On a new extension of Caputo fractional derivative operator
Özet
In this paper, by using a generalization of beta function we introduced a new extension of Caputo fractional derivative operator and obtained some of its properties. With the help of this extended fractional derivative operator, we also defined new extensions of some hypergeometric functions and determined their integral representations, linear and bilinear generating relations. © 2017, Springer Nature Singapore Pte Ltd.
