Fractional Gauss hypergeometric differential equation

Abstract

In this paper, we use the new concept of fractional regular singular point and use the technique of fractional power series to solve the fractional Gauss hypergeometric differential equation. Also, we introduce the forms of the conformable fractional derivative and the integral representation of the fractional Guassian function.

Subject Classification: (2010):

• Primary 34A08
• Secondary 26A33

Keywords:

• Fractional Gauss differential equation
• Local fractional derivatives
• Gauss hypergeometric function
• Fractional derivative