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The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations

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  • Abdon Atangana
  • Adem Kılıçman

Abstract

We make use of the properties of the Sumudu transform to solve nonlinear fractional partial differential equations describing heat-like equation with variable coefficients. The method, namely, homotopy perturbation Sumudu transform method, is the combination of the Sumudu transform and the HPM using He’s polynomials. This method is very powerful, and professional techniques for solving different kinds of linear and nonlinear fractional differential equations arising in different fields of science and engineering.

Suggested Citation

  • Abdon Atangana & Adem Kılıçman, 2013. "The Use of Sumudu Transform for Solving Certain Nonlinear Fractional Heat-Like Equations," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-12, May.
    • Handle: RePEc:hin:jnlaaa:737481
    DOI: 10.1155/2013/737481
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    Cited by:

    1. Zahra, Waheed K. & Abdel-Aty, Mahmoud & Abidou, Diaa, 2020. "A fractional model for estimating the hole geometry in the laser drilling process of thin metal sheets," Chaos, Solitons & Fractals, Elsevier, vol. 136(C).

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