%0 Journal Article %T On the cauchy problem for differential equation with fractional derivative by caputo %A Ignatova, A.. %K Cauchy problem, a condensing map, a fractional derivative, the differential equation. %J Actual directions of scientific researches of the XXI century: theory and practice %D 2015 %N 3 %P 3 %I FSBE Institution of Higher Education Voronezh State University of Forestry and Technologies named after G.F. Morozov