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

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 su...

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