In this paper, we extend the principles of Nambu mechanics by incorporating fractal
calculus. This extension introduces Hamiltonian and Lagrangian mechanics that incorporate …

This paper investigates the Fourier transform of a hidden variable fractal interpolation
function with function scaling factors, which generalizes the Fourier transform of hidden …

The initial objective of the paper is to propose an explicit relationship between the fractal
dimension and fractal numerical integration of curves approximated through fractal …