03983nam 2200973z- 450 991055743690332120231214133036.0(CKB)5400000000043354(oapen)https://directory.doabooks.org/handle/20.500.12854/68588(EXLCZ)99540000000004335420202105d2020 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierMathematical EconomicsApplication of Fractional CalculusBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20201 electronic 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 & managementbicsscmathematical economicseconomic theoryfractional calculusfractional dynamicslong memorynon-localityfractional generalizationeconometric modellingidentificationPhillips curveMittag-Leffler functiongeneralized fractional derivativesgrowth equationMittag-Leffler functionCaputo fractional derivativeeconomic growth modelleast squares methodfractional diffusion equationfundamental solutionoption pricingrisk sensitivitiesportfolio hedgingbusiness cycle modelstabilitytime delaytime-fractional-orderHopf bifurcationEinstein's evolution equationKolmogorov-Feller equationdiffusion equationself-affine stochastic fieldsrandom market hypothesisefficient market hypothesisfractal market hypothesisfinancial time series analysisevolutionary computingmodellingeconomic growthpredictionGroup of Twentypseudo-phase spaceeconomysystem modelingdeep assessmentleast squaresmodelingGDP per capitaLSTMeconophysicscontinuous-time random walk (CTRW)Mittag-Leffler functionsLaplace transformFourier transformEconomics, finance, business & managementTarasov Vasily Eedt1217729Tarasov Vasily EothBOOK9910557436903321Mathematical Economics3036019UNINA