From the 1 of 4 linked papers with an AI index.
4 papers
A parametrix construction for time-fractional partial differential equations
Sandro Coriasco, Giovanni Girardi, Stevan PilipoviÄ
The paper details how to build a parametrix for parameter‑dependent pseudodifferential operators that arise in time‑fractional partial differential equations, analyzing the paramet…
Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces
Sanja Atanasova, Smiljana JakÅ¡iÄ, Snježana MaksimoviÄ +1
In this paper, we first present an Abelian-type theorem for the fractional Hankel transform (FrHT) within Zemanian generalized function spaces. To prove this, we show that these sp…
Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces
Sanja Atanasova, Smiljana JakÅ¡iÄ, Snježana MaksimoviÄ +1
In this paper, we first present an Abelian-type theorem for the fractional Hankel transform (FrHT) within Zemanian generalized function spaces. To prove this, we show that these sp…
Representation formula, regularity and decay of solutions for sub-diffusion type equations
Sandro Coriasco, Giovanni Girardi, Stevan PilipoviÄ
We study regularity and decay properties for the solutions of the Cauchy problem for time-fractional partial differential equations, with tempered initial data, belonging to suitab…