Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations

In this study, approximate analytical methods are highlighted. These methods are: the combination of the Laplace transformation with homotopy perturbation method (HPM) namely Laplace transform homotopy perturbation method (LT-HPM), Adomian decomposition method (ADM) namely Laplace transform Adomian...

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Main Author:	Jaber, Hailat Ibrahim Yousef
Format:	Thesis
Language:	English
Published:	2022
Subjects:	QA1-939 Mathematics
Online Access:	http://eprints.usm.my/60123/1/Pages%20from%20HAILAT%20IBRAHIM%20YOUSEF%20JABER%20-%20TESIS-3.pdf
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id	my-usm-ep.60123
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spelling	my-usm-ep.601232024-03-12T01:47:38Z Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations 2022-10 Jaber, Hailat Ibrahim Yousef QA1-939 Mathematics In this study, approximate analytical methods are highlighted. These methods are: the combination of the Laplace transformation with homotopy perturbation method (HPM) namely Laplace transform homotopy perturbation method (LT-HPM), Adomian decomposition method (ADM) namely Laplace transform Adomian decomposition method (LTADM), variational iteration method (VIM) namely Laplace transform variational iteration method (LT-VIM). The main target of this thesis is to improve and apply these methods to avoid the drawbacks and find the analytical approximate solutions for some cases of linear and nonlinear ordinary FDEs. 2022-10 Thesis http://eprints.usm.my/60123/ http://eprints.usm.my/60123/1/Pages%20from%20HAILAT%20IBRAHIM%20YOUSEF%20JABER%20-%20TESIS-3.pdf application/pdf en public phd doctoral Universiti Sains Malaysia Pusat Pengajian Sains Matematik ( School of Mathematical Sciences)
institution	Universiti Sains Malaysia
collection	USM Institutional Repository
language	English
topic	QA1-939 Mathematics
spellingShingle	QA1-939 Mathematics Jaber, Hailat Ibrahim Yousef Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations
description	In this study, approximate analytical methods are highlighted. These methods are: the combination of the Laplace transformation with homotopy perturbation method (HPM) namely Laplace transform homotopy perturbation method (LT-HPM), Adomian decomposition method (ADM) namely Laplace transform Adomian decomposition method (LTADM), variational iteration method (VIM) namely Laplace transform variational iteration method (LT-VIM). The main target of this thesis is to improve and apply these methods to avoid the drawbacks and find the analytical approximate solutions for some cases of linear and nonlinear ordinary FDEs.
format	Thesis
qualification_name	Doctor of Philosophy (PhD.)
qualification_level	Doctorate
author	Jaber, Hailat Ibrahim Yousef
author_facet	Jaber, Hailat Ibrahim Yousef
author_sort	Jaber, Hailat Ibrahim Yousef
title	Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations
title_short	Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations
title_full	Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations
title_fullStr	Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations
title_full_unstemmed	Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations
title_sort	laplace transform with modified analytical approximate methods for fractional differential equations
granting_institution	Universiti Sains Malaysia
granting_department	Pusat Pengajian Sains Matematik ( School of Mathematical Sciences)
publishDate	2022
url	http://eprints.usm.my/60123/1/Pages%20from%20HAILAT%20IBRAHIM%20YOUSEF%20JABER%20-%20TESIS-3.pdf
_version_	1794024092793307136

Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations

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