Pusat Pengajian Sains Matematik - Tesis

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Multi-Stage Differential Transform Methodforsolving Classical And Fractional Differential Algebraic Systems
(2025-09)
Alahmad, Khalil Ibrahim
Differential equations are known as a mathematical method to model a problem that exists in science, chemistry, physics and economics. Generally, systems of differential equations can be classified into systems of fractional differential algebraic equations and systems of differential algebraic equations. Fractional differential algebraic equations and differential algebraic equations have been used to model complex systems in various fields, but the traditional numerical solution methods used often struggle with their solution behavior. The objective of this research is to develop two techniques to solve a system of fractional differential algebraic equations as well as a system of differential algebraic equations based on initial value problems through the standard differential transformation method and the fractional differential transformation method.