Chain rules and inequalities for the BHT fractional calculus on   arbitrary time scales
  We develop the Benkhettou-Hassani-Torres fractional (noninteger order) calculus on time scales by proving two chain rules for the $\alpha$-fractional derivative and five inequalities for the $\alpha$-fractional integral. The results coincide with well-known classical results when the operators are of (integer) order $\alpha = 1$ and the time scale coincides with the set of real numbers. 
Eze R. Nwaeze, Delfim F. M. Torres
math.CA