4 papers
A parametrix construction for time-fractional partial differential equations
Sandro Coriasco, Giovanni Girardi, Stevan Pilipović
We prove in detail how to construct the parametrix of a parameter-dependent family of pseudodifferential operators, appearing in the analysis of time-fractional partial differentia…
Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces
Sanja Atanasova, Smiljana Jakšić, Snježana Maksimović +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 Pilipović
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…
Abelian and Tauberian results for the fractional Hankel transform in Zemanian-type spaces
Sanja Atanasova, Smiljana Jakšić, Snježana Maksimović +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…