Results 31 to 40 of about 58,651 (306)
Discrete q-Exponential Limit Order Cancellation Time Distribution
Fractal and Fractional, 2023 Modeling financial markets based on empirical data poses challenges in selecting the most appropriate models. Despite the abundance of empirical data available, researchers often face difficulties in identifying the best fitting model.
Vygintas Gontis
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An application of fractional calculus to dielectric relaxation processes
, 2012 Recently fractional calculus has been successfully applied in the description of complex dynamics and proved to be a valuable tool for the solution of non-linear differential equations.
Çavuş M., Bozdemir S.
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General Fractional Vector Calculus
Mathematics, 2021 A generalization of fractional vector calculus (FVC) as a self-consistent mathematical theory is proposed to take into account a general form of non-locality in kernels of fractional vector differential and integral operators.
Vasily E. Tarasov
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Fractional dynamics in the Rayleigh’s piston [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Fractional boundary value problems: Analysis and numerical methods [PDF]
, 2011 This is the author's PDF of an article published in Fractional Calculus and Applied Analysis 2011. The original publication is available at www.springerlink.comThis journal article discusses nonlinear boundary value problems.Fundacao para a Ciencia e ...
M. Luísa Morgado +3 more
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Fractal Properties of the Magnetic Polarity Scale in the Stochastic Hereditary αω-Dynamo Model
Fractal and Fractional, 2022 We study some fractal properties of the hereditary αω-dynamo model in the two-mode approximation. The phase variables of the model describe the temporal dynamics of the toroidal and poloidal components of the magnetic field.
Gleb Vodinchar , Lyubov Feshchenko
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Fractional-time quantum dynamics [PDF]
Physical Review E, 2009 Application of the fractional calculus to quantum processes is presented. In particular, the quantum dynamics is considered in the framework of the fractional time Schrödinger equation (SE), which differs from the standard SE by the fractional time derivative: $\frac{\prt}{\prt t}\to \frac{\prt^α}{\prt t^α}$. It is shown that for $α=1/2$ the fractional
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Periodically Kicked Rotator with Power-Law Memory: Exact Solution and Discrete Maps
Fractal and FractionalThis article discusses the transformation of a continuous-time model of the fractional system into a discrete-time model of the fractional system. For the continuous-time model, the exact solution of the nonlinear equation with fractional derivatives ...
Vasily E. Tarasov
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Fractal and Fractional, 2023 We analyze an extension of the dual-phase lag model of thermal diffusion theory to accurately predict the contribution of thermoelastic bending (TE) to the Photoacoustic (PA) signal in a transmission configuration.
Aloisi Somer +4 more
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Generalized continuous-time random walks, subordination by hitting times, and fractional dynamics [PDF]
, 2009 Functional limit theorems for continuous-time random walks (CTRW) are found in the general case of dependent waiting times and jump sizes that are also position dependent.
Kolokoltsov, V. N. (Vasiliĭ Nikitich)
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