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

Abdon Atangana | Zendy; Adem Kılıçman | Zendy

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

Author(s) -

Abdon Atangana,

Adem Kılıçman

Publication year - 2013

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2013/737481

Subject(s) - mathematics , nonlinear system , partial differential equation , homotopy perturbation method , mathematical analysis , perturbation (astronomy) , homotopy analysis method , homotopy , pure mathematics , physics , quantum mechanics

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

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