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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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 |