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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| Format: | Thesis |
| Language: | English |
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2022
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| Online Access: | http://eprints.usm.my/60123/ http://eprints.usm.my/60123/1/Pages%20from%20HAILAT%20IBRAHIM%20YOUSEF%20JABER%20-%20TESIS-3.pdf |
| _version_ | 1848884357695012864 |
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| author | Jaber, Hailat Ibrahim Yousef |
| author_facet | Jaber, Hailat Ibrahim Yousef |
| author_sort | Jaber, Hailat Ibrahim Yousef |
| building | USM Institutional Repository |
| collection | Online Access |
| 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. |
| first_indexed | 2025-11-15T19:05:25Z |
| format | Thesis |
| id | usm-60123 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T19:05:25Z |
| publishDate | 2022 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-601232024-03-12T01:47:38Z 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. |
| spellingShingle | QA1-939 Mathematics Jaber, Hailat Ibrahim Yousef Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations |
| title | 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_short | Laplace Transform With Modified Analytical Approximate Methods For Fractional Differential Equations |
| title_sort | laplace transform with modified analytical approximate methods for fractional differential equations |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/60123/ http://eprints.usm.my/60123/1/Pages%20from%20HAILAT%20IBRAHIM%20YOUSEF%20JABER%20-%20TESIS-3.pdf |