Article
A Further Extension of the Extended Riemann-Liouville Fractional Derivative Operator
Turkish Journal of Mathematics
Abstract
The main objective of this paper is to establish the extension of an extended fractional derivative operator by using an extended beta function recently defined by Parmar et al. by considering the Bessel functions in its kernel. We also give some results related to the newly defined fractional operator, such as Mellin transform and relations to extended hypergeometric and Appell's function via generating functions.
Department(s)
Mathematics and Statistics
Keywords and Phrases
- Appell's function,
- Extended hypergeometric function,
- Fractional derivative,
- Hypergeometric function,
- Mellin transform
Document Type
Article - Journal
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2018 TUBITAK, All rights reserved.
Creative Commons Licensing
Creative Commons Attribution 4.0
Publication Date
9-1-2018
Publication Date
01 Sep 2018
Disciplines
Citation Information
Martin Bohner, Gauhar Rahman, Shahid Mubeen and Kottakkaran Sooppy Nisar. "A Further Extension of the Extended Riemann-Liouville Fractional Derivative Operator" Turkish Journal of Mathematics Vol. 42 Iss. 5 (2018) p. 2631 - 2642 ISSN: 1300-0098 Available at: http://works.bepress.com/martin-bohner/130/