Zobrazeno 1 - 10
of 78
pro vyhledávání: '"Sforza, Daniela"'
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:
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
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
Autor:
Loreti, Paola, Sforza, Daniela
We introduce a notion of weak solution for abstract fractional differential equations, motivated by the definition of Caputo derivative. We prove existence results for weak and strong solutions. We also give two examples as application of our results
Externí odkaz:
http://arxiv.org/abs/2106.07416
Autor:
Loreti, Paola, Sforza, Daniela
Publikováno v:
In Journal of Mathematical Analysis and Applications 15 March 2024 531(2) Part 2
Publikováno v:
In Applied Mathematics Letters February 2024 148
Autor:
Loreti, Paola, Sforza, Daniela
We will give some regularity results about fractional diffusion-wave equations.
Externí odkaz:
http://arxiv.org/abs/2007.13581