2024/03/30 by Golmankhaneh, Alireza Khalili, Bongiorno, Donatella
#28A80 #33E30 #34A12 #34M03 #FOS: Mathematics #General Mathematics (math.GM)
paper · doi:10.48550/arxiv.2404.00428
In this research paper, we provide a concise overview of fractal calculus applied to fractal sets. We introduce and solve a second α-order fractal differential equation with constant coefficients across different scenarios. We propose a uniqueness theorem for second α-order fractal linear differential equations. We define the solution space as a vector space with non-integer orders. We establish precise conditions for second α-order fractal linear differential equations and derive the corresponding fractal adjoint differential equation.