IDEAS home Printed from https://ideas.repec.org/a/wly/jnlaaa/v2013y2013i1n636802.html

The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation

Author

Listed:
  • Hasan Bulut
  • Haci Mehmet Baskonus
  • Yusuf Pandir

Abstract

The fractional partial differential equations stand for natural phenomena all over the world from science to engineering. When it comes to obtaining the solutions of these equations, there are many various techniques in the literature. Some of these give to us approximate solutions; others give to us analytical solutions. In this paper, we applied the modified trial equation method (MTEM) to the one‐dimensional nonlinear fractional wave equation (FWE) and time fractional generalized Burgers equation. Then, we submitted 3D graphics for different value of α.

Suggested Citation

  • Hasan Bulut & Haci Mehmet Baskonus & Yusuf Pandir, 2013. "The Modified Trial Equation Method for Fractional Wave Equation and Time Fractional Generalized Burgers Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:636802
    DOI: 10.1155/2013/636802
    as

    Download full text from publisher

    File URL: https://doi.org/10.1155/2013/636802
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2013/636802?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
    ---><---

    References listed on IDEAS

    as
    1. Yusuf Pandir & Yusuf Gurefe & Ugur Kadak & Emine Misirli, 2012. "Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, August.
    2. Song, Lina & Zhang, Hongqing, 2009. "Solving the fractional BBM–Burgers equation using the homotopy analysis method," Chaos, Solitons & Fractals, Elsevier, vol. 40(4), pages 1616-1622.
    3. Yusuf Pandir & Yusuf Gurefe & Ugur Kadak & Emine Misirli, 2012. "Classification of Exact Solutions for Some Nonlinear Partial Differential Equations with Generalized Evolution," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. B. A. Jacobs & C. Harley, 2014. "Two Hybrid Methods for Solving Two‐Dimensional Linear Time‐Fractional Partial Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Kai Fan & Cunlong Zhou, 2020. "Mechanical Solving a Few Fractional Partial Differential Equations and Discussing the Effects of the Fractional Order," Advances in Mathematical Physics, John Wiley & Sons, vol. 2020(1).
    3. M. Al-Amin & M. Nurul Islam & Onur Alp İlhan & M. Ali Akbar & Danyal Soybaş, 2022. "Solitary Wave Solutions to the Modified Zakharov–Kuznetsov and the (2 + 1)‐Dimensional Calogero–Bogoyavlenskii–Schiff Models in Mathematical Physics," Journal of Mathematics, John Wiley & Sons, vol. 2022(1).
    4. Özkan Güner & Dursun Eser, 2014. "Exact Solutions of the Space Time Fractional Symmetric Regularized Long Wave Equation Using Different Methods," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    5. Seyma Tuluce Demiray & Yusuf Pandir & Hasan Bulut, 2014. "Generalized Kudryashov Method for Time‐Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Dianchen Lu & Chen Yue & Muhammad Arshad, 2017. "Traveling Wave Solutions of Space‐Time Fractional Generalized Fifth‐Order KdV Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2017(1).

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hasan Bulut, 2013. "Classification of Exact Solutions for Generalized Form of K(m,n) Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Yusuf Pandir & Halime Ulusoy, 2013. "New Generalized Hyperbolic Functions to Find New Exact Solutions of the Nonlinear Partial Differential Equations," Journal of Mathematics, Hindawi, vol. 2013, pages 1-5, January.
    3. Muhammad Shakeel & Qazi Mahmood Ul-Hassan & Jamshad Ahmad & Tauseef Naqvi, 2014. "Exact Solutions of the Time Fractional BBM‐Burger Equation by Novel (G′/G)‐Expansion Method," Advances in Mathematical Physics, John Wiley & Sons, vol. 2014(1).
    4. Abdullah Sonmezoglu, 2015. "Exact Solutions for Some Fractional Differential Equations," Advances in Mathematical Physics, John Wiley & Sons, vol. 2015(1).

    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:wly:jnlaaa:v:2013:y:2013:i:1:n:636802. 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.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: Wiley Content Delivery (email available below). General contact details of provider: https://onlinelibrary.wiley.com/journal/4058 .

    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.