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Latest
Issue
Volume
17, No.
1,
March
2024
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Haar Wavelet
Collocation
Method for
Telegraph
Equations
with
Different
Boundary
Conditions
In this
article, we
study the
Haar wavelet
operational
matrix
approach for
finding the
numerical
solutions of
hyperbolic
telegraph
equations
under
suitable
initial and
boundary
conditions.
It has been
approximated
in both
space and
time using
the Haar
wavelets
series with
unknown
coefficients.
The
advantage of
the method
is that it
reduces the
original
problems to
a set of
algebraic
equations
that can be
solved using
standard
methods. The
precision
and efficacy
of the
numerical
method are
shown via
numerical
examples. It
has been
shown
experimentally
that the
approach is
straightforward,
precise,
when
compared to
some of the
current
numerical
methods.
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Shahid Ahmed
Shah Jahan
K. S. Nisar
JJMS, 2024,
17(1),
1-21 |
This
article
studies
how
to
figure
out
important
parameters
in
the
HIV/AIDS
model
using
sensitivity
analysis.
The
parameters
that
arise
in
the
basic-reproduction
number
(R0)
are
calculated
to
get
the
sensitivity
index.
We
get
two
significant
parameters,
Ω
and
β2,
the
recruitment
rate
of
uneducated
subpopulation
and
transmission
rate
from
uneducated
individual
to
infected
individual
taking
ARV,
respectively.
These
parameters
give
a
higher
contribution
to
the
transmission
of
HIV.
Furthermore,
we
conduct
the
problem
of
optimal
control
on
the
mathematical
model
of
the
spread
of
HIV/AIDS
to
minimize
HIV-infected
individuals.
We
propose
two
controls,
public
education
and
ARV
treatment.
We
establish
the
existence
of
an
optimal
control
pair.
The
Pontryagin
minimum
principle
is
used
to
obtain
the
best
conditions
to
control
the
disease
transmission.
Numerical
simulations
were
conducted
to
get
the
results
of
the
analysis.
The
results
show
that
a
combination
of
public
education
and
ARV
treatment
helps
to
control
the
spread
of
HIV
disease
and
to
get
the
minimum
cost
related
to
the
realization
of
controls.
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Ummu Habibah
Muhammad A.
Rois
JJMS,
2024,
17(1),
23-43
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QMLE of the General Periodic GARCH Models
In this article, we study the necessary and sufficient conditions that guarantee the strict stationarity of general periodic generalized autoregressive conditional heteroskedasticity models (in the periodic sense). We also obtain conditions for the existence of finite higher-order moments under general and tractable assumptions. We propose the quasi-maximum likelihood estimation of general periodic generalized autoregressive conditional heteroskedasticity parameters and derive their asymptotic properties. We demonstrate the strong consistency and asymptotic normality of the quasi-maximum likelihood estimation in special cases.
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Ahmed Ghezal
Imane
Zemmouri
JJMS, 2024,
17(1),
45-64
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On Multi-Hyperrings
In this paper, we introduce multi-hyperrings and obtain several related results. Also, we study the concept of sub-multi-hyperring and different operations on multi-hyperrings such that intersection, union, direct product, and homomorphism, and investigate their main properties.
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A. Fayazi
T. Nozari
R. Ameri
M. Norouzi
JJMS, 2024, 17(1),
65-83
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Gyrotransversals of order p 3
In this paper, we compute the isomorphism classes of gyrotransversals of order p3 corresponding to a fixed subgroup of order p in the group Zp⋉Zp3 , where p is an odd prime. This yields a lower bound for the number of right gyrogroups of order p3 upto isomorphism. In addition, we obtain a lower bound for the non-isomorphic right gyrogroups of order p3 of nilpotency class 2.
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Ramjash
Gurjar
Ratan Lal
Vipul Kakkar
JJMS, 2024,
17(1),
85-97
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On Higher order Homoderivations in Semi-Prime Rings
Considering R as an associative ring, a map h which is additive on R with the property h(zw) = h(z)h(w) + h(z)w + zh(w) valid for every z, w ϵ R is called a homoderivation on R. In this paper our purpose is to demonstrate results about this kind of mappings on rings. The link between n-Jordan homoderivations that are mappings...........................
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Said Belkadi
Lahcen
Taoufiq
JJMS, 2024,
17(1),
99-112
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Fractional
Multiplicative
Ostrowski-Type
Inequalities
for
Multiplicative
Differentiable
Convex
Functions
In this
manuscript,
we propose a
new
fractional
identity for
multiplicative
differentiable
functions,
based on
this
identity we
prove some
fractional
Ostrowski-type
inequalities
for
multiplicative
convex
functions.
Some
applications
of the
obtained
results are
given.
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Badreddine
Meftah
Hamid
Boulares
Aziz Khan
Thabet
Abdeljawad
JJMS, 2024,
17(1),
113-128
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On Tades of
Transformed
Tree and
Path Related
Graphs
Given a
graph G.
Consider a
total
labeling ξ :
V ⋉ E → {1,
2, . . . ,
k}. Let e =
xy and f =
uv be any
two
different
edges of G.
Let wt(e)⋉wt(f)
where wt(e)
= |ξ(e)−ξ(x)−ξ(y)|.
Then ξ is
said to be
edge
irregular
total
absolute
difference
k-labeling
of G. Then
the total
absolute
difference
edge
irregularity
strength of
G, tades
(G), is the
least number
k such that
there is an
edge
irregular
total
absolute
difference
k-labeling
for G. Here,
we study the
tades (G) of
Tp-tree and
path related
graphs.
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A.
Lourdusamy
F. Joy
Beaula
JJMS, 2024,
17(1),
129-143
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Ring
endomorphisms
satisfying
Z-symmetric
property
The notion
of α-skew
Z-symmetric
rings is
introduced
as a
generalization
of
Z-symmetric
rings. We
prove that
the notions
of α-skew
Z-symmetric
rings and
Z-symmetric
rings are
independent,
and we give
some
sufficient
conditions
over which
these
notions are
equivalent.
We
investigate
some basic
properties
of α-skew
Z-symmetric
rings and
give a
characterization
of them.
Moreover, we
provide some
characterizations
of α-skew
Z-symmetric
rings
utilizing
the Dorroh
extension,
triangular
matrix ring
etc.
Finally, we
generalize
some results
of
Z-symmetric
rings to
α-skew
Z-symmetric
rings. |
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Avanish
Kumar
Chaturvedi
Nirbhay
Kumar
JJMS, 2024,
17(1),
145-159
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Generalization
of
Ostrowski’s
Type
Inequality
Via
Riemann-Liouville
Fractional
Integral and
Applications
in Numerical
Integration,
Probability
Theory and
Special
Means
We apply
Riemann-Liouville
fractional
integral to
get a new
generalization
of
Ostrowski’s
type
integral
inequality.
We may prove
new
estimates
for the
remainder
term of the
midpoint’s,
trapezoid’s,
& Simpson’s
formulae as
a result of
the
generalization.
Our
estimates
are
generalized
and
recaptured
some
previously
obtained
estimates.
Applications
are also
deduced for
numerical
integration,
probability
theory and
special
means. |
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Faraz
Mehmood
Akhmadjon
Soleev
JJMS, 2024,
17(1),
161-178
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B-spline
Estimate of
the
Regression
Function
under
General
Censorship
Model
In a
continuity
reasoning of
the
different
estimators
proposed by
de Kebabi et
al. [21] and
recently
Douas et al.
[11] and
Laroussi
[26]. The
construction
of the
regression
function
estimator is
based on
three axes.
The first
one is the
application
of the
non-parametric
estimate,
namely, the
least-squares
technique.
The second
axis
represents
the general
censorship
which
combines all
the existing
types of
censorship.
Hence,
empirical
L2-error
estimates
are
constructed
over
data-dependent
spaces of B-spline
functions.
The almost
sure
convergence
of the
proposed
estimator is
studied.
Essentially,
two models
subject to
twice or
right
censorship
are assessed
and this
phenomena of
censorship
identified
by the
simulation
shows the
interest of
this
estimator. |
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Ilhem
Laroussi
JJMS, 2024,
17(1),
179-197 |
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