Zobrazeno 1 - 10
of 297
pro vyhledávání: '"Loreti, Paola"'
We consider initial boundary value problems for time fractional diffusion-wave equations: $$ d_t^{\alpha} u = -Au + \mu(t)f(x) $$ in a bounded domain where $\mu(t)f(x)$ describes a source and $\alpha \in (0,1) \cup (1,2)$, and $-A$ is a symmetric ell
Externí odkaz:
http://arxiv.org/abs/2307.16665
We consider an initial boundary value problem in a bounded domain $\Omega$ over a time interval $(0, T)$ for a time-fractional wave equation where the order of the fractional time derivative is between $1$ and $2$ and the spatial elliptic operator ha
Externí odkaz:
http://arxiv.org/abs/2304.07518
Autor:
Lai, Anna Chiara, Loreti, Paola
We investigate optimal expansions of Kakeya sequences for the representation of real numbers. Expansions of Kakeya sequences generalize the expansions in non-integer bases and they display analogous redundancy phenomena. In this paper, we characteriz
Externí odkaz:
http://arxiv.org/abs/2211.11307
Autor:
Loreti, Paola, Sforza, Daniela
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 adjoint system, suitable for the procedure of HUM.
Externí odkaz:
http://arxiv.org/abs/2206.09791
Autor:
Loreti, Paola, Sforza, Daniela
Publikováno v:
In Applied Mathematics Letters October 2024 156
Autor:
Loreti, Paola, Sforza, Daniela
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 consider the Burgers model, a first but meaningful step in the general analys
Externí odkaz:
http://arxiv.org/abs/2202.08217
Given a positive integer $M$ and a real number $q \in (1,M+1]$, an expansion of a real number $x \in \left[0,M/(q-1)\right]$ over the alphabet $A=\{0,1,\ldots,M\}$ is a sequence $(c_i) \in A^{\mathbb N}$ such that $x=\sum_{i=1}^{\infty}c_iq^{-i}$. Ge
Externí odkaz:
http://arxiv.org/abs/2109.01460
Autor:
Loreti, Paola, Sforza, Daniela
Our goal is to establish a hidden regularity result for solutions of time fractional Petrovsky system where the Caputo fractional derivative is of order $\alpha\in(1,2)$. We achieve such result for a suitable class of weak solutions.
Comment: ar
Comment: ar
Externí odkaz:
http://arxiv.org/abs/2108.03417
We investigate a susceptible-infected-susceptible (SIS) epidemic model based on the Caputo-Fabrizio operator. After performing an asymptotic analysis of the system, we study a related finite horizon optimal control problem with state constraints. We
Externí odkaz:
http://arxiv.org/abs/2107.13316
We study epidemic Susceptible-Infected-Susceptible models in the fractional setting. The novelty is to consider models in which the susceptible and infected populations evolve according to different fractional orders. We study a model based on Caputo
Externí odkaz:
http://arxiv.org/abs/2107.02877