$Multi-step fractional differential transform method for the solution of fractional order stiff systems☆$
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Multi-step fractional differential transform method for the solution of fractional order stiff systems☆

In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense. Several numerical experiments are carried out to illustrate the fea...

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Autores principales:	Hytham.A. Alkresheh, Ahmad Izani Ismail
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Stiff systems of fractional order Multi-step fractional differential transform method Differential transform method Engineering (General). Civil engineering (General) TA1-2040
Acceso en línea:	https://doaj.org/article/4d4982e5c4d8419d9d58cbb26ebc3b36
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spelling	oai:doaj.org-article:4d4982e5c4d8419d9d58cbb26ebc3b362021-11-22T04:22:45ZMulti-step fractional differential transform method for the solution of fractional order stiff systems☆2090-447910.1016/j.asej.2017.03.017https://doaj.org/article/4d4982e5c4d8419d9d58cbb26ebc3b362021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2090447921002112https://doaj.org/toc/2090-4479In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense. Several numerical experiments are carried out to illustrate the feasibility of MSFDTM as an approximate analytical solution technique for stiff systems of fractional order.Hytham.A. AlkreshehAhmad Izani IsmailElsevierarticleStiff systems of fractional orderMulti-step fractional differential transform methodDifferential transform methodEngineering (General). Civil engineering (General)TA1-2040ENAin Shams Engineering Journal, Vol 12, Iss 4, Pp 4223-4231 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Stiff systems of fractional order Multi-step fractional differential transform method Differential transform method Engineering (General). Civil engineering (General) TA1-2040
spellingShingle	Stiff systems of fractional order Multi-step fractional differential transform method Differential transform method Engineering (General). Civil engineering (General) TA1-2040 Hytham.A. Alkresheh Ahmad Izani Ismail Multi-step fractional differential transform method for the solution of fractional order stiff systems☆
description	In this study, the multi-step fractional differential transform method (MSFDTM) is employed to obtain approximate analytical solutions of stiff systems of fractional order. The fractional derivative is described in the Caputo sense. Several numerical experiments are carried out to illustrate the feasibility of MSFDTM as an approximate analytical solution technique for stiff systems of fractional order.
format	article
author	Hytham.A. Alkresheh Ahmad Izani Ismail
author_facet	Hytham.A. Alkresheh Ahmad Izani Ismail
author_sort	Hytham.A. Alkresheh
title	Multi-step fractional differential transform method for the solution of fractional order stiff systems☆
title_short	Multi-step fractional differential transform method for the solution of fractional order stiff systems☆
title_full	Multi-step fractional differential transform method for the solution of fractional order stiff systems☆
title_fullStr	Multi-step fractional differential transform method for the solution of fractional order stiff systems☆
title_full_unstemmed	Multi-step fractional differential transform method for the solution of fractional order stiff systems☆
title_sort	multi-step fractional differential transform method for the solution of fractional order stiff systems☆
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/4d4982e5c4d8419d9d58cbb26ebc3b36
work_keys_str_mv	AT hythamaalkresheh multistepfractionaldifferentialtransformmethodforthesolutionoffractionalorderstiffsystems AT ahmadizaniismail multistepfractionaldifferentialtransformmethodforthesolutionoffractionalorderstiffsystems
_version_	1718418219942805504

Multi-step fractional differential transform method for the solution of fractional order stiff systems☆

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