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

Author

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  • 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 .

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, Hindawi, vol. 2013, pages 1-8, September.
    • Handle: RePEc:hin:jnlaaa:636802
    DOI: 10.1155/2013/636802
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    Cited by:

    1. Liu, Cheng-shi, 2018. "Counterexamples on Jumarie’s three basic fractional calculus formulae for non-differentiable continuous functions," Chaos, Solitons & Fractals, Elsevier, vol. 109(C), pages 219-222.
    2. Zeshan Aslam Khan & Naveed Ishtiaq Chaudhary & Syed Zubair, 2019. "Fractional stochastic gradient descent for recommender systems," Electronic Markets, Springer;IIM University of St. Gallen, vol. 29(2), pages 275-285, June.
    3. Kai, Yue & Li, Yaxi & Huang, Liuke, 2022. "Topological properties and wave structures of Gilson–Pickering equation," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).

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