Mathematical Biosciences & Engineering,
Год журнала:
2023,
Номер
20(12), С. 21514 - 21536
Опубликована: Янв. 1, 2023
Assessing
potential
threats
typically
necessitates
the
use
of
a
robust
mathematical
model,
comprehensive
evaluation
method
and
universal
decision
rules.
A
novel
approach
is
utilized
in
this
study
to
optimize
existing
threat
assessment
(TA)
algorithms
three-way
models
(3WDMs)
are
leveraged
that
incorporate
decision-theoretic
rough
sets
(DTRSs)
within
dynamic
intuitionistic
fuzzy
(IF)
environments
create
mixed-attitude
3WDM
based
on
IF-VIKOR-GRA
context
aviation
warfare.
The
primary
objectives
include
determining
conditional
probabilities
for
IF
decisions
(3WDs)
establishing
thresholds.
Both
target
attribute
loss
function
expressed
form
numbers
(IFNs).
To
calculate
these
probabilities,
an
technique
used
combine
multi-attribute
decision-making
(MADM)
VIKOR
grey
relational
analysis
(GRA)
method,
while
also
taking
into
account
risk-related
preferences
decision-makers
(DMs).
Optimistic
pessimistic
3WDMs
developed
from
perspectives
membership
degree
non-membership
degree,
then
subsequently
integrated
3WDM.
feasibility
effectiveness
methodology
demonstrated
through
numerical
example
by
comparison
other
approaches.
Results in Physics,
Год журнала:
2023,
Номер
56, С. 107298 - 107298
Опубликована: Дек. 27, 2023
In
the
past
few
years,
there
has
been
a
growing
interest
in
investigating
search
for
solitary
wave
solutions
realm
of
nonlinear
partial
differential
equations.
This
endeavor
represents
captivating
and
challenging
area
research.
The
primary
objective
this
study
is
to
investigate
Zakharov
system
through
comprehensive
analysis
that
integrates
logarithmic
transformations
symbolic
structures
exponential
functions.
holds
remarkable
importance
as
fundamental
cornerstone
field
plasma
physics,
derived
from
profound
intellect
esteemed
mathematicians
physicists.
By
examining
diverse
range
solution
forms
including
trigonometric,
hyperbolic,
rational
expressions,
research
delves
into
complexities
behavior.
Notably,
introduction
arbitrarily
selected
constants
imbues
these
with
multifaceted
dynamic
nature.
support
findings,
article
presents
several
numerical
simulations
align
solutions.
utilized
methods
stand
out
being
simple,
reliable,
capableof
creating
fresh
equations
mathematical
physics.
Other
significance
lies
its
innovative
methodologies
previously
unexplored
particular
model,
thereby
broadening
scientific
toolkit.
Moreover,
versatility
techniques
offers
potential
seamless
adaptation
addressing
various
other
Physica Scripta,
Год журнала:
2024,
Номер
99(3), С. 035001 - 035001
Опубликована: Янв. 8, 2024
Abstract
This
paper
constructs
three
different
anisotropic
extensions
of
the
existing
isotropic
solution
to
modified
field
equations
through
gravitational
decoupling
in
f(R,
mathvariant="double-struck">T
stretchy="false">)
theory.
For
this,
we
take
a
static
sphere
that
is
initially
filled
with
fluid
and
then
add
new
source
producing
anisotropy
system.
The
now
correspond
total
matter
configuration.
We
transform
radial
metric
component
split
these
into
two
sets
characterizing
their
parent
sources.
unknowns
comprising
first
set
are
determined
by
considering
Buchdahl
solution.
On
other
hand,
employ
constraints
related
additional
make
second
system
solvable.
Further,
constant
triplet
calculated
means
matching
criteria
between
interior
exterior
geometries
at
spherical
boundary.
mass
radius
compact
star
LMC
X-4
used
analyze
physical
relevancy
developed
models.
conclude
our
resulting
models
II
III
well-agreement
acceptability
conditions
for
considered
values
parameters.
In
this
study,
we
employ
the
effective
iterative
method
to
address
fractional
Wu-Zhang
Equation
within
framework
of
Caputo
Derivative.
The
offers
a
practical
approach
obtaining
approximate
solutions
for
differential
equations.
We
seek
provide
insights
into
its
solution
and
behavior
by
applying
Equation.
Through
numerical
analysis
presentation
relevant
tables
Figures,
demonstrate
accuracy
efficiency
in
solving
This
research
contributes
understanding
fractional-order
equations
their
applications
various
scientific
engineering
domains.
Engineering Computations,
Год журнала:
2024,
Номер
41(3), С. 489 - 515
Опубликована: Апрель 10, 2024
Purpose
The
purpose
of
this
study
is
to
solve
two
unique
but
difficult
partial
differential
equations:
the
foam
drainage
equation
and
nonlinear
time-fractional
fisher’s
equation.
Through
our
methods,
we
aim
provide
accurate
solutions
gain
a
deeper
understanding
intricate
behaviors
exhibited
by
these
systems.
Design/methodology/approach
In
study,
use
dual
technique
that
combines
Aboodh
residual
power
series
method
transform
iteration
method,
both
which
are
combined
with
Caputo
operator.
Findings
We
develop
exact
efficient
merging
methodologies.
Our
results,
presented
through
illustrative
figures
data,
demonstrate
efficacy
versatility
methods
in
tackling
such
complex
mathematical
models.
Originality/value
Owing
their
fractional
derivatives
behavior,
equations
crucial
modeling
processes
confront
analytical
complications
various
scientific
engineering
contexts.
Scientific Reports,
Год журнала:
2024,
Номер
14(1)
Опубликована: Янв. 16, 2024
Abstract
Habanero
plant
diseases
can
significantly
reduce
crop
yield
and
quality,
making
early
detection
treatment
crucial
for
farmers.
In
this
study,
we
discuss
the
creation
of
a
modified
VGG16
(MVGG16)
Deep
Transfer
Learning
(DTL)
model-based
smartphone
app
identifying
habanero
diseases.
With
help
application,
growers
quickly
diagnose
health
by
taking
photo
one
its
leaves.
We
trained
DTL
model
on
dataset
labelled
images
healthy
infected
plants
evaluated
performance
separate
test
dataset.
The
MVGG16
algorithm
had
an
accuracy,
precision,
f1-score,
recall
AUC
98.79%,
97.93%,
98.44%,
98.95
98.63%,
respectively,
testing
was
then
integrated
into
that
enables
users
to
upload
photographs,
get
diagnosed,
explore
history
earlier
diagnoses.
tested
software
collection
photos
leaves
discovered
it
highly
accurate
at
spotting
plants.
boost
identification
diseases,
resulting
in
higher
output
higher-quality
harvests.
Chemical Engineering Communications,
Год журнала:
2024,
Номер
211(6), С. 844 - 858
Опубликована: Янв. 4, 2024
When
analyzing
materials
non-isothermally
using
the
Arrhenius
equation
under
linear
heating,
a
temperature
integration
is
necessary.
While
frequency
factor
in
this
typically
assumed
to
be
constant,
it
can
actually
vary
with
for
certain
solid-state
reactions.
The
resulting
integral,
known
as
or
general
integrals,
usually
have
no
analytical
solutions.
Therefore,
special
functions
and
approximation
are
often
used
estimate
them.
In
particular
study,
new
rational
approximations
integrals
were
derived
through
expansion
of
incomplete
gamma
function.
Two
sets
these
approximations,
which
exhibit
excellent
accuracy,
presented.
One
set
integral
matches
widely
Senum
Yang's
while
other
set,
offers
even
greater
has
not
been
previously
reported.
An
obtained
utilized
simulate
thermal
degradation
commercially
available
PMMA,
illustrating
practical
application
example.
Physica Scripta,
Год журнала:
2024,
Номер
99(1), С. 015253 - 015253
Опубликована: Янв. 1, 2024
Abstract
This
study
delves
into
the
exploration
and
analysis
of
fractional
order
Drinfeld-Sokolov-Wilson
(FDSW)
system
within
framework
Caputo
operator.
To
address
this
complex
system,
two
innovative
methods,
namely
Aboodh
transform
iteration
method
(ATIM)
residual
power
series
(ARPSM),
are
introduced
applied.
These
methods
offer
efficient
computational
tools
to
investigate
FDSW
particularly
in
context
utilizing
The
ATIM
ARPSM
employed
solve
analyze
allowing
for
derivation
solutions
insights
system’s
behavior
dynamics.
utilization
these
novel
showcases
their
efficacy
handling
intricate
characteristics
under
differentiation,
offering
a
deeper
understanding
its
mathematical
properties
behaviors.
Heliyon,
Год журнала:
2024,
Номер
10(7), С. e28963 - e28963
Опубликована: Апрель 1, 2024
The
concept
of
T-spherical
fuzzy
sets
(T-SFSs)
provides
a
robust
optimization
approach
to
deal
with
uncertainties
in
environmental
concerns.
main
objective
this
paper
is
introduce
hybrid
for
the
power
system
reforms
and
advances
low-carbon
technology
address
concerns
as
well
transition
towards
more
sustainable
energy
infrastructure.
To
meet
these
objectives,
various
aggregation
operators
(AOs)
are
developed
named
Dubois-Prade
(T-SFDP),
interactive
weighted
average
(T-SFIDPWA),
ordered
(T-SFIDPOWA),
geometric
(T-SFIDPWG),
(T-SFIDPOWG).
These
AOs
integrated
construction
CRITIC-EDAS
framework,
facilitating
comprehensive
assessment
ranking
proposals.
This
underscores
methodology's
efficacy
precision
through
rigorous
validation
CRITIC-MAUT,
CRITIC-ARAS,
CRITIC-EDAS,
CRITIC-MABAC
analyses,
showcasing
its
ability
discern
prioritize
reform
initiatives
exactitude.
Beyond
enhancing
comprehension
proposals,
establishes
benchmark
future
evaluations,
significantly
contributing
dynamic
landscape
optimization.
clarity
offer
decision-makers
valuable
tool
thorough
prioritization
initiatives,
fostering
sustainability
environmentally
conscious
advancements.