RT journal article
T1 Maximal regularity of solutions for the tempered fractional Cauchy problem
A1 Alvarez, Edgardo
A1 Lizama, Carlos
A1 Murillo Arcila, Marina
A2 Matemáticas
K1 Maximal regularity
K1 Hölder spaces
K1 Abstract Cauchy problem
K1 Tempered fractional derivatives
AB Let $X$ be a Banach space. Given a closed linear operator $A$ defined on $X$ we show that, in vector-valued H\"older spaces $C^{\alpha}(\R,X)\, \, (0<\alpha<1)$,  maximal regularity  for the  abstract Cauchy problem can be characterized solely in terms of a spectral property of the operator $A$, when we equip  the Cauchy problem with the tempered fractional derivative. In particular, we show  that generators of bounded analytic semigroups  admit maximal regularity.
PB Elsevier
SN 0022-1236
YR 2026
FD 2026
LK http://hdl.handle.net/10498/37336
UL http://hdl.handle.net/10498/37336
LA eng
DS Repositorio Institucional de la Universidad de Cádiz
RD 10-may-2026