Results 31 to 40 of about 3,440,867 (293)
Integral Equations of Non-Integer Orders and Discrete Maps with Memory
Mathematics, 2021 In this paper, we use integral equations of non-integer orders to derive discrete maps with memory. Note that discrete maps with memory were not previously derived from fractional integral equations of non-integer orders.
Vasily E. Tarasov
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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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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 variational problems depending on indefinite integrals [PDF]
, 2012 We obtain necessary optimality conditions for variational problems with a Lagrangian depending on a Caputo fractional derivative, a fractional and an indefinite integral.
Pooseh, Shakoor +8 more
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Fractional statistical dynamics and fractional kinetics
, 2016 We apply the subordination principle to construct kinetic fractional statistical dynamics in the continuum in terms of solutions to Vlasov-type hierarchies. As a by-product we obtain the evolution of the density of particles in the fractional kinetics in terms of a non-linear Vlasov-type kinetic equation. As an application we study the intermittency of
da Silva, Jose Luis +2 more
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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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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 DYNAMICS IN GENETIC ALGORITHMS [PDF]
IFAC Proceedings Volumes, 2006 Abstract This paper investigate the fractional-order dynamics during the evolution of a Genetic Algorithm (GA). In order to study the phenomena involved in the GA population evolution, the mutation is exposed to excitation perturbations during some generationsand the corresponding fitness variations are evaluated.
Pires, E. J. Solteiro +2 more
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