IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-0-387-98128-4_8.html
   My bibliography  Save this book chapter

Canavati Fractional Opial–Type Inequalities for Several Functions and Applications

In: Fractional Differentiation Inequalities

Author

Listed:
  • George A. Anastassiou

    (University of Memphis, Department Mathematical Sciences)

Abstract

A wide variety of very general L p (1 ≤ p ≤ ∞)-form Opial-type inequalities [315] is presented involving generalized Canavati fractional derivatives [17, 101] of several functions in different orders and powers. The above are based on a generalization of Taylor–s formula for generalized Canavati fractional derivatives [17]. From the established results are derived several other particular results of special interest. Applications of some of these special inequalities are given in proving the uniqueness of solution and in giving upper bounds to solutions of initial value problems involving a very general system of several fractional differential equations. Upper bounds to various fractional derivatives of the solutions that are involved in the above systems are given too. This treatment is based on [27].

Suggested Citation

  • George A. Anastassiou, 2009. "Canavati Fractional Opial–Type Inequalities for Several Functions and Applications," Springer Books, in: Fractional Differentiation Inequalities, chapter 8, pages 149-177, Springer.
    • Handle: RePEc:spr:sprchp:978-0-387-98128-4_8
    DOI: 10.1007/978-0-387-98128-4_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-0-387-98128-4_8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.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.