04024nam 2200997z- 450 991055743690332120210501(CKB)5400000000043354(oapen)https://directory.doabooks.org/handle/20.500.12854/68588(oapen)doab68588(EXLCZ)99540000000004335420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMathematical EconomicsApplication of Fractional CalculusBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 online resource (278 p.)3-03936-118-X 3-03936-119-8 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.Mathematical Economics Economics, Finance, Business and Managementbicsscbusiness cycle modelCaputo fractional derivativecontinuous-time random walk (CTRW)deep assessmentdiffusion equationeconometric modellingeconomic growtheconomic growth modeleconomic theoryeconomyeconophysicsefficient market hypothesisEinstein's evolution equationevolutionary computingfinancial time series analysisFourier transformfractal market hypothesisfractional calculusfractional diffusion equationfractional dynamicsfractional generalizationfundamental solutionGDP per capitageneralized fractional derivativesGroup of Twentygrowth equationHopf bifurcationidentificationKolmogorov-Feller equationLaplace transformleast squaresleast squares methodlong memoryLSTMmathematical economicsMittag-Leffler functionMittag-Leffler functionMittag-Leffler functionsmodelingmodellingn/anon-localityoption pricingPhillips curveportfolio hedgingpredictionpseudo-phase spacerandom market hypothesisrisk sensitivitiesself-affine stochastic fieldsstabilitysystem modelingtime delaytime-fractional-orderEconomics, Finance, Business and ManagementTarasov Vasily Eedt1217729Tarasov Vasily EothBOOK9910557436903321Mathematical Economics3036019UNINA