Results 21 to 30 of about 53,428 (260)
Fractional Dynamics at Multiple Times [PDF]
Journal of Statistical Physics, 2012 A continuous time random walk (CTRW) imposes a random waiting time between random particle jumps. CTRW limit densities solve a fractional Fokker-Planck equation, but since the CTRW limit is not Markovian, this is not sufficient to characterize the process.
Meerschaert, Mark M., Straka, Peter
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Fractional Dynamics in Soccer Leagues [PDF]
Symmetry, 2020 This paper addresses the dynamics of four European soccer teams over the season 2018–2019. The modeling perspective adopts the concepts of fractional calculus and power law. The proposed model embeds implicitly details such as the behavior of players and coaches, strategical and tactical maneuvers during the matches, errors of referees and a multitude ...
António M. Lopes 0001 +1 more
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Mathematics, 2020 In this paper, we consider a nonlinear fractional differential equation. This equation takes the form of the Bernoulli differential equation, where we use the Caputo fractional derivative of non-integer order instead of the first-order derivative.
Vasily E. Tarasov
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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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Chaos Theory and Applications, 2022 Complex problems in nonlinear dynamics foreground the critical support of artificial phenomena so that each domain of complex systems can generate applicable answers and solutions to the pressing challenges.
Dumitru Baleanu, Yeliz Karaca
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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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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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Rules for Fractional-Dynamic Generalizations: Difficulties of Constructing Fractional Dynamic Models
Mathematics, 2019 This article is a review of problems and difficulties arising in the construction of fractional-dynamic analogs of standard models by using fractional calculus.
Vasily E. Tarasov
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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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On History of Mathematical Economics: Application of Fractional Calculus
Mathematics, 2019 Modern economics was born in the Marginal revolution and the Keynesian revolution. These revolutions led to the emergence of fundamental concepts and methods in economic theory, which allow the use of differential and integral calculus to describe ...
Vasily E. Tarasov
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