  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 derivatives of non-integer orders, are derived. We
suggest solutions of these equations, which have the form of linear
combinations of the Mittag-Leffler functions and which are characterized by
different effective growth rates. Examples of intersectoral dynamics with
power-law memory are suggested for two sectoral cases. We formulate two
principles of intersectoral dynamics with memory: the principle of changing of
technological growth rates and the principle of domination change. It has been
shown that in the input-output economic dynamics the effects of fading memory
can change the economic growth rate and dominant behavior of economic sectors.
