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The use of Sumudu transform for solving certain nonlinear fractional heat-like equations

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...

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Main Authors: Atangana, Abdon, Kilicman, Adem
Format: Article
Language:English
Published: Hindawi Publishing Corporation 2013
Online Access:http://psasir.upm.edu.my/id/eprint/30200/1/30200.pdf
http://psasir.upm.edu.my/id/eprint/30200/
https://www.hindawi.com/journals/aaa/2013/737481/abs/
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spelling my.upm.eprints.302002017-10-19T06:05:01Z http://psasir.upm.edu.my/id/eprint/30200/ The use of Sumudu transform for solving certain nonlinear fractional heat-like equations Atangana, Abdon Kilicman, Adem 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. Hindawi Publishing Corporation 2013 Article PeerReviewed application/pdf en http://psasir.upm.edu.my/id/eprint/30200/1/30200.pdf Atangana, Abdon and Kilicman, Adem (2013) The use of Sumudu transform for solving certain nonlinear fractional heat-like equations. Abstract and Applied Analysis, 2013. art. no. 737481. pp. 1-12. ISSN 1085-3375; ESSN: 1687-0409 https://www.hindawi.com/journals/aaa/2013/737481/abs/ 10.1155/2013/737481
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
language English
description 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.
format Article
author Atangana, Abdon
Kilicman, Adem
spellingShingle Atangana, Abdon
Kilicman, Adem
The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
author_facet Atangana, Abdon
Kilicman, Adem
author_sort Atangana, Abdon
title The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
title_short The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
title_full The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
title_fullStr The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
title_full_unstemmed The use of Sumudu transform for solving certain nonlinear fractional heat-like equations
title_sort use of sumudu transform for solving certain nonlinear fractional heat-like equations
publisher Hindawi Publishing Corporation
publishDate 2013
url http://psasir.upm.edu.my/id/eprint/30200/1/30200.pdf
http://psasir.upm.edu.my/id/eprint/30200/
https://www.hindawi.com/journals/aaa/2013/737481/abs/
_version_ 1643829987310043136
score 13.18916

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