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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
http://eprints.usm.my/60123/
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spelling my.usm.eprints.60123 http://eprints.usm.my/60123/ Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations 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 NonPeerReviewed application/pdf en http://eprints.usm.my/60123/1/Pages%20from%20HAILAT%20IBRAHIM%20YOUSEF%20JABER%20-%20TESIS-3.pdf Jaber, Hailat Ibrahim Yousef (2022) Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations. PhD thesis, Universiti Sains Malaysia.
institution Universiti Sains Malaysia
building Hamzah Sendut Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Sains Malaysia
content_source USM Institutional Repository
url_provider http://eprints.usm.my/
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
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
publishDate 2022
url http://eprints.usm.my/60123/1/Pages%20from%20HAILAT%20IBRAHIM%20YOUSEF%20JABER%20-%20TESIS-3.pdf
http://eprints.usm.my/60123/
_version_ 1794552246312108032
score 13.250246

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