Some new results on Conformable Fractional Power Series
- Francisco Martínez,
- Inmaculada Martinez,
- Mohammed Kaabar
, - Silvestre Paredes
Francisco Martínez
Universidad Politécnica de Cartagena
Corresponding Author:f.martinez@upct.es
Author ProfileAbstract
In this paper, some important results of the classical power series are
generalized for the fractional power series. Some of these theorems are
constructed by using conformable fractional derivatives. The ratio test
has been specifically established to calculate the radius of convergence
of a fractional power series, and several theorems of differentiability
and integrability of the sum of a power series have been discussed in
the sense of conformable fractional definition. In addition, the
proposed series solution has been applied for the case of conformable
fractional Airy differential equation.