Fractional econophysics: market price dynamics with memory effects

DOI10.1016/j.physa.2020.124865OpenAlexW3039838328MaRDI QIDQ2141455

Vasily E. Tarasov

Publication date: 25 May 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2020.124865

zbMATH Keywords

fractional differential equationeconophysicsfractional dynamicsprocess with memorymarket prices dynamics

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Related Items (4)

Mathematical modeling of probability distribution of money by means of potential formation ⋮ Applying spline-based phase analysis to macroeconomic dynamics ⋮ Fractional‐order dynamical model for electricity markets ⋮ Novel algebraic criteria on global Mittag-Leffler synchronization for FOINNs with the Caputo derivative and delay

Uses Software

• longmemo

Cites Work

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• On the invalidity of semigroup property for the Mittag-Leffler function with two parameters
• What is a fractional derivative?
• Recent history of fractional calculus
• Fractional relaxation-oscillation and fractional diffusion-wave phenomena.
• No violation of the Leibniz rule. No fractional derivative
• A note on property of the Mittag-Leffler function
• Fractional dynamics. Applications of fractional calculus to dynamics of particles, fields and media
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Statistical physics II. Nonequilibrium statistical mechanics. Rev. transl. of the rev. orig. Jap. ed.
• The development of fractional calculus 1695-1900
• Time-dependent fractional dynamics with memory in quantum and economic physics
• Waiting-times and returns in high-frequency financial data: An empirical study
• On chain rule for fractional derivatives
• Dynamic intersectoral models with power-law memory
• Concept of dynamic memory in economics
• Self-organization with memory
• No nonlocality. No fractional derivative
• Information analysis of the human DNA
• Macroeconomic models with long dynamic memory: fractional calculus approach
• Some notes on properties of the matrix Mittag-Leffler function
• Econophysics and Physical Economics
• Applications in Physics, Part A
• The Statistical Mechanics of Financial Markets
• Fractional differencing
• AN INTRODUCTION TO LONG-MEMORY TIME SERIES MODELS AND FRACTIONAL DIFFERENCING
• Anomalous waiting times in high-frequency financial data
• Fractional Calculus: Integral and Differential Equations of Fractional Order
• Introduction to Econophysics
• Mittag-Leffler Functions, Related Topics and Applications
• Applications in Engineering, Life and Social Sciences, Part B

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