Results 11 to 20 of about 281,920 (272)
Alexandria Engineering Journal, 2023 In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla +2 more
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Advances in Difference Equations, 2021 This paper will solve one of the fractional mathematical physics models, a one-dimensional time-fractional differential equation, by utilizing the second-order quarter-sweep finite-difference scheme and the preconditioned accelerated over-relaxation ...
Andang Sunarto +4 more
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Numerical Methods for Fractional Reaction-Dispersion Equation with Riesz Space Fractional Derivative [PDF]
Engineering and Technology Journal, 2011 In this paper, a numerical solution of fractional reaction-dispersion equation with Riesz space fractional derivative has been presented. The algorithm for the numerical solution for this equation is based on two finite difference methods.
I. I. Gorial
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Stability analysis of fractional difference equations with delay
Chaos: An Interdisciplinary Journal of Nonlinear Science, 2023 Long-term memory is a feature observed in systems ranging from neural networks to epidemiological models. The memory in such systems is usually modeled by the time delay. Furthermore, the nonlocal operators, such as the “fractional order difference,” can also have a long-time memory.
Divya D. Joshi +2 more
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Anomalous g-Factors for Charged Leptons in a Fractional Coarse-Grained Approach [PDF]
, 2013 In this work, we investigate aspects of the electron, muon and tau gyromagnetic ratios (g-factor) in a fractional coarse-grained scenario, by adopting a Modified Riemann-Liouville (MRL) fractional calculus.
Helayël-Neto, J. Abdalla +1 more
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Numerical solution of nonlinear fractional Riccati differential equations using compact finite difference method [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 This paper aims to apply and investigate the compact finite difference methods for solving integer-order and fractional-order Riccati differential equations. The fractional derivative in the fractional case is described in the Caputo sense.
H. Porki, M. Arabameri, R. Gharechahi
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Generalized Fractional Nonlinear Birth Processes [PDF]
, 2015 We consider here generalized fractional versions of the difference-differential equation governing the classical nonlinear birth process. Orsingher and Polito (Bernoulli 16(3):858-881, 2010) defined a fractional birth process by replacing, in its ...
BEGHIN, Luisa +2 more
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Fractional calculus of periodic distributions [PDF]
, 2011 Two approaches for defining fractional derivatives of periodic distributions are presented. The first is a distributional version of the Weyl fractional derivative in which a derivative of arbitrary order of a periodic distribution is defined via Fourier
Khan, Khaula Naeem +2 more
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Finite difference method for a nonlinear fractional Schrödinger equation with Neumann condition [PDF]
E-Journal of Analysis and Applied Mathematics, 2020 In this paper, a special case of nonlinear fractional Schrödinger equation with Neumann boundary condition is considered. Finite difference method is implemented to solve the nonlinear fractional Schrödinger problem with Neumann boundary condition ...
Betul Hicdurmaz
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High-order Compact Difference Schemes for the Modified Anomalous Subdiffusion Equation [PDF]
, 2015 In this paper, two kinds of high-order compact finite difference schemes for second-order derivative are developed. Then a second-order numerical scheme for Riemann-Liouvile derivative is established based on fractional center difference operator.
Ding, Hengfei, Li, Changpin
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