkin Proper Orthogonal Decomposition for Subdiffusion [PDF]
, 2016 In this work, we develop a novel Galerkin-L1-POD scheme for the subdiffusion model with a Caputo fractional derivative of order $\alpha\in (0,1)$ in time, which is often used to describe anomalous diffusion processes in heterogeneous media.
Jin, Bangti, Zhou, Zhi
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Mathematics, 2021 This paper proposed a definition of the fractional line integral, generalising the concept of the fractional definite integral. The proposal replicated the properties of the classic definite integral, namely the fundamental theorem of integral calculus ...
Gabriel Bengochea, Manuel Ortigueira
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Numerical approximations for a fully fractional Allen-Cahn equation
, 2020 A finite element scheme for an entirely fractional Allen-Cahn equation with non-smooth initial data is introduced and analyzed. In the proposed nonlocal model, the Caputo fractional in-time derivative and the fractional Laplacian replace the standard ...
Acosta, Gabriel, Bersetche, Francisco
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Results in Physics, 2022 We consider a new mathematical model for the COVID-19 disease with Omicron variant mutation. We formulate in details the modeling of the problem with omicron variant in classical differential equations.
Xiao-Ping Li +6 more
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Superconvergence of a discontinuous Galerkin method for fractional diffusion and wave equations [PDF]
, 2012 We consider an initial-boundary value problem for $\partial_tu-\partial_t^{-\alpha}\nabla^2u=f(t)$, that is, for a fractional diffusion ...
Eriksson K. +2 more
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