We briefly review our recent results on the geometry of nonholonomic
manifolds and Lagrange--Finsler spaces and fractional calculus with Caputo
derivatives. Such constructions are used for elaborating analogous models of
fractional gravity and fractional Lagrange mechanics.Comment: latex2e, 11pt, 11 pages with table of content; it is summary of the
results presented in our talk at the 3d Conference on "Nonlinear Science and
Complexity", 28--31 July, 2010, \c{C}hankaya University, Ankara, Turke
