IDEAS home Printed from https://ideas.repec.org/a/hin/jjmath/2872185.html
   My bibliography  Save this article

Generalized Fractional Integral Operators and -Series

Author

Listed:
  • A. M. Khan
  • R. K. Kumbhat
  • Amit Chouhan
  • Anita Alaria

Abstract

Two fractional integral operators associated with Fox -function due to Saxena and Kumbhat are applied to -series, which is an extension of both Mittag-Leffler function and generalized hypergeometric function . The Mellin and Whittaker transforms are obtained for these compositional operators with -series. Further some interesting properties have been established including power function and Riemann-Liouville fractional integral operators. The results are expressed in terms of -function, which are in compact form suitable for numerical computation. Special cases of the results are also pointed out in the form of lemmas and corollaries.

Suggested Citation

  • A. M. Khan & R. K. Kumbhat & Amit Chouhan & Anita Alaria, 2016. "Generalized Fractional Integral Operators and -Series," Journal of Mathematics, Hindawi, vol. 2016, pages 1-10, March.
    • Handle: RePEc:hin:jjmath:2872185
    DOI: 10.1155/2016/2872185
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JMATH/2016/2872185.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JMATH/2016/2872185.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/2872185?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:hin:jjmath:2872185. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.