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An Iterative Method for Time‐Fractional Swift‐Hohenberg Equation

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  • Wenjin Li
  • Yanni Pang

Abstract

We study a type of iterative method and apply it to time‐fractional Swift‐Hohenberg equation with initial value. Using this iterative method, we obtain the approximate analytic solutions with numerical figures to initial value problems, which indicates that such iterative method is effective and simple in constructing approximate solutions to Cauchy problems of time‐fractional differential equations.

Suggested Citation

  • Wenjin Li & Yanni Pang, 2018. "An Iterative Method for Time‐Fractional Swift‐Hohenberg Equation," Advances in Mathematical Physics, John Wiley & Sons, vol. 2018(1).
    • Handle: RePEc:wly:jnlamp:v:2018:y:2018:i:1:n:2405432
    DOI: 10.1155/2018/2405432
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    References listed on IDEAS

    as
    1. Singh, Harendra, 2018. "Approximate solution of fractional vibration equation using Jacobi polynomials," Applied Mathematics and Computation, Elsevier, vol. 317(C), pages 85-100.
    2. El-Ajou, Ahmad & Abu Arqub, Omar & Momani, Shaher & Baleanu, Dumitru & Alsaedi, Ahmed, 2015. "A novel expansion iterative method for solving linear partial differential equations of fractional order," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 119-133.
    3. Arikoglu, Aytac & Ozkol, Ibrahim, 2007. "Solution of fractional differential equations by using differential transform method," Chaos, Solitons & Fractals, Elsevier, vol. 34(5), pages 1473-1481.
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