A Fractional α-Transform for Solving Second-Order Fractional Differential Equations: A New Insight
Year: 2025
Type: article
Abstract: Fractional Differential Equation (FDE) plays a powerful role in the applications of applied science and engineering. In this paper, the α-fractional transform has been used to convert FDE to ordinary differential equations (ODEs). A new α-transform has been developed using the features of the special version of the α-fractional derivative for real functions. Studies demonstrated that this definition's elements are appropriate, relevant, and useful in solving FDEs and their applications. The proposed α-transform approach was used to convert the FDE to an ODE. Also, some of the examples of second-order FDEs are solved using this proposed method. This study presented the α-transform approach, which has been used for dealing with a number of FDE issues. Therefore, the examples show that the α-transform technique is the most cost-efficient and efficient method for converting FDEs into ODEs.
Authors: Khadiga Ben Mussa, Massuoda Tarjam
Institution: University of Tripoli
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415261550
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