Mathematical Economics
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...
Wedi'i Gadw mewn:
| Fformat: | Online |
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| Iaith: | Saesneg |
| Cyhoeddwyd: |
MDPI - Multidisciplinary Digital Publishing Institute
2021
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| Pynciau: | |
| Mynediad Ar-lein: | ONIX_20210501_9783039361182_334 |
| Tagiau: |
Dim Tagiau, Byddwch y cyntaf i dagio'r cofnod hwn!
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| _version_ | 1869523162183499776 |
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| collection | Directory of Open Access Books |
| description | 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. |
| format | Online |
| id | doab-20.500.12854ir-68588 |
| institution | Directory of Open Access Books |
| language | eng |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| publisher | MDPI - Multidisciplinary Digital Publishing Institute |
| publisherStr | MDPI - Multidisciplinary Digital Publishing Institute |
| record_format | ojs |
| spelling | doab-20.500.12854ir-685882024-03-29T19:31:05Z Mathematical Economics Tarasov, Vasily E. 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 Mittag–Leffler function 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 n/a thema EDItEUR::K Economics, Finance, Business and Management 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. 2021-05-01T15:15:19Z 2021-05-01T15:15:19Z 2020 book ONIX_20210501_9783039361182_334 9783039361182 9783039361199 https://directory.doabooks.org/handle/20.500.12854/68588 eng application/octet-stream Attribution 4.0 International https://mdpi.com/books/pdfview/book/2350 https://mdpi.com/books/pdfview/book/2350 MDPI - Multidisciplinary Digital Publishing Institute 10.3390/books978-3-03936-119-9 10.3390/books978-3-03936-119-9 46cabcaa-dd94-4bfe-87b4-55023c1b36d0 9783039361182 9783039361199 278 Basel, Switzerland open access |
| spellingShingle | 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 Mittag–Leffler function 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 n/a thema EDItEUR::K Economics, Finance, Business and Management Mathematical Economics |
| title | Mathematical Economics |
| title_full | Mathematical Economics |
| title_fullStr | Mathematical Economics |
| title_full_unstemmed | Mathematical Economics |
| title_short | Mathematical Economics |
| title_sort | mathematical economics |
| topic | 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 Mittag–Leffler function 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 n/a thema EDItEUR::K Economics, Finance, Business and Management |
| topic_facet | 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 Mittag–Leffler function 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 n/a thema EDItEUR::K Economics, Finance, Business and Management |
| url | ONIX_20210501_9783039361182_334 |