29 citations · 98 across the 37 of their papers we have counts for
51 papers
Properties of a random Cantor set with overlaps
Anna Chiara Lai, Paola Loreti
We study the topology and the Hausdorff dimension of a random Cantor set with overlaps, generated by an iterated function system with scaling ratio equal to the Golden Mean. The re…
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…
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 …
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…
Simultaneous determination of initial value and source term for time-fractional wave-diffusion equations
Paola Loreti, Daniela Sforza, Masahiro Yamamoto
We consider initial boundary value problems for time fractional diffusion-wave equations: in a bounded domain where describes a source and…
Uniqueness of solution to boundary value problems for time-fractional wave equations
Paola Loreti, Daniela Sforza, Masahiro Yamamoto
We consider an initial boundary value problem in a bounded domain over a time interval for a time-fractional wave equation where the order of the fractional time deriv…