Аннотация:Macroeconomic models, which take into account effects of power-law fading memory, are considered. The power-law long memory is described by using the mathematical tool of fractional calculus. Model equations are fractional differential equations with derivatives of non-integer orders. Solutions of the fractional differential equations of these macroeconomic models are suggested. Examples of dependence of macroeconomic dynamics on long memory are considered. Asymptotic behaviors of the solutions, which characterize the rate of technological growth with memory, are described. Principles of economic dynamics with long memory are proposed. It has been shown that the effects of long memory can change the economic growth rate and dominant parameters, which determine growth rates. Accounting of memory effect in model can lead to qualitative changes, including economic growth appears instead of decrease.
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