A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems

In this article, the Elzaki homotopy perturbation method is applied to solve fractional stiff systems. The Elzaki homotopy perturbation method (EHPM) is a combination of a modified Laplace integral transform called the Elzaki transform and the homotopy perturbation method. The proposed method is app...

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Autores principales:	Diyar Hashim Malo, Rogash Younis Masiha, Muhammad Amin Sadiq Murad, Sadeq Taha Abdulazeez
Formato:	article
Lenguaje:	EN
Publicado:	Department of Mathematics, UIN Sunan Ampel Surabaya 2021
Materias:	fractional stiff systems differential equations elzaki homotopy perturbation methods kernel hilbert space method approximate solutions Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/34d6ee17721e4f65b39103d8a2de951b
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id	oai:doaj.org-article:34d6ee17721e4f65b39103d8a2de951b
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spelling	oai:doaj.org-article:34d6ee17721e4f65b39103d8a2de951b2021-12-02T17:28:36ZA New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems2527-31592527-316710.15642/mantik.2021.7.1.9-19https://doaj.org/article/34d6ee17721e4f65b39103d8a2de951b2021-05-01T00:00:00Zhttp://jurnalsaintek.uinsby.ac.id/index.php/mantik/article/view/1194https://doaj.org/toc/2527-3159https://doaj.org/toc/2527-3167In this article, the Elzaki homotopy perturbation method is applied to solve fractional stiff systems. The Elzaki homotopy perturbation method (EHPM) is a combination of a modified Laplace integral transform called the Elzaki transform and the homotopy perturbation method. The proposed method is applied for some examples of linear and nonlinear fractional stiff systems. The results obtained by the current method were compared with the results obtained by the kernel Hilbert space KHSM method. The obtained result reveals that the Elzaki homotopy perturbation method is an effective and accurate technique to solve the systems of differential equations of fractional order.Diyar Hashim MaloRogash Younis MasihaMuhammad Amin Sadiq MuradSadeq Taha AbdulazeezDepartment of Mathematics, UIN Sunan Ampel Surabayaarticlefractional stiff systemsdifferential equationselzaki homotopy perturbation methodskernel hilbert space methodapproximate solutionsMathematicsQA1-939ENMantik: Jurnal Matematika, Vol 7, Iss 1, Pp 9-19 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	fractional stiff systems differential equations elzaki homotopy perturbation methods kernel hilbert space method approximate solutions Mathematics QA1-939
spellingShingle	fractional stiff systems differential equations elzaki homotopy perturbation methods kernel hilbert space method approximate solutions Mathematics QA1-939 Diyar Hashim Malo Rogash Younis Masiha Muhammad Amin Sadiq Murad Sadeq Taha Abdulazeez A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems
description	In this article, the Elzaki homotopy perturbation method is applied to solve fractional stiff systems. The Elzaki homotopy perturbation method (EHPM) is a combination of a modified Laplace integral transform called the Elzaki transform and the homotopy perturbation method. The proposed method is applied for some examples of linear and nonlinear fractional stiff systems. The results obtained by the current method were compared with the results obtained by the kernel Hilbert space KHSM method. The obtained result reveals that the Elzaki homotopy perturbation method is an effective and accurate technique to solve the systems of differential equations of fractional order.
format	article
author	Diyar Hashim Malo Rogash Younis Masiha Muhammad Amin Sadiq Murad Sadeq Taha Abdulazeez
author_facet	Diyar Hashim Malo Rogash Younis Masiha Muhammad Amin Sadiq Murad Sadeq Taha Abdulazeez
author_sort	Diyar Hashim Malo
title	A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems
title_short	A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems
title_full	A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems
title_fullStr	A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems
title_full_unstemmed	A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems
title_sort	new computational method based on integral transform for solving linear and nonlinear fractional systems
publisher	Department of Mathematics, UIN Sunan Ampel Surabaya
publishDate	2021
url	https://doaj.org/article/34d6ee17721e4f65b39103d8a2de951b
work_keys_str_mv	AT diyarhashimmalo anewcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems AT rogashyounismasiha anewcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems AT muhammadaminsadiqmurad anewcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems AT sadeqtahaabdulazeez anewcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems AT diyarhashimmalo newcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems AT rogashyounismasiha newcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems AT muhammadaminsadiqmurad newcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems AT sadeqtahaabdulazeez newcomputationalmethodbasedonintegraltransformforsolvinglinearandnonlinearfractionalsystems
_version_	1718380722560958464

A New Computational Method Based on Integral Transform for Solving Linear and Nonlinear Fractional Systems

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