A new smoothness result for Caputo-type fractional ordinary differential   equations
  We present a new smoothness result for Caputo-type fractional ordinary differential equations, which reveals that, subtracting a non-smooth function that can be obtained by the information available, a non-smooth solution belongs to $ C^m $ for some positive integer $ m $. 
Binjie Li, Xiaoping Xie, Shiquan Zhang
math.CA