Expansion formulas in terms of integer-order derivatives for the   Hadamard fractional integral and derivative
  We obtain series expansion formulas for the Hadamard fractional integral and fractional derivative of a smooth function. When considering finite sums only, an upper bound for the error is given. Numerical simulations show the efficiency of the approximation method. 
Shakoor Pooseh, Ricardo Almeida, Delfim F. M. Torres
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