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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my-usm-ep.479112020-11-18T02:59:31Z Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order 2017-12 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 http://eprints.usm.my/47911/ http://eprints.usm.my/47911/1/APPROXIMATE%20ANALYTICAL%20METHODS%20FOR.pdf%20cut.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 Alkresheh, Hytham Awad Hamad Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| 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. |
| format |
Thesis |
| qualification_name |
Doctor of Philosophy (PhD.) |
| qualification_level |
Doctorate |
| author |
Alkresheh, Hytham Awad Hamad |
| author_facet |
Alkresheh, Hytham Awad Hamad |
| author_sort |
Alkresheh, Hytham Awad Hamad |
| title |
Approximate Analytical Methods For Ordinary Differential Equations Of Fractional Order |
| title_short |
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_sort |
approximate analytical methods for ordinary differential equations of fractional order |
| granting_institution |
Universiti Sains Malaysia |
| granting_department |
Pusat Pengajian Sains Matematik (School of Mathematical Sciences) |
| publishDate |
2017 |
| url |
http://eprints.usm.my/47911/1/APPROXIMATE%20ANALYTICAL%20METHODS%20FOR.pdf%20cut.pdf |
| _version_ |
1747821846587244544 |