On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives
type: Item
instance of: scholarly article
title: On multi-Laplace transform for solving nonlinear partial differential equations with mixed derivatives
zbMATH Open document ID: 1407.35058
DOI: 10.1155/2014/267843
author: Abdon Atangana
author: S. C. Oukouomi Noutchie
published in: Mathematical Problems in Engineering
publication date: 2019-02-08T00:00:00Z
review text: Summary: 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.
Mathematics Subject Classification ID: 35G20
Mathematics Subject Classification ID: 35A22
Mathematics Subject Classification ID: 35C05
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 7016032
Wikidata QID: Q59065243
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2014/267843
OpenAlex ID: W2007873258
cites work: Q3568481
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description: scientific article; zbMATH DE number 7016032