LEADER 03983nam 2200973z- 450 001 9910557436903321 005 20231214133036.0 035 $a(CKB)5400000000043354 035 $a(oapen)https://directory.doabooks.org/handle/20.500.12854/68588 035 $a(EXLCZ)995400000000043354 100 $a20202105d2020 |y 0 101 0 $aeng 135 $aurmn|---annan 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aMathematical Economics$eApplication of Fractional Calculus 210 $aBasel, Switzerland$cMDPI - Multidisciplinary Digital Publishing Institute$d2020 215 $a1 electronic resource (278 p.) 311 $a3-03936-118-X 311 $a3-03936-119-8 330 $aThis 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. 517 $aMathematical Economics 606 $aEconomics, finance, business & management$2bicssc 610 $amathematical economics 610 $aeconomic theory 610 $afractional calculus 610 $afractional dynamics 610 $along memory 610 $anon-locality 610 $afractional generalization 610 $aeconometric modelling 610 $aidentification 610 $aPhillips curve 610 $aMittag-Leffler function 610 $ageneralized fractional derivatives 610 $agrowth equation 610 $aMittag-Leffler function 610 $aCaputo fractional derivative 610 $aeconomic growth model 610 $aleast squares method 610 $afractional diffusion equation 610 $afundamental solution 610 $aoption pricing 610 $arisk sensitivities 610 $aportfolio hedging 610 $abusiness cycle model 610 $astability 610 $atime delay 610 $atime-fractional-order 610 $aHopf bifurcation 610 $aEinstein's evolution equation 610 $aKolmogorov-Feller equation 610 $adiffusion equation 610 $aself-affine stochastic fields 610 $arandom market hypothesis 610 $aefficient market hypothesis 610 $afractal market hypothesis 610 $afinancial time series analysis 610 $aevolutionary computing 610 $amodelling 610 $aeconomic growth 610 $aprediction 610 $aGroup of Twenty 610 $apseudo-phase space 610 $aeconomy 610 $asystem modeling 610 $adeep assessment 610 $aleast squares 610 $amodeling 610 $aGDP per capita 610 $aLSTM 610 $aeconophysics 610 $acontinuous-time random walk (CTRW) 610 $aMittag-Leffler functions 610 $aLaplace transform 610 $aFourier transform 615 7$aEconomics, finance, business & management 700 $aTarasov$b Vasily E$4edt$01217729 702 $aTarasov$b Vasily E$4oth 906 $aBOOK 912 $a9910557436903321 996 $aMathematical Economics$93036019 997 $aUNINA