Artículo de revista
Periodic solutions of a fractional neutral equation with finite delay
Fecha
2014Registro en:
J. Evol. Equ. 14 (2014), 417–444
DOI 10.1007/s00028-014-0221-y
Autor
Poblete Oviedo, Verónica
Pozo, Juan C.
Institución
Resumen
In this paper, we prove the maximal regularity property of an abstract fractional differential
equation with finite delay on periodic Besov and Triebel–Lizorkin spaces and use these results to guarantee
the existence and uniqueness of periodic solution of a neutral fractional differential equation with finite
delay. The main tool used to achieve our goal is an operator-valued version of Miklhin’s Fourier multiplier
theorem and fixed-point argument.