409 citations
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math-ph2026
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…
physics.comp-ph2026★ 1 cited
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…
math-ph2026★ 1 cited
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…