29 citations · 98 across the 37 of their papers we have counts for
8 papers · 1 filter
Topology of univoque sets in real base expansions
Martijn de Vries, Vilmos Komornik, Paola Loreti
Given a positive integer and a real number , an expansion of a real number over the alphabet is a sequence $(…
Trace regularity for biharmonic evolution equations with Caputo derivatives
Paola Loreti, Daniela Sforza
Our goal is to establish a hidden regularity result for solutions of time fractional Petrovsky system where the Caputo fractional derivative is of order . We achieve suc…
A dynamic programming approach for controlled fractional SIS models
Simone Cacace, Anna Chiara Lai, Paola Loreti
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 rela…
Effects of fractional derivatives in epidemic models
Caterina Balzotti, Mirko D'Ovidio, Anna Chiara Lai +1
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 acco…
Weak solutions for time-fractional evolution equations in Hilbert spaces
Paola Loreti, Daniela Sforza
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 str…
Solutions of Bernoulli equations in the fractional setting
Mirko D'Ovidio, Anna Chiara Lai, Paola Loreti
We present a general series representation formula for the local solution of Bernoulli equation with Caputo fractional derivatives. We then focus on a generalization of the fractio…