Articles 


Fuzzy Hyper
Pseudo
BCKIdeals
of Hyper
Pseudo
BCKAlgebras
In this
paper, by
considering
notion of
fuzzy set,
we define
the 6 types
of fuzzy
hyper pseudo
BCKideals
denoted by,
F1, F2, ...,
F6 and
strong fuzzy
hyper pseudo
BCKideal on
hyper pseudo
BCKalgebras.
Then
investigate
their
numerous
properties.
Also
describe the
relationship
between
fuzzy hyper
pseudo BCKideals
and hyper
pseudo BCKideals
of hyper
pseudo BCKalgebras.
Also will
obtained the
relationship
between the
fuzzy hyper
pseudo BCKideals.
This
relationship
is shown in
a lattice
diagram.


T. Koochakpoor
JJMS,
2022, 15(3A),
381398 
In
this
paper,
we
prove
a
uniqueness
theorem
of
derivative’s
of
algebroid
functions
on
annuli
which
improve
and
generalize
the
Navenlinna’s
fivevalue
theorem
for
algebroid
functions
on
annuli.


Ashok
Meghappa
Rathod
JJMS,
2022, 15(3A),
399416

Complex Linear Differential Equations with Analytic Coefficients of Iterated Order in the Annulus
In this paper, we study the growth properties of solutions of the linear
differential equations
f^{(k)} + B_{k−1} (z) f^{(k−1) }+ · · · + B_{1} (z) f′ + B_{0} (z) f = 0,
f^{(k)} + B_{k−1} (z) f^{(k−1)} + · · · + B_{1} (z) f′ + B_{0 }(z) f = F,
where B_{k−1} (z), ..., B_{0} (z) and F (z) are analytic functions of iterated order in an annulus. We obtain some results concerning the estimates of the iterated order of solutions of the above equations.


Benharrat
Belaďdi
Yamina
Lassal
JJMS,
2022, 15(3A),
417434



Afif Humam
Pudji Astuti
JJMS,
2022, 15(3A),
435444

Congruences for 5Regular Partitions with Odd Parts Overlined
Let ā_{5}(n) denote the number of 5regular partitions of n with the first
occurrence of an odd number may be overlined. In this paper, we establish many infinite families of congruences modulo powers of 2 for ā_{5}(n). For example, for all n ≥ 0 and β ≥ 0 .............


M. S.
Mahadeva
Naika
Harishkumar
T.
JJMS,
2022, 15(3A),
445465



Shuhui Yang
Yan Lin
JJMS,
2022, 15(3A),
467495

On the
Pseudo 
Projective
Tensor of
Nearly
Cosymplectic
Manifold
The authors
focused on
the geometry
of the
pseudo
projectively
tensor of
nearly
cosymplectic
manifold. In
particular,
it has
established
that the
scalar
curvature
tensor of
the
aforementioned
manifold is
constant.
Moreover,
under the
flatness
property,
the
necessary
condition
for the
nearly
cosymplectic
manifold to
be an
Einstein
space, has
been
determined. 

Nawaf J.
Mohammed
Habeeb M.
Abood
JJMS,
2022, 15(3A),
497506

On the
Connections
between
Padovan
Numbers and
Fibonacci
pNumbers
In this
paper, we
define the
FibonacciPadovan
psequence
and then we
discuss the
connection
of the
FibonacciPadovan
psequence
with the
Padovan
sequence and
Fibonacci
psequence.
In addition,
we obtain
miscellaneous
properties
of the
FibonacciPadovan
pnumbers
such as the
Binet
formulas,
the
exponential,
combinatorial,
permanental
and
determinantal
representations,
and the sums
of certain
matrices. 

Özgür Erdağ
Ömür Deveci
JJMS,
2022, 15(3A),
507521

On
Fuzzification
of nLie
Algebras
The aim of
this paper
is to
introduce
the notion
of
intuitionistic
fuzzy
Lie
subalgebras
and
intutionistic
fuzzy Lie
ideals of
nLie
algebras. It
is a
generalization
of
intuitionistic
fuzzy Lie
algebras.
Then, we
investigate
some of
characteristics
of
intutionistic
fuzzy Lie
ideals
(resp.
subalgebras)
of nLie
algeras.
Finally, we
define the
image and
the inverse
image of
intuitionistic
fuzzy Lie
subalgebra
under nLie
algebra
homomorphism.
The
properties
of
intuitionistic
fuzzy nLie
subalgebras
and
intuitionistic
fuzzy Lie
ideals under
homomorphisms
of nLie
algebras are
studied.
Finally, we
define the
intuitionistic
fuzzy
quotient
nLie
algebra by
an
intuitionistic
fuzzy ideal
of nLie
algebra and
prove that
it is a
nLie
algebra.


Shadi
Shaqaqha
JJMS,
2022, 15(3A),
523540

Skew
Polynomial
Ring of the
Ring of
Morita
Context
Ghahramani
proved that
the skew
polynomial
ring of the
formal
triangular
matrix ring
is
isomorphic
to a formal
triangular
matrix ring.
We aim to
generalize
this work to
the skew
polynomial
ring of a
ring of
Morita
context. Let
M be a ring
of Morita
context and
M[z; θ, d]
be a skew
polynomial
ring over M.
By studying
a particular
ring
homomorphism
θ and a skew
derivation d
on M, one
can show
that M[z; θ,
d] is
isomorphic
to a ring of
Morita
context that
is
constructed
by skew
polynomial
modules and
skew
polynomial
rings. In
this
article, we
use the
definition
of skew
polynomial
module that
was
introduced
in the work
of
Ghahramani. 

Yoshua
Yonatan
Hamonangan
Intan
MuchtadiAlamsyah
JJMS,
2022, 15(3A),
541557

Topological
Invariants
of
Generalized
Splitting
Graphs and
kShadow
Graphs
A
topological
index or an
invariant
can be
defined as a
function
from a
set of
graphs to
the real
line.
Topological
indices are
invariant
under graph
isomorphism.
This paper
deals with
the general
expressions
for various
topological
indices of
two derived
graphs
called
generalized
splitting
graphs and
kshadow
graphs. In
particular
this
manuscript
discuss
about the
first Zagreb
index,
second
Zagreb
index,
Findex,
hyperZagreb
index,
symmetric
division
degree
index, first
and the
second
multiplicative
Zagreb
indices and
a lower
bound for
the
irregularity
index of
generalized
splitting
graphs and
kshadow
graphs.


James Joseph
Charles
Dominic
JJMS,
2022, 15(3A),
559574 
Volume
15, No.
3B,
September 2022

Totally and
CTotally
Real
Submanifolds
of Sasakian
Manifolds
and Sasakian
Space Forms
In the
present
paper, we
study
totally real
submanifolds
of Sasakian
manifolds.
Also, we
study
totally and
Ctotally
real
submanifolds
of Sasakian
space forms
with respect
to LeviCivita
connection
as well as
quarter
symmetric
metric
connection.
We have
obtained
some results
in this
regard.
Among these
results, we
have made an
important
deduction
that the
scalar
curvatures
of a
Ctotally
real
submanifold
of a
Sasakian
space form
with respect
to both the
aforesaid
connections
are the
same. 

Payel
Karmakar
Arindam
Bhattacharyya
JJMS,
2022, 15(3B),
575590 
Existence
Results for
a Class of
Firstorder
Fractional
Differential
Equations
with
Advanced
Arguments
and Nonlocal
Initial
Conditions
This work is
concerned
with the
construction
of solutions
for a class
of first
order
fractional
differential
equations
with
advanced
arguments
and with
nonlocal
initial
conditions.
We also give
some
examples to
illustrate
our results. 

Mohammed
Abdelhakim
Benzian
Mohammed
Derhab
Bachir
Messirdi
JJMS,
2022, 15(3B),
591613 
On Regular
δPreopen
Sets
The aim of
this paper
is to
introduce a
new class of
sets called
regular δpreopen
sets in
topological
spaces. We
characterize
these sets
and study
some of
their
fundamental
properties.
Also, new
decompositions
of complete
continuity
and perfect
continuity
are
obtained. 

J. B.
Toranagatti
T. Noiri
JJMS,
2022, 15(3B),
615627 
Application
of T −
curvature
Tensor in
Spacetimes
In this
paper we
show that T
flat
spacetime is
Einstein
with
constant
curvature
and the
energy
momentum
tensor of
this
spacetime
satisfying
the
Einstein’s
field
equation
with the
cosmological
constant is
covariant
constant.
Then we find
the length
of the Ricci
operator and
derive some
geometric
properties
for a T
flat
general
relativistic
viscous
fluid
spacetime.
We also see
that for a
purely
electromagnetic
distribution
the scalar
curvature of
a T flat
spacetime
satisfying
the
Einstein’s
field
equation
without
cosmological
constant
vanishes.
Lastly we
study the
general
relativistic
viscous
fluid
spacetime
with the
divergencefree
T curvature
tensor with
respect to
some
conditions
and the
possible
local
cosmological
structure is
of Petrov
type I, D or
O. 

Nandan
Bhunia
Sampa Pahan
Arindam
Bhattacharyya
JJMS,
2022, 15(3B),
629641

Several
Results on
Sum Divisor
Cordial
Graph
A sum
divisor
cordial
labeling of
a graph G
with vertex
set V is a
bijection f
from V to
{1, 2, · · ·
, V (G)}
such that an
edge uv is
assigned the
label 1 if 2
divides f(u)
+ f(v) and 0
otherwise;
and the
number of
edges
labeled with
0 and the
number of
edges
labeled with
1 differ by
at most 1. A
graph with a
sum divisor
cordial
labeling is
called a sum
divisor
cordial
graph. In
this paper,
we prove
that every
transformed
tree admits
sum divisor
cordial
labeling.
Also, we
investigate
the sum
divisor
cordial
labeling of
the graph
obtained by
identifying
the vertex
of graphs.
Finally, we
discuss the
sum divisor
cordial
labeling of
splitting
graph and
middle
graph. 

A.
Lourdusamy
F. Patrick
JJMS,
2022, 15(3B),
643660

Certain
Subordination
Results on
the Class of
Strongly
Starlike
pValent
Analytic
Functions
In this
paper we
define and
study a
class LS^{*}_{p}
(α) of pvalent
analytic
functions
associated
with the
right half
of the
lemniscate
of
Bernoulli.
This study
is an
attempt to
find some
symmetry or
pattern when
function f ϵ
A_{p}.
Here we
determine
Hankel
determinant
of some
initial
coefficients
of the
Taylor
series
expansion.
Sharp bounds
of the
Hankel
determinant
of order 2,
bounds of
the initial
coefficients,
FeketeSzegö
type problem
and a radius
result for
this class
are
obtained. 

Rajesh Kumar
Maurya
JJMS,
2022, 15(3B),
661681

On
Generalized
Dconformal
Deformations
of almost
Contact
Metric
Manifolds
and Harmonic
Maps
The
objective of
this paper
is to study
and
construct
harmonic
maps among
almost
contact
metric
manifolds by
introducing
the notion
of
generalized
Dconformal
deformation.


Mohammed
Elmahdi
Abbes
Seddik
Ouakkas
JJMS,
2022, 15(3B),
683700

Certain
Semiprime
Modules
In this
work, we
introduce a
certain
semiprime
modules
called ”semivital”
and show
that a ring
R is
semiprime
iff R is a
semivital
Rmodule.
Then, we
collect some
basic
properties
concerning
semivital
modules.


H. Khabazian
JJMS,
2022, 15(3B),
701716

A New
Extension of
the Inverse
Power Lomax
Distribution
In
this
article, we
propose a
new
extension of
the inverse
power Lomax
distribution
that takes
advantage of
the
functionalities
of the sine
transformation.
It is called
the sine
inverse
power Lomax
(SIPL)
distribution.
In the first
part, its
primary
characteristics
are first
identified.
The
heavytailed
nature of
the SIPL
distribution,
as well as
the
versatility
of its
distribution
functions,
are
emphasized.
Also, among
other
things, we
prove some
firstorder
stochastic
dominance
structures
and derive
expressions
for the
quantile
function,
diverse
moments, and
income
curves.
Subsequently,
the
predictive
ability of
the SIPL
model is
investigated.
A maximum
likelihood
calculation
technique is
used to
estimate the
parameters
of the
model, and
simulations
are run to
verify its
effectiveness.
Then, two
actual data
sets are
considered
for
analysis.
When the
SIPL model
is compared
to other
Lomaxtype
models, it
comes first
according to
standard
statistical
metrics. 

Vasili. B.
V. Nagarjuna
Christophe
Chesneau
JJMS,
2022, 15(3B),
717740

Modelling,
Analysis and
Optimal
Control to
CoDynamics
of
HIV/AIDSTB
Diseases in
Homogeneous
Population
In this
paper, an
optimal
control
mathematical
model of
HIV/AIDS and
TB
coinfection
with
vaccination
and relapse
is developed
and analysed
by dividing
the total
human
population
under
consideration
into five
compartments,
namely,
susceptible
(S),
TBinfected
(T ),
HIVinfected
(H),
vaccinated
(V ) and
AIDSinfected
(A). We
analysed the
steady
states
behaviour of
the
dynamical
system
representing
the
coinfection
transmission
dynamics of
HIV/AIDS and
TB epidemic.
The
mathematical
model
possesses
four
equilibrium
points such
as disease
free,
HIV/AIDS
infection
free, TB
infection
free and
vaccination
free. The
stability of
aforesaid
cases is
also
investigated.
A threshold
parameter
reproduction
number R_{0}
is computed
and if R_{0}
< 1 the
disease dies
out and it
becomes
endemic if R_{0}
> 1. It is
also found
that the
coinfection
period also
influences
the
transmission
patterns of
diseases.
Some
important
theorems and
results are
proved.
Optimal
control
solutions
are provided
to predict
the efficacy
of
vaccination
and control
strategies.
The
sensitivity
analysis has
also been
facilitated
to carry out
the effects
of certain
key
parameters
on the
diseases
codynamics.
It is found
that
administration
of
appropriate
vaccine at
proper time
could be
more
effective in
controlling
the
coinfection.
The relapse
factor is
also
considered
in the model
where the
vaccination
fails.


Tanveer
Ahmed
Ram Singh
Khalil Ahmad
JJMS,
2022, 15(3B),
741771

Some
Properties
of
Balancing
Numbers
In
this paper
we discuss
some aspects
and
properties
of Balancing
Numbers and
some other
related
numbers. We
prove, among
other
things, that
a balancing
number
cannot be a
power of a
prime
integer. We
give some
identities
concerning
these
numbers and
its related
numbers. We
use linear
algebra
techniques
to write a
balancing
number and
its related
numbers in
the Binet
form.


Jebrel M.
Habeb
JJMS,
2022, 15(3B),
773785
