RT info:eu-repo/semantics/article
T1 Hölder regularity for abstract semi-linear fractional differential equations in Banach spaces
A1 Cuesta Montero, Eduardo
A1 Ponce, Rodrigo
K1 A posteriori error estimates; Fractional differential equations; Nonlinear equations; Sectorial operators; Hölder continuity; Optimal regularity
AB In the present work the optimal regularity, in the sense of Hölder continuity, of linear and semi-linear abstract fractional differential equations is investigated in the framework of complex Banach spaces. This framework has been considered by the authors as the most convenient to provide a posteriori error estimates for the time discretizations of such a kind of abstract differential equations. In the spirit of the classical a posteriori error estimates, under certain assumptions, the error is bounded in terms of computable quantities, in our case measured in the norm of Hölder continuous and weighted Hölder continuous functions.
PB Elsevier
SN 0898-1221
YR 2021
FD 2021-03-01
LK https://uvadoc.uva.es/handle/10324/64361
UL https://uvadoc.uva.es/handle/10324/64361
LA eng
NO Computers & Mathematics with Applications, March 2021 vol. 85, p. 57-68.
NO Producción Científica
DS UVaDOC
RD 22-nov-2024