13 citations · 37 across the 19 of their papers we have counts for
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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…
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…
Time fractional exact controllability
Paola Loreti, Daniela Sforza
Our purpose is to adapt the Hilbert Uniqueness Method by J.-L. Lions in the case of fractional diffusion-wave equations. The main difficulty is to determine the right shape for the…
Inverse Ingham type inequalities for the Burgers model
Paola Loreti, Daniela Sforza
Viscoelastic materials have the properties both of elasticity and viscosity. In a previous work we investigate glass relaxation in the framework of viscoelasticity. Here we conside…