2024-03-29T13:00:52Zhttps://repositori.uji.es/oai/requestoai:repositori.uji.es:10234/1698852022-02-03T10:13:02Zcom_10234_7037com_10234_9col_10234_8635
Repositori UJI
author
Lizama, Carlos
author
murillo arcila, marina
2017-11-07T10:41:46Z
2017-11-07T10:41:46Z
2017-09
LIZAMA, Carlos; MURILLO-ARCILA, Marina. Maximal regularity in l p spaces for discrete time fractional shifted equations. Journal of Differential Equations, 2017.
http://hdl.handle.net/10234/169885
https://doi.org/10.1016/j.jde.2017.04.035
In
this
paper,
we
are
presenting
a
new
method
based
on
operator-valued
Fourier
multipliers
to
characterize
the
existence
and
uniqueness
of
p
-solutions
for
discrete
time
fractional
models
in
the
form
α
u(n, x)
=
Au(n, x)
+
k
j
=
1
β
j
u(n
−
τ
j
,x)
+
f (n, u(n, x)), n
∈
Z
,x
∈
⊂
R
N
,β
j
∈
R
and
τ
j
∈
Z
,
where
A
is
a
closed
linear
operator
defined
on
a
Banach
space
X
and
α
denotes
the
Grünwald–Letnikov
fractional
derivative
of
order
α>
0.
If
X
is
a
UMD
space,
we
provide
this
characterization
only
in
terms
of
the
R
-boundedness
of
the
operator-valued
symbol
associated
to
the
abstract
model.
To
illustrate
our
results,
we
derive
new
qualitative
properties
of
nonlinear
difference
equations
with
shiftings,
including
fractional
versions
of
the
logistic
and
Nagumo
equations.
eng
© 2017 Elsevier Inc. All rights reserved.
Maximal lp-regularity
Shifted equations
Discrete time
Grünwald–Letnikov derivative
Maximal regularity in l(p) spaces for discrete time fractional shifted equations
info:eu-repo/semantics/article
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URL
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File
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Mur-Liz(JDE)(2016).pdf
URL
https://repositori.uji.es/xmlui/bitstream/10234/169885/7/Mur-Liz%28JDE%29%282016%29.pdf.txt
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Mur-Liz(JDE)(2016).pdf.txt