文章基本信息

标题：Incomplete Caputo fractional derivative operators
本地全文：下载
作者：Mehmet Ali Özarslan ; Ceren Ustaoglu
期刊名称：Advances in Difference Equations
印刷版ISSN：1687-1839
电子版ISSN：1687-1847
出版年度：2018
卷号：2018
期号：1
页码：209
DOI：10.1186/s13662-018-1656-1
语种：English
出版社：Hindawi Publishing Corporation
摘要：The main aim of this paper is to give the definitions of Caputo fractional derivative operators and show their use in the special function theory. For this purpose, we introduce new types of incomplete hypergeometric functions and obtain their integral representations. Furthermore, we define incomplete Caputo fractional derivative operators and show that the images of some elementary functions under the action of incomplete Caputo fractional operators give a new type of incomplete hypergeometric functions. This definition helps us to obtain linear and bilinear generating relations for the new type incomplete Gauss hypergeometric functions.
关键词：Incomplete Caputo fractional derivative operators ; New type incomplete hypergeometric functions ; Generating relations