$Application of Laplace residual power series method for approximate solutions of fractional IVP’s$
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Application of Laplace residual power series method for approximate solutions of fractional IVP’s

In this study, different systems of linear and non-linear fractional initial value problems are solved analytically utilizing an attractive novel technique so-called the Laplace residual power series approach, and which is based on the coupling of the residual power series approach with the Laplace...

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Autor principal:	Mohammad Alaroud
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2022
Materias:	Fractional initial value problems Caputo’s derivative operator Laplace residual power series Fractional power series Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/30f36b5989d04e808097d45186616206
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spelling	oai:doaj.org-article:30f36b5989d04e808097d451866162062021-11-18T04:45:35ZApplication of Laplace residual power series method for approximate solutions of fractional IVP’s1110-016810.1016/j.aej.2021.06.065https://doaj.org/article/30f36b5989d04e808097d451866162062022-02-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S1110016821004269https://doaj.org/toc/1110-0168In this study, different systems of linear and non-linear fractional initial value problems are solved analytically utilizing an attractive novel technique so-called the Laplace residual power series approach, and which is based on the coupling of the residual power series approach with the Laplace transform operator to generate analytical and approximate solutions in fast convergent series forms by using the concept of the limit with less time and effort compared with the residual power series technique. To confirm the simplicity, performance, and viability of the proposed technique, three problems are tested and simulated. Analysis of the obtained results reveals that the aforesaid technique is straightforward, accurate, and suitable to investigate the solutions of the non-linear physical and engineering problems.Mohammad AlaroudElsevierarticleFractional initial value problemsCaputo’s derivative operatorLaplace residual power seriesFractional power seriesEngineering (General). Civil engineering (General)TA1-2040ENAlexandria Engineering Journal, Vol 61, Iss 2, Pp 1585-1595 (2022)
institution	DOAJ
collection	DOAJ
language	EN
topic	Fractional initial value problems Caputo’s derivative operator Laplace residual power series Fractional power series Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Fractional initial value problems Caputo’s derivative operator Laplace residual power series Fractional power series Engineering (General). Civil engineering (General) TA1-2040 Mohammad Alaroud Application of Laplace residual power series method for approximate solutions of fractional IVP’s
description	In this study, different systems of linear and non-linear fractional initial value problems are solved analytically utilizing an attractive novel technique so-called the Laplace residual power series approach, and which is based on the coupling of the residual power series approach with the Laplace transform operator to generate analytical and approximate solutions in fast convergent series forms by using the concept of the limit with less time and effort compared with the residual power series technique. To confirm the simplicity, performance, and viability of the proposed technique, three problems are tested and simulated. Analysis of the obtained results reveals that the aforesaid technique is straightforward, accurate, and suitable to investigate the solutions of the non-linear physical and engineering problems.
format	article
author	Mohammad Alaroud
author_facet	Mohammad Alaroud
author_sort	Mohammad Alaroud
title	Application of Laplace residual power series method for approximate solutions of fractional IVP’s
title_short	Application of Laplace residual power series method for approximate solutions of fractional IVP’s
title_full	Application of Laplace residual power series method for approximate solutions of fractional IVP’s
title_fullStr	Application of Laplace residual power series method for approximate solutions of fractional IVP’s
title_full_unstemmed	Application of Laplace residual power series method for approximate solutions of fractional IVP’s
title_sort	application of laplace residual power series method for approximate solutions of fractional ivp’s
publisher	Elsevier
publishDate	2022
url	https://doaj.org/article/30f36b5989d04e808097d45186616206
work_keys_str_mv	AT mohammadalaroud applicationoflaplaceresidualpowerseriesmethodforapproximatesolutionsoffractionalivps
_version_	1718425030649446400

Application of Laplace residual power series method for approximate solutions of fractional IVP’s

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