Maximal regularity in l(p) spaces for discrete time fractional shifted equations
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comunitat-uji-handle3:10234/8635
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Title
Maximal regularity in l(p) spaces for discrete time fractional shifted equationsDate
2017-09Publisher
ElsevierBibliographic citation
LIZAMA, Carlos; MURILLO-ARCILA, Marina. Maximal regularity in l p spaces for discrete time fractional shifted equations. Journal of Differential Equations, 2017.Type
info:eu-repo/semantics/articlePublisher version
http://www.sciencedirect.com/science/article/pii/S0022039617302462Version
info:eu-repo/semantics/acceptedVersionAbstract
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
mode ... [+]
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. [-]
Investigation project
CONICYT under FONDECYT (grant number 1140258 and Proyecto Anillo ACT 1112) ; Basque Government through the BERC 2014–2017 program, by Spanish Ministry of Economy and Competitiveness MINECO: BCAM Severo Ochoa excellence accreditation (SEV-2013-0323, by 644202 GEAGAM, H2020-MSCA-RISE-2014) and by MEC (grant MTM2016-75963-P)Rights
© 2017 Elsevier Inc. All rights reserved.
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info:eu-repo/semantics/openAccess
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info:eu-repo/semantics/openAccess
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