Economic Dynamics with Memory: Fractional Calculus Approach

Vasily E. Tarasov; Valentina V. Tarasova

Published by De Gruyter 2021

Economic Dynamics with Memory

Fractional Calculus Approach

Vasily E. Tarasov and Valentina V. Tarasova

Volume 8 in the series Fractional Calculus in Applied Sciences and Engineering

https://doi.org/10.1515/9783110627459

Overview
Contents

About this book

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.

Presents the applications of modern fractional calculus in the dynamics of economic processes with long memory
Discusses new micro and macroeconomic models with continuous time
Multi-disciplinary topics suited for wide readership

Author / Editor information

Vasily E. Tarasov, Valentina V. Tarasova, Lomonosov Moscow State University, Moscow, Russia

Topics

Frontmatter Publicly Available Download PDF	I
Preface Publicly Available Download PDF	V
Contents Publicly Available Download PDF	IX
Introduction: economics with memory Publicly Available Download PDF	XIX
Part I: Concept of memory
1 Concept of memory in economics Requires Authentication Unlicensed Licensed Download PDF	1
Part II: Concepts of economics with memory
2 Concepts of marginal values with memory Requires Authentication Unlicensed Licensed Download PDF	55
3 Marginal values of noninteger order in economic analysis Requires Authentication Unlicensed Licensed Download PDF	76
4 Deterministic factor analysis of processes with memory Requires Authentication Unlicensed Licensed Download PDF	87
5 Elasticity for processes with memory Requires Authentication Unlicensed Licensed Download PDF	101
6 Multiplier for processes with memory Requires Authentication Unlicensed Licensed Download PDF	122
7 Accelerator for processes with memory Requires Authentication Unlicensed Licensed Download PDF	147
8 Duality of multipliers and accelerators with memory Requires Authentication Unlicensed Licensed Download PDF	172
Part III: Linear models of economics with memory
9 Model of natural growth with memory Requires Authentication Unlicensed Licensed Download PDF	193
10 Model of growth with constant pace and memory Requires Authentication Unlicensed Licensed Download PDF	206
11 Harrod–Domar growth model with memory Requires Authentication Unlicensed Licensed Download PDF	215
12 Dynamic intersectoral Leontief models with memory Requires Authentication Unlicensed Licensed Download PDF	242
13 Market price dynamics with memory effects Requires Authentication Unlicensed Licensed Download PDF	272
14 Cagan model of inflation with memory Requires Authentication Unlicensed Licensed Download PDF	298
Part IV: Nonlinear models of economics with memory
15 Model of logistic growth with memory Requires Authentication Unlicensed Licensed Download PDF	315
16 Kaldor-type model of business cycles with memory Requires Authentication Unlicensed Licensed Download PDF	325
17 Solow models with power-law memory Requires Authentication Unlicensed Licensed Download PDF	331
18 Lucas model of learning with memory Requires Authentication Unlicensed Licensed Download PDF	354
19 Self-organization of processes with memory Requires Authentication Unlicensed Licensed Download PDF	364
Part V: Advanced models: distributed lag and memory
20 Multipliers and accelerators with lag and memory Requires Authentication Unlicensed Licensed Download PDF	385
21 Harrod–Domar model with memory and distributed lag Requires Authentication Unlicensed Licensed Download PDF	408
22 Dynamic Keynesian model with memory and lag Requires Authentication Unlicensed Licensed Download PDF	419
23 Phillips model with distributed lag and memory Requires Authentication Unlicensed Licensed Download PDF	430
Part VI: Advanced models: discrete time approach
24 Discrete accelerator with memory Requires Authentication Unlicensed Licensed Download PDF	441
25 Comparison of discrete and continuous accelerators Requires Authentication Unlicensed Licensed Download PDF	450
26 Exact discrete accelerator and multiplier with memory Requires Authentication Unlicensed Licensed Download PDF	465
27 Logistic map with memory from economic model Requires Authentication Unlicensed Licensed Download PDF	474
Part VII: Advanced models: generalized memory
28 Economics model with generalized memory Requires Authentication Unlicensed Licensed Download PDF	491
Part VIII: Instead of conclusion
29 Fractional calculus in economics and finance Requires Authentication Unlicensed Licensed Download PDF	523
30 Future directions of economics with memory Requires Authentication Unlicensed Licensed Download PDF	532
Bibliography Requires Authentication Unlicensed Licensed Download PDF	541
Index Requires Authentication Unlicensed Licensed Download PDF	571

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers and students in fractional calculus, fractional dynamics, mathematical economy and modern economic dynamics.
Pages
- Front matter: 26
- Main content: 576
Illustrations
- Illustrations: 20
- Tables: 15

eBook

Published: January 18, 2021
ISBN: 9783110627459

Hardcover

Published: January 18, 2021
ISBN: 9783110624601