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Laplace Adomian Solutions to Fractional Differential Equations that Arise in Natural Science and Engineering Applications
Rabah, Fatima H.
Rabah, Fatima H.
Date
2022-06
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Advisor
Type
Thesis
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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).
Abstract
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.