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Maximal L p ‐regularity for fractional differential equations on the line
Author(s) -
Ponce Rodrigo,
Poblete Verónica
Publication year - 2017
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201600175
Subject(s) - mathematics , sobolev space , real line , lp space , fractional calculus , lebesgue integration , mathematical analysis , differential equation , line (geometry) , half line , pure mathematics , banach space , geometry , boundary value problem
We characterize the L p ‐maximal regularity of an abstract fractional differential equation with delay on the Lebesgue spaces. The method is based on the theory of operator‐valued Fourier multipliers and weighted Sobolev spaces on the line.