Economic Dynamics with Memory : : Fractional Calculus Approach / / Vasily E. Tarasov, Valentina V. Tarasova.

• Superior document: Title is part of eBook package: De Gruyter DG Ebook Package English 2021
• VerfasserIn: Tarasov, Vasily E.,; Tarasova, Valentina V.,
• Place / Publishing House: Berlin ;, Boston : : De Gruyter, , [2021]; ©2021
• Year of Publication: 2021
• Language: English
• Series: Fractional Calculus in Applied Sciences and Engineering , 8
• Physical Description: 1 online resource (XXVI, 576 p.)

This book presents the applications of fractional calculus, fractional operators of non-integer orders and fractional differential equations in describing economic dynamics with long memory. Generalizations of basic economic concepts, notions and methods for the economic processes with memory are suggested. New micro and macroeconomic models with continuous time are proposed to describe the fractional economic dynamics with long memory as well.

Table of Contents

Frontmatter -- Preface -- Contents -- Introduction: economics with memory -- Part I: Concept of memory -- 1 Concept of memory in economics -- Part II: Concepts of economics with memory -- 2 Concepts of marginal values with memory -- 3 Marginal values of noninteger order in economic analysis -- 4 Deterministic factor analysis of processes with memory -- 5 Elasticity for processes with memory -- 6 Multiplier for processes with memory -- 7 Accelerator for processes with memory -- 8 Duality of multipliers and accelerators with memory -- Part III: Linear models of economics with memory -- 9 Model of natural growth with memory -- 10 Model of growth with constant pace and memory -- 11 Harrod–Domar growth model with memory -- 12 Dynamic intersectoral Leontief models with memory -- 13 Market price dynamics with memory effects -- 14 Cagan model of inflation with memory -- Part IV: Nonlinear models of economics with memory -- 15 Model of logistic growth with memory -- 16 Kaldor-type model of business cycles with memory -- 17 Solow models with power-law memory -- 18 Lucas model of learning with memory -- 19 Self-organization of processes with memory -- Part V: Advanced models: distributed lag and memory -- 20 Multipliers and accelerators with lag and memory -- 21 Harrod–Domar model with memory and distributed lag -- 22 Dynamic Keynesian model with memory and lag -- 23 Phillips model with distributed lag and memory -- Part VI: Advanced models: discrete time approach -- 24 Discrete accelerator with memory -- 25 Comparison of discrete and continuous accelerators -- 26 Exact discrete accelerator and multiplier with memory -- 27 Logistic map with memory from economic model -- Part VII: Advanced models: generalized memory -- 28 Economics model with generalized memory -- Part VIII: Instead of conclusion -- 29 Fractional calculus in economics and finance -- 30 Future directions of economics with memory -- Bibliography -- Index