3 papers
math.CV2026
Mellin-Space Prony Representability of Linear Viscoelastic Models
Dimiter Prodanov
Linear viscoelastic materials are commonly described by continuous relaxation spectra, yet practical measurements and simulations employ discrete Prony series. In the Laplace frequ…
math.GM2025
A space-fractional reaction-diffusion system with cylindrical symmetry
Dimiter Prodanov
Diffusion within porous media, such as biological tissues, exhibits departures from conventional Fick's laws, which could result in space-fractional diffusion. The paper considers…
math.GM2024
Fractal Calculus to Derive Fractal Frenet Equations for Fractal Curves
Alireza Khalili Golmankhaneh, Palle E. T. Jørgensen, Dimiter Prodanov
This paper introduces the concept of Fractal Frenet equations, a set of differential equations used to describe the behavior of vectors along fractal curves. The study explores the…