@inbook{568adeab5dd641829c6568df0555001e,
title = "On a new extension of Caputo fractional derivative operator",
abstract = "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.",
keywords = "Caputo fractional derivative, Generating functions, Hypergeometric functions, Integral representations",
author = "O. Kıymaz and P. Agarwal and S. Jain and A. {\c C}etinkaya",
note = "Publisher Copyright: {\textcopyright} 2017, Springer Nature Singapore Pte Ltd.",
year = "2017",
doi = "10.1007/978-981-10-4337-6\_11",
language = "English",
series = "Trends in Mathematics",
publisher = "Springer International Publishing",
number = "9789811043369",
pages = "261--275",
booktitle = "Trends in Mathematics",
address = "Switzerland",
edition = "9789811043369",
}