Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order
In this study, the focus is on approximate analytical methods. These methods include: Adomian decomposition method (ADM), fractional differential transform method (FDTM), homotopy analysis method (HAM) and variational iteration method (VIM). The main objective of this thesis is to develop, analyse a...
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| Format: | Thesis |
| Language: | English |
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2017
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| Online Access: | http://eprints.usm.my/47911/ http://eprints.usm.my/47911/1/APPROXIMATE%20ANALYTICAL%20METHODS%20FOR.pdf%20cut.pdf |
| _version_ | 1848881010740035584 |
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| author | Alkresheh, Hytham Awad Hamad |
| author_facet | Alkresheh, Hytham Awad Hamad |
| author_sort | Alkresheh, Hytham Awad Hamad |
| building | USM Institutional Repository |
| collection | Online Access |
| description | In this study, the focus is on approximate analytical methods. These methods include: Adomian decomposition method (ADM), fractional differential transform method (FDTM), homotopy analysis method (HAM) and variational iteration method (VIM). The main objective of this thesis is to develop, analyse and apply these methods to find the analytical approximate solutions for some cases of linear and nonlinear ordinary FDEs. |
| first_indexed | 2025-11-15T18:12:13Z |
| format | Thesis |
| id | usm-47911 |
| institution | Universiti Sains Malaysia |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-15T18:12:13Z |
| publishDate | 2017 |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | usm-479112020-11-18T02:59:31Z http://eprints.usm.my/47911/ Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order Alkresheh, Hytham Awad Hamad QA1-939 Mathematics In this study, the focus is on approximate analytical methods. These methods include: Adomian decomposition method (ADM), fractional differential transform method (FDTM), homotopy analysis method (HAM) and variational iteration method (VIM). The main objective of this thesis is to develop, analyse and apply these methods to find the analytical approximate solutions for some cases of linear and nonlinear ordinary FDEs. 2017-12 Thesis NonPeerReviewed application/pdf en http://eprints.usm.my/47911/1/APPROXIMATE%20ANALYTICAL%20METHODS%20FOR.pdf%20cut.pdf Alkresheh, Hytham Awad Hamad (2017) Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order. PhD thesis, Universiti Sains Malaysia. |
| spellingShingle | QA1-939 Mathematics Alkresheh, Hytham Awad Hamad Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| title | Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| title_full | Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| title_fullStr | Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| title_full_unstemmed | Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| title_short | Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| title_sort | approximate analytical methods for ordinary differential equations of fractional order |
| topic | QA1-939 Mathematics |
| url | http://eprints.usm.my/47911/ http://eprints.usm.my/47911/1/APPROXIMATE%20ANALYTICAL%20METHODS%20FOR.pdf%20cut.pdf |