Confluent Hypergeometric Equation via Fractional Calculus Approach
Rodrigues FG* and Capelas de Oliveira E
Department of Applied Mathematics, IMECC – UNICAMP, Brazil
- *Corresponding Author:
- Rodrigues FG
Department of Applied Mathematics
IMECC – UNICAMP, Brazil
Tel: +55 19 3521-7000
E-mail: [email protected]
Received Date: September 01, 2015; Accepted Date: September 02, 2015; Published Date: September 14, 2015
Citation: Rodrigues FG, de Oliveira EC (2015) Confluent Hypergeometric Equation via Fractional Calculus Approach. J Phys Math 6:147. doi:10.4172/2090-0902.1000147
Copyright: © 2015 Rodrigues FG, et al. This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
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.