198 citations · 593 across the 21 of their papers we have counts for
22 papers
A canonical two-scale Sonine fractional calculus induced by the Tricomi function
Ivano Colombaro, Marc Tudela-Pi
We introduce a Tricomi-type generalized fractional calculus in the Sonine kernel framework. The key result is that the Tricomi branch is a Stieltjes function in the admissible para…
On mathematical characterization of a Bessel functions-based passive element in electronic circuits
Ivano Colombaro, Marc Tudela-Pi
Modeling relaxation phenomena in complex media is central to understanding multiscale dynamics in materials science, bioengineering and condensed matter physics. Existing fractiona…
Passive two-plateau relaxation from Tricomi confluent hypergeometric kernels
Marc Tudela-Pi, Ivano Colombaro
Anomalous relaxation with memory spectra arises in disordered solids, soft matter, biological tissues and electrochemical interfaces. Fractional-order models capture broad power-la…
On linear waves with memory in a Bessel-like medium
A. Giusti, I. Colombaro, A. Mentrelli
We discuss the propagation of harmonic and transient waves for systems governed by a wave equation with memory whose integral kernel involves ratios of modified Bessel functions of…
On exterior-algebraic quaternions with application to Maxwell equations
Ivano Colombaro
Within the framework of exterior algebra, the concept of time-like quaternions has been previously established. This paper advances beyond the existing structure by elucidating the…
On variable-order fractional linear viscoelasticity
A. Giusti, I. Colombaro, R. Garra +2
We discuss a generalisation of fractional linear viscoelasticity based on Scarpi's approach to variable-order fractional calculus. After reviewing the general mathematical framewor…