Browsing by Author "Bongiorno, Donatella"

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Fractal Differential Equations of 2α-Order
(Mdpi, 2024) Golmankhaneh, Alireza Khalili; Bongiorno, Donatella
In this research paper, we provide a concise overview of fractal calculus applied to fractal sets. We introduce and solve a 2 alpha-order fractal differential equation with constant coefficients across different scenarios. We propose a uniqueness theorem for 2 alpha-order fractal linear differential equations. We define the solution space as a vector space with non-integer orders. We establish precise conditions for 2 alpha-order fractal linear differential equations and derive the corresponding fractal adjoint differential equation.