Rodrigo Ponce

collaborators

2 papers

math.FA2023

Determination of the order in Abstract fractional differential equations

Rodrigo Ponce

In this paper we identify, for small $t$ and a fixed $T > 0,$ the order $α > 0$ in the abstract fractional differential equation $\partial^{α} u (t) = A u (t),$ where the time-fractional der…

math.AP2016

Asymptotic behavior and representation of solutions to a Volterra kind of equation with a singular kernel

Rodrigo Ponce, Mahamadi Warma

Let $A$ be a densely defined closed, linear $ω$ -sectorial operator of angle $θ \in [0, \frac{π}{2})$ on a Banach space $X$ for some $ω \in R$ . We give an explicit representation…