On Multi-Laplace Transform for Solving Nonlinear Partial Differential Equations with Mixed Derivatives | Zendy

Abdon Atangana | Zendy; Suares Clovis Oukouomi Noutchie | Zendy

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On Multi-Laplace Transform for Solving Nonlinear Partial Differential Equations with Mixed Derivatives

Author(s) -

Abdon Atangana,

Suares Clovis Oukouomi Noutchie

Publication year - 2014

Publication title -

mathematical problems in engineering

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.262

H-Index - 62

eISSN - 1026-7077

pISSN - 1024-123X

DOI - 10.1155/2014/267843

Subject(s) - laplace transform , mathematics , uniqueness , nonlinear system , laplace transform applied to differential equations , partial differential equation , convergence (economics) , class (philosophy) , stability (learning theory) , mathematical analysis , integer (computer science) , computer science , physics , quantum mechanics , artificial intelligence , machine learning , economics , economic growth , programming language

A novel approach is proposed to deal with a class of nonlinear partial equations including integer and noninteger order derivative. This class of equations cannot be handled with any other commonly used analytical technique. The proposed method is based on the multi-Laplace transform. We solved as an example some complicated equations. Three illustrative examples are presented to confirm the applicability of the proposed method. We have presented in detail the stability, the convergence and the uniqueness analysis of some examples

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