IDEAS home Printed from https://ideas.repec.org/a/hin/jnlmpe/5492535.html
   My bibliography  Save this article

Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method

Author

Listed:
  • Fei Xu
  • Yixian Gao
  • Xue Yang
  • He Zhang

Abstract

This paper is aimed at constructing fractional power series (FPS) solutions of time-space fractional Boussinesq equations using residual power series method (RPSM). Firstly we generalize the idea of RPSM to solve any-order time-space fractional differential equations in high-dimensional space with initial value problems in . Using RPSM, we can obtain FPS solutions of fourth-, sixth-, and 2 th-order time-space fractional Boussinesq equations in and fourth-order time-space fractional Boussinesq equations in and . Finally, by numerical experiments, it is shown that RPSM is a simple, effective, and powerful method for seeking approximate analytic solutions of fractional differential equations.

Suggested Citation

  • Fei Xu & Yixian Gao & Xue Yang & He Zhang, 2016. "Construction of Fractional Power Series Solutions to Fractional Boussinesq Equations Using Residual Power Series Method," Mathematical Problems in Engineering, Hindawi, vol. 2016, pages 1-15, May.
    • Handle: RePEc:hin:jnlmpe:5492535
    DOI: 10.1155/2016/5492535
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/MPE/2016/5492535.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/MPE/2016/5492535.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2016/5492535?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:jnlmpe:5492535. 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.