Golmankhaneh, Alireza KhaliliBongiorno, Donatella2025-05-102025-05-1020242075-168010.3390/axioms13110786https://doi.org/10.3390/axioms13110786https://hdl.handle.net/20.500.14720/11360In 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.eninfo:eu-repo/semantics/openAccessFractal Calculus2 Alpha-Order Fractal Linear Differential EquationsFractal Adjoint Differential EquationArticle1311Q2N/AWOS:001366863600001