35 citations · 95 across the 20 of their papers we have counts for
21 papers
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…
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…
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…
Algorithmic computation of multivector inverses and characteristic polynomials in non-degenerate Clifford algebras
Dimiter Prodanov
The power of Clifford or, geometric, algebra lies in its ability to represent geometric operations in a concise and elegant manner. Clifford algebras provide the natural generaliza…
Computation of the Wright function from its integral representation
Dimiter Prodanov
The Wright function arises in the theory of the fractional differential equations. It is a very general mathematical object having diverse connections with other special and elemen…
The Wright function -- hypergeometric representation and symbolical evaluation
Dimiter Prodanov
The Wright function, which arises in the theory of the space-time fractional diffusion equation, is an interesting mathematical object which has diverse connections with other spec…