Confluent Hypergeometric Equation via Fractional Calculus Approach
  In this paper, using the theory of the so-called fractional calculus we show that it is possible to easily obtain the solutions for the confluent hypergeometric equation. Our approach is to be compared with the standard one (Frobenius) which is based on the ordinary calculus of integer order. 
Fabio G. Rodrigues and Edmundo C. Oliveira
math-ph math.MP