Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications
A Master of Science thesis in Mathematics by Fatima H. Rabah entitled, “Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications”, submitted in June 2022. Thesis advisor is Dr. Marwan Abukhaled and thesis co-advisor is Dr. Suheil Khour...
محفوظ في:
| المؤلف الرئيسي: | |
|---|---|
| التنسيق: | doctoralThesis |
| منشور في: |
2022
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| الموضوعات: | |
| الوصول للمادة أونلاين: | http://hdl.handle.net/11073/25068 |
| الوسوم: |
إضافة وسم
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| _version_ | 1864513442065416192 |
|---|---|
| author | Rabah, Fatima H. |
| author_facet | Rabah, Fatima H. |
| author_role | author |
| dc.contributor.none.fl_str_mv | Abukhaled, Marwan Khoury, Suheil A. |
| dc.creator.none.fl_str_mv | Rabah, Fatima H. |
| dc.date.none.fl_str_mv | 2022-11-28T10:50:06Z 2022-11-28T10:50:06Z 2022-06 |
| dc.format.none.fl_str_mv | application/pdf |
| dc.identifier.none.fl_str_mv | 29.232-2022.08 http://hdl.handle.net/11073/25068 |
| dc.language.none.fl_str_mv | en_US |
| dc.subject.none.fl_str_mv | Fractional derivatives Fractional integration Caputo fractional derivative Liouville fractional derivative Laplace transform Adomian Decomposition |
| dc.title.none.fl_str_mv | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications |
| dc.type.none.fl_str_mv | info:eu-repo/semantics/publishedVersion info:eu-repo/semantics/doctoralThesis |
| description | A Master of Science thesis in Mathematics by Fatima H. Rabah entitled, “Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications”, submitted in June 2022. Thesis advisor is Dr. Marwan Abukhaled and thesis co-advisor is Dr. Suheil Khoury. Soft copy is available (Thesis, Approval Signatures, Completion Certificate, and AUS Archives Consent Form). |
| format | doctoralThesis |
| id | aus_95da802e257ea29101f14d1e1b0d27dc |
| identifier_str_mv | 29.232-2022.08 |
| language_invalid_str_mv | en_US |
| network_acronym_str | aus |
| network_name_str | aus |
| oai_identifier_str | oai:repository.aus.edu:11073/25068 |
| publishDate | 2022 |
| repository.mail.fl_str_mv | |
| repository.name.fl_str_mv | |
| repository_id_str | |
| spelling | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering ApplicationsRabah, Fatima H.Fractional derivativesFractional integrationCaputo fractional derivativeLiouville fractional derivativeLaplace transformAdomian DecompositionA Master of Science thesis in Mathematics by Fatima H. Rabah entitled, “Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications”, submitted in June 2022. Thesis advisor is Dr. Marwan Abukhaled and thesis co-advisor is Dr. Suheil Khoury. Soft copy is available (Thesis, Approval Signatures, Completion Certificate, and AUS Archives Consent Form).In this thesis, we investigate the numerical solution of fractional differential equations subject to initial and boundary conditions. For the solution of such equations, we use two iterative approaches. First, we apply the Laplace Decomposition Method, which is a combination of two approaches, namely the Laplace Transform and the Adomian Decomposition Methods. Then, we implement the Differential Transformation Method. Finally, we apply the above mentioned methods to real life problems such as solving complex nonlinear Enzyme Inhibitor Reactions Model and a COVID-19 Model.College of Arts and SciencesDepartment of Mathematics and StatisticsMaster of Science in Mathematics (MSMTH)Abukhaled, MarwanKhoury, Suheil A.2022-11-28T10:50:06Z2022-11-28T10:50:06Z2022-06info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdf29.232-2022.08http://hdl.handle.net/11073/25068en_USoai:repository.aus.edu:11073/250682025-06-26T12:27:13Z |
| spellingShingle | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications Rabah, Fatima H. Fractional derivatives Fractional integration Caputo fractional derivative Liouville fractional derivative Laplace transform Adomian Decomposition |
| status_str | publishedVersion |
| title | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications |
| title_full | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications |
| title_fullStr | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications |
| title_full_unstemmed | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications |
| title_short | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications |
| title_sort | Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications |
| topic | Fractional derivatives Fractional integration Caputo fractional derivative Liouville fractional derivative Laplace transform Adomian Decomposition |
| url | http://hdl.handle.net/11073/25068 |