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Caputo

Caputo is an Italian surname. The name is found throughout Italy and among Italian-descended communities, and it is borne by many individuals across various professions, including science, culture, and public life. In addition to its use as a family name, Caputo appears in academic contexts related to mathematics and applied sciences.

In mathematics and applied sciences, Caputo refers to the Caputo fractional derivative, a standard formulation of

The Caputo surname has appeared in various other contexts as well, including notable individuals in science,

a
fractional
derivative
used
in
modeling
anomalous
diffusion
and
viscoelastic
phenomena.
The
Caputo
derivative
is
named
after
Italian
mathematician
Michele
Caputo.
For
a
function
f
defined
on
[0,
∞)
and
with
n−1
<
α
<
n,
the
Caputo
derivative
of
order
α
is
given
by
D^α
f(t)
=
(1/Γ(n−α))
∫_0^t
f^(n)(ξ)
(t−ξ)^{n−α−1}
dξ,
where
f^(n)
is
the
n-th
derivative
of
f.
This
form
is
often
preferred
in
physical
problems
because
its
initial
conditions
resemble
those
of
classical
differential
equations.
the
arts,
and
public
life.
The
name
remains
one
of
many
Italian
surnames
that
have
contributed
to
global
academia
and
culture.