Mathematical Economics : Application of Fractional Calculus

Mathematical Economics : Application of Fractional Calculus

This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fraction...

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Tarasov, Vasily E.
Year of Publication:2020
Language:English
Physical Description:1 electronic resource (278 p.)
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(oapen)https://directory.doabooks.org/handle/20.500.12854/68588
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spelling Tarasov, Vasily E. edt
Mathematical Economics Application of Fractional Calculus
Mathematical Economics
Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute 2020
1 electronic resource (278 p.)
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
This book is devoted to the application of fractional calculus in economics to describe processes with memory and non-locality. Fractional calculus is a branch of mathematics that studies the properties of differential and integral operators that are characterized by real or complex orders. Fractional calculus methods are powerful tools for describing the processes and systems with memory and nonlocality. Recently, fractional integro-differential equations have been used to describe a wide class of economical processes with power law memory and spatial nonlocality. Generalizations of basic economic concepts and notions the economic processes with memory were proposed. New mathematical models with continuous time are proposed to describe economic dynamics with long memory. This book is a collection of articles reflecting the latest mathematical and conceptual developments in mathematical economics with memory and non-locality based on applications of fractional calculus.
English
Economics, finance, business & management bicssc
mathematical economics
economic theory
fractional calculus
fractional dynamics
long memory
non-locality
fractional generalization
econometric modelling
identification
Phillips curve
Mittag-Leffler function
generalized fractional derivatives
growth equation
Caputo fractional derivative
economic growth model
least squares method
fractional diffusion equation
fundamental solution
option pricing
risk sensitivities
portfolio hedging
business cycle model
stability
time delay
time-fractional-order
Hopf bifurcation
Einstein's evolution equation
Kolmogorov-Feller equation
diffusion equation
self-affine stochastic fields
random market hypothesis
efficient market hypothesis
fractal market hypothesis
financial time series analysis
evolutionary computing
modelling
economic growth
prediction
Group of Twenty
pseudo-phase space
economy
system modeling
deep assessment
least squares
modeling
GDP per capita
LSTM
econophysics
continuous-time random walk (CTRW)
Mittag-Leffler functions
Laplace transform
Fourier transform
3-03936-118-X
3-03936-119-8
Tarasov, Vasily E. oth
language English
format eBook
author2 Tarasov, Vasily E.
author_facet Tarasov, Vasily E.
author2_variant v e t ve vet
author2_role Sonstige
title Mathematical Economics Application of Fractional Calculus
spellingShingle Mathematical Economics Application of Fractional Calculus
title_sub Application of Fractional Calculus
title_full Mathematical Economics Application of Fractional Calculus
title_fullStr Mathematical Economics Application of Fractional Calculus
title_full_unstemmed Mathematical Economics Application of Fractional Calculus
title_auth Mathematical Economics Application of Fractional Calculus
title_alt Mathematical Economics
title_new Mathematical Economics
title_sort mathematical economics application of fractional calculus
publisher MDPI - Multidisciplinary Digital Publishing Institute
publishDate 2020
physical 1 electronic resource (278 p.)
isbn 3-03936-118-X
3-03936-119-8
illustrated Not Illustrated
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is_hierarchy_title Mathematical Economics Application of Fractional Calculus
author2_original_writing_str_mv noLinkedField
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