$Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems$
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Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems

In this work, a new iterative algorithm is presented to solve autonomous n-dimensional fractional nonlinear systems analytically. The suggested scheme is combination of two methods; the Laplace transform and the residual power series. The methodology of this algorithm is presented in details. For th...

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Autores principales:	Alquran Marwan, Alsukhour Maysa, Ali Mohammed, Jaradat Imad
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	caputo-fractional autonomous nonlinear systems laplace transform residual power series method Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/d61e83a572ae4e6087a9f1e5dcb633ea
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spelling	oai:doaj.org-article:d61e83a572ae4e6087a9f1e5dcb633ea2021-12-05T14:10:57ZCombination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems2192-80102192-802910.1515/nleng-2021-0022https://doaj.org/article/d61e83a572ae4e6087a9f1e5dcb633ea2021-10-01T00:00:00Zhttps://doi.org/10.1515/nleng-2021-0022https://doaj.org/toc/2192-8010https://doaj.org/toc/2192-8029In this work, a new iterative algorithm is presented to solve autonomous n-dimensional fractional nonlinear systems analytically. The suggested scheme is combination of two methods; the Laplace transform and the residual power series. The methodology of this algorithm is presented in details. For the accuracy and effectiveness purposes, two numerical examples are discussed. Finally, the impact of the fractional order acting on these autonomous systems is investigated using graphs and tables.Alquran MarwanAlsukhour MaysaAli MohammedJaradat ImadDe Gruyterarticlecaputo-fractional autonomous nonlinear systemslaplace transformresidual power series methodEngineering (General). Civil engineering (General)TA1-2040ENNonlinear Engineering, Vol 10, Iss 1, Pp 282-292 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	caputo-fractional autonomous nonlinear systems laplace transform residual power series method Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	caputo-fractional autonomous nonlinear systems laplace transform residual power series method Engineering (General). Civil engineering (General) TA1-2040 Alquran Marwan Alsukhour Maysa Ali Mohammed Jaradat Imad Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems
description	In this work, a new iterative algorithm is presented to solve autonomous n-dimensional fractional nonlinear systems analytically. The suggested scheme is combination of two methods; the Laplace transform and the residual power series. The methodology of this algorithm is presented in details. For the accuracy and effectiveness purposes, two numerical examples are discussed. Finally, the impact of the fractional order acting on these autonomous systems is investigated using graphs and tables.
format	article
author	Alquran Marwan Alsukhour Maysa Ali Mohammed Jaradat Imad
author_facet	Alquran Marwan Alsukhour Maysa Ali Mohammed Jaradat Imad
author_sort	Alquran Marwan
title	Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems
title_short	Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems
title_full	Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems
title_fullStr	Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems
title_full_unstemmed	Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems
title_sort	combination of laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/d61e83a572ae4e6087a9f1e5dcb633ea
work_keys_str_mv	AT alquranmarwan combinationoflaplacetransformandresidualpowerseriestechniquestosolveautonomousndimensionalfractionalnonlinearsystems AT alsukhourmaysa combinationoflaplacetransformandresidualpowerseriestechniquestosolveautonomousndimensionalfractionalnonlinearsystems AT alimohammed combinationoflaplacetransformandresidualpowerseriestechniquestosolveautonomousndimensionalfractionalnonlinearsystems AT jaradatimad combinationoflaplacetransformandresidualpowerseriestechniquestosolveautonomousndimensionalfractionalnonlinearsystems
_version_	1718371570842337280

Combination of Laplace transform and residual power series techniques to solve autonomous n-dimensional fractional nonlinear systems

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