TY - BOOK ID - 145964781 TI - Mathematical Economics : Application of Fractional Calculus PY - 2020 PB - Basel, Switzerland MDPI - Multidisciplinary Digital Publishing Institute DB - UniCat KW - Economics, finance, business & management KW - mathematical economics KW - economic theory KW - fractional calculus KW - fractional dynamics KW - long memory KW - non-locality KW - fractional generalization KW - econometric modelling KW - identification KW - Phillips curve KW - Mittag-Leffler function KW - generalized fractional derivatives KW - growth equation KW - Mittag-Leffler function KW - Caputo fractional derivative KW - economic growth model KW - least squares method KW - fractional diffusion equation KW - fundamental solution KW - option pricing KW - risk sensitivities KW - portfolio hedging KW - business cycle model KW - stability KW - time delay KW - time-fractional-order KW - Hopf bifurcation KW - Einstein's evolution equation KW - Kolmogorov-Feller equation KW - diffusion equation KW - self-affine stochastic fields KW - random market hypothesis KW - efficient market hypothesis KW - fractal market hypothesis KW - financial time series analysis KW - evolutionary computing KW - modelling KW - economic growth KW - prediction KW - Group of Twenty KW - pseudo-phase space KW - economy KW - system modeling KW - deep assessment KW - least squares KW - modeling KW - GDP per capita KW - LSTM KW - econophysics KW - continuous-time random walk (CTRW) KW - Mittag-Leffler functions KW - Laplace transform KW - Fourier transform KW - mathematical economics KW - economic theory KW - fractional calculus KW - fractional dynamics KW - long memory KW - non-locality KW - fractional generalization KW - econometric modelling KW - identification KW - Phillips curve KW - Mittag-Leffler function KW - generalized fractional derivatives KW - growth equation KW - Mittag-Leffler function KW - Caputo fractional derivative KW - economic growth model KW - least squares method KW - fractional diffusion equation KW - fundamental solution KW - option pricing KW - risk sensitivities KW - portfolio hedging KW - business cycle model KW - stability KW - time delay KW - time-fractional-order KW - Hopf bifurcation KW - Einstein's evolution equation KW - Kolmogorov-Feller equation KW - diffusion equation KW - self-affine stochastic fields KW - random market hypothesis KW - efficient market hypothesis KW - fractal market hypothesis KW - financial time series analysis KW - evolutionary computing KW - modelling KW - economic growth KW - prediction KW - Group of Twenty KW - pseudo-phase space KW - economy KW - system modeling KW - deep assessment KW - least squares KW - modeling KW - GDP per capita KW - LSTM KW - econophysics KW - continuous-time random walk (CTRW) KW - Mittag-Leffler functions KW - Laplace transform KW - Fourier transform UR - https://www.unicat.be/uniCat?func=search&query=sysid:145964781 AB - 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. ER -