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math.AP2025
Energy decay for evolution equations with glassy type memory
Paola Loreti, Daniela Sforza
In this paper, we address the question of estimating the energy decay of integro-differential evolution equations with glassy memory. This class of memory kernel was not analyzed i…
math.NT2025
Gap estimates for the spectrum of -bonacci numbers
Anna Chiara Lai, Paola Loreti
We establish some results on the structure of the spectrum of -bonacci numbers. More precisely, we study explicit lower bounds for the distance between elements separated by …
math.AP2025
Trace operators for Riemann--Liouville fractional equations
Paola Loreti, Daniela Sforza
We begin with a brief overview of the most commonly used fractional derivatives, namely the Caputo and Riemann-Liouville derivatives. We then focus on the study of the fractional t…