130 citations · 501 across the 9 of their papers we have counts for
9 papers
Accelerators in macroeconomics: Comparison of discrete and continuous approaches
Valentina V. Tarasova, Vasily E. Tarasov
We prove that the standard discrete-time accelerator equation cannot be considered as an exact discrete analog of the continuous-time accelerator equation. This leads to fact that…
Economic interpretation of fractional derivatives
Valentina V. Tarasova, Vasily E. Tarasov
An economic interpretation of the Caputo derivatives of non-integer orders is proposed. The suggested economic interpretation of the fractional derivatives is based on a generaliza…
Logistic map with memory from economic model
Valentina V. Tarasova, Vasily E. Tarasov
A generalization of the economic model of logistic growth, which takes into account the effects of memory and crises, is suggested. Memory effect means that the economic factors an…
Concept of dynamic memory in economics
Valentina V. Tarasova, Vasily E. Tarasov
In this paper we discuss a concept of dynamic memory and an application of fractional calculus to describe the dynamic memory. The concept of memory is considered from the standpoi…
Dynamic intersectoral models with power-law memory
Valentina V. Tarasova, Vasily E. Tarasov
Intersectoral dynamic models with power-law memory are proposed. The equations of open and closed intersectoral models, in which the memory effects are described by the Caputo deri…
Fractional Dynamics of Natural Growth and Memory Effect in Economics
Valentina V. Tarasova, Vasily E. Tarasov
A generalization of the economic model of natural growth, which takes into account the power-law memory effect, is suggested. The memory effect means the dependence of the process…
Economic Growth Model with Constant Pace and Dynamic Memory
Valentina V. Tarasova, Vasily E. Tarasov
The article discusses a generalization of model of economic growth with constant pace, which takes into account the effects of dynamic memory. Memory means that endogenous or exoge…
Economic Accelerator with Memory: Discrete Time Approach
Valentina V. Tarasova, Vasily E. Tarasov
Accelerators with power-law memory are proposed in the framework of the discrete time approach. To describe discrete accelerators we use the capital stock adjustment principle, whi…
Long and Short Memory in Economics: Fractional-Order Difference and Differentiation
Vasily E. Tarasov, Valentina V. Tarasova
Long and short memory in economic processes is usually described by the so-called discrete fractional differencing and fractional integration. We prove that the discrete fractional…