Economic dynamics with memory: fractional calculus approach

In: Fractional calculus in applied sciences and engineering 8

Abstract

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