

Latest
Issue
Volume
15, No.
4A,
December
2022
Articles 


An Efficient
Haar Wavelet
Series
Method to
Solve
Higherorder
Multipantograph
Equations
Arising
in
Electrodynamics
The primary
aim of this
paper is to
develop a
numerical
method based
on Haar
wavelets for
solving
second and
higherorder
multipantograph
differential
equations.
This method
transforms
the
differential
equation
into a
system of
algebraic
equations
with
undetermined
coefficients.
These
algebraic
systems can
be solved
either by
Newton’s or
Broyden’s
iterative
methods.
Finally, few
test examples are
taken from
the
literature
to show the
computational
efficiency
of this
method. 

Afroz
Basharat Hussain
Abdullah
JJMS, 2022,
15(4A),
787805 
In
this
article,
we
aim
to
obtain
very
tight
exponential
bounds
for
the
hyperbolic
tangent
function.
Our
inequalities
refine
a
double
inequality
recently
proved
by
Zhang
and
Chen.
In
addition,
graphical
and
numerical
analysis
are
carried
out,
and
a
number
of
auxiliary
lemmas
may
be
of
use
on
their
own.


Yogesh J.
Bagul
Ramkrishna
M. Dhaigude
Christophe
Chesneau
Marko Kostić
JJMS,
2022,
15(4A),
807821

Screen Semi Slant Lightlike Submanifolds of Golden SemiRiemannian Manifolds
In this paper, we introduce the notion of screen semi slant lightlike submanifold of golden semiRiemannian manifolds and providing characterization theorem with some nontrivial examples of such submanifolds. We find necessary and sufficient conditions for integrability and totally geodesic foliation of distributions RadTM, D_{1} and D_{2}.


Akhilesh
Yadav
Sachin Kumar
JJMS, 2022,
15(4A),
823841

Characterization of Rank of a Matrix Over the Symmetrized MaxPlus Algebra
In this paper, we characterize the rank of a matrix over the symmetrized maxplus algebra. This characterization is based on linearly independence of columns or rows of the matrix in balance sense. We show that the rank of such a matrix can be determined using maximum number of rows or columns which are linearly independent in balance sense. This completes the discussion in [1] which only uses minors to determine rank of matrix.


Suroto
Diah Junia
Eksi Palupi
Ari
Suparwanto
JJMS, 2022,
15(4A),
843856

HyersUlamRassias Instability for Bernoulli's and Nonlinear Differential Equations
In this paper we have obtained integral sufficient conditions under which the zero solution of nonlinear differential equations of first order with zero initial condition is unstable in HyersUlamRassias sense. We also have proved the HyersUlamRassias instability of Bernoulli’s differential equation with zero initial condition. To illustrate the results we have given three examples.


Khaled M.
Hyasat
Maher Nazmi
Qarawani
JJMS, 2022,
15(4A),
857870

Generalizations of the Alexander integral operator for Analytic Multivalent Functions
Let T_{p,n} be a subclass of analytic multivalent functions of the form
f(z) = z^{p} + a_{p+n}z^{p+n} + a_{p+n+1}z^{p+n+1} + . . .
for every z in the open unit disc U. Applying the fractional calculus (fractional integral and fractional derivative), A^{−λ}_{p,n}f(z) and A^{λ}_{p,n}f(z) which are generalizations of the Alexander integral operator are introduced. The object of present paper is to discuss some interesting properties of A^{−λ}_{p,n}f(z) and A^{λ}_{p,n}f(z). Also, some simple examples of results for A^{−λ}_{p,n}f(z) and A^{λ}_{p,n}f(z) are shown. To give some simple
examples is very important for the research of mathematics.


H.
Özlem
Güney
Shigeyoshi
Owa
JJMS, 2022,
15(4A),
871894

Analytic
Properties
of the
ApostolVu
Multiple
Lucas
Lfunctions
In the
article we
study the
analytic
continuations
of the
ApostolVu
multiple
shifted
Lucas zeta
functions
and ApostolVu
multiple
Lucas
Lfunctions
associated
to Dirichlet
characters.
We also
compute a
complete
list of
exact
singularities
and residues
of these
functions at
poles.


Utkal
Keshari
Dutta
Prasanta
Kumar Ray
JJMS, 2022,
15(4A),
895909

KProduct
Cordial
Labeling of
Powers of
Paths
Let f be a
map from V
(G) to {0,
1, ..., k −
1}, where k
is an
integer and
1 ≤ k ≤ V
(G). For
each edge uv
assign the
label
f(u)f(v)(mod
k). f is
called a
kproduct
cordial
labeling if
v_{f
}(i) −
v_{f}
(j) ≤ 1,
and e_{f
}(i) −
e_{f}
(j) ≤ 1, i,
j
ϵ {0,
1, ..., k −
1}, where v_{f
}(x)
and e_{f
}(x)
denote the
number of
vertices and
edges,
respectively
labeled with
x (x = 0, 1,
..., k − 1).
In this
paper, we
add some new
results on
kproduct
cordial
labeling and
prove that
the graph P^{2}_{n}
is 4product
cordial.
Further, we
study the
kproduct
cordial
behaviour of
powers of
paths
P^{3}_{n},
P^{4}_{n}
and P^{5}_{n}
for k = 3
and 4.


K. Jeya
Daisy
R. Santrin
Sabibha
P. Jeyanthi
Maged Z.
Youssef
JJMS, 2022,
15(4A),
911924

Vague
Modules on
the Base of
([0, 1], ≤,
∧)
In this
paper, the
concepts of
vague
module,
vague
submodule,
vague module
homomorphism
and vague
module
isomorphism
based on the
Demirci’s
vague groups
are defined.
Then various
elementary
properties
of these
concepts are
obtained,
and the
validity of
some
relevant
classical
results in
these
settings are
investigated.


Sevda Sezer
Murat Yüksel
JJMS, 2022,
15(4A),
925939

Periodic
Oscillation
of the
Solutions
for a Model
of FourDisk
Dynamo
System with
Delays
In this
paper, the
periodic
oscillatory
behavior of
the
solutions
for a model
of fourdisk
dynamo
system with
delays is
investigated.
By means of
the
mathematical
analysis
method, some
sufficient
conditions
to guarantee
the periodic
oscillation
of the
solutions
are
obtained.
Computer
simulations
are provided
to
demonstrate
our results.


Chunhua Feng
JJMS, 2022,
15(4A),
941953

Class of
Analytic
Univalent
Functions
with Fixed
Finite
Negative
Coefficients
Defined by
qAnalogue
Difference
Operator
In this
paper using
a q−analogue
operator, we
define class
of univalent
functions
with fixed
finite
negative
coefficients
and
determine
coefficient
estimates
and other
properties
for this
class.
Various
results
obtained in
this paper
are shown to
be sharp.


Z. M. Saleh
A. O.
Mostafa
JJMS, 2022,
15(4A),
955965 
Further
Results on
I and
I*−Convergence
of Sequences
in Gradual
Normed
Linear
Spaces
In this
paper,
following a
very recent
and new
approach, we
introduce
the notion
of gradual
I−limit
point,
gradual
I−cluster
point, and
prove
certain
properties
of both the
notions. We
also
investigate
some new
properties
of gradual
I−Cauchy and
gradual I*−Cauchy
sequences
and show
that the
condition
(AP) plays a
crucial role
to relate
both the
notions.
Finally, we
investigate
the notion
of I and I*−divergence
of sequences
in gradual
normed
linear
spaces and
prove the
essence of
the
condition
(AP) again
to establish
the
relationship
between the
notions.


Chiranjib
Choudhury
Shyamal
Debnath
JJMS, 2022,
15(4A),
967982 
Existence
and
Uniqueness
of Weak
Solution for
Nonlinear
Weighted (p;
q)Laplacian
System with
Application
on an
Optimal
Control
Problem
In this
paper, we
prove the
existence
and
uniqueness
results of
weak
solution for
weighted (p,
q)Laplacian
system with
Dirichlet
boundary
condition.
The proof of
the results
is made by
Browder
theorem
method.
Also, the
optimal
control of
the weighted
(p, q)Laplacian
system will
be study as
an
application. 

Salah A.
Khafagy
Eada. A. ElZahrani
Hassan M. Serag
JJMS, 2022,
15(4A),
983998 
Volume
15, No.
4B,
December
2022

Nonlinear
Implicit
CaputoHadamard
Fractional
Differential
Equation
with
Fractional
Boundary
Conditions
In this
paper, we
establish
the
existence
and
uniqueness
of solutions
for
a class of
problem for
nonlinear
implicit
fractional
differential
equations of
CaputoHadamard
type with
fractional
boundary
conditions.
The results
are obtained
by using
Banach fixed
point
theorem and
Schauder’s
fixed point
theorem. An
example is
included to
show the
applicability
of our
results. 

Nedjemeddine
Derdar
JJMS, 2022,
15(4B),
9991014 
On Weakly Présimplifiable
Group Rings
A
commutative
ring R with
unity is
called
weaklyprésimplifiable
(resp.,
présimplifiable)
if for a, b
ϵ R with a =
ba, then
either a = 0
or b is a
regular
element
(that is, b
is not a
zerodivisor)
in R (resp.,
a = 0 or b
is a unit in
R). Let R be
a
commutative
ring with
unity and G
be a
nontrivial
abelian
group. In
this paper,
we give some
characterizations
for the
group ring
R[G] to be
weakly
présimplifiable.
Furthermore,
we give a
complete
description
of (weakly)
présimplifiable
circulant
matrix ring.


Omar A. AlMallah
M. AbuSaleem
Jebrel M.
Habeb
N. Jarboui
JJMS, 2022,
15(4B),
10151029 
Fractional
Ostrowski
Type
Inequalities
Via (s,
r)−Convex
Function
We are
introducing
very first
time a
generalized
class named
it the class
of (s,
r)−convex
functions in
mixed kind.
This
generalized
class
contains
many
subclasses
including
class of
s−convex
functions in
1^{st}
and 2^{nd}
kind,
P−convex
functions,
quasi convex
functions
and the
class of
ordinary
convex
functions.
Also, we
would like
to state the
generalization
of the
classical
Ostrowski
inequality
via
fractional
integrals,
which is
obtained for
functions
whose first
derivative
in absolute
values is
(s, r)−
convex
function in
mixed kind.
Moreover we
establish
some
Ostrowski
type
inequalities
via
fractional
integrals
and their
particular
cases for
the class of
functions
whose
absolute
values at
certain
powers of
derivatives
are (s,
r)−convex
functions in
mixed kind
by using
different
techniques
including
Hölder’s
inequality
and power
mean
inequality.
Also,
various
established
results
would be
captured as
special
cases.
Moreover,
some
applications
in terms of
special
means would
also be
given. 

Ali Hassan
Asif Raza
Khan
JJMS, 2022,
15(4B),
10311047 
Almost
Generalized
Quadratic
Functions of
Three
Variables in
Lipschitz
Spaces
The notion
of stability
of
functional
equations
was posed by
Ulam, and
then, Hyers
gave the
first
significant
partial
solution.
This type of
stability
has been
established
and
developed by
an
increasing
number of
mathematicians
in various
spaces. In
Lipschitz
spaces, the
notion of
stability
was
introduced
by Tabor and
Czerwik.
This notion
has been
considered
less
attention
over the
recent years
in Lipschitz
spaces. In
this paper,
we consider
this type of
stability
and we prove
the
stability of
the
generalized
quadratic
functional
equations of
three
variables in
Lipschitz
spaces. We
generalize
the
stability of
a quadratic
functional
equation
from a
special case
to a general
case and
improve its
approximation
announced by
Czerwik et
al. in [4]. 

Ismail
Nikoufar
JJMS, 2022,
15(4B),
10491063

Some
Properties
and Criteria
for
SubChaotic
C_{0}Semigroups
In this
paper, we
get a closer
view to
subchaotic
C0semigroups.
We show that
if a C_{0}semigroup
contains a
subspacechaotic
operator,
then it is
subchaotic.
We prove
that there
are
subchaotic
C_{0}semigroups
that contain
no
subspacechaotic
operator. We
also prove
that if φ is
a bounded
and
holomorphic
function on
the unit
disk, then
the
multiplication
C_{0}semigroup
generated by
φ can not be
subchaotic.
Moreover, we
state some
criteria for
a C_{0}semigroup
to be
subchaotic
based on the
properties
of the
operators
that made
the
semigroup. 

Mansooreh
Moosapoor
Ismail
Nikoufar
JJMS, 2022,
15(4B),
10651076

Proper Helix
of Order 6
And LC Helix
in
PseudoEuclidean
Space E^{8}_{4}
In this
paper, we
used the
result that
complex
hyperbolic
spaces CH^{2}
(−4c/3) with
holomorphic
sectional
curvature
−4c/3 are
isometrically
embedded in
E^{8}_{4}
. By
considering
a circle in
CH^{2}(−4c/3),
we prove
that the
image of the
circle by
isometric
embedding is
a proper
helix of
order 6 in E^{8}_{4}.
Moreover, we
define a
generalized
LC helix on
a
submanifold
of E^{8}_{4}.
Also, we
show that
the image of
a circle by
isometric
embedding
from complex
hyperbolic
plane CH^{2}(−4c/3)
to
pseudoEuclidean
space E^{8}_{4}
is a
generalized
LC helix on
some
submanifold
of E^{8}_{4} 

Buddhadev
Pal
Santosh
Kumar
JJMS, 2022,
15(4B),
10771092

Quasi
BiSlant
Submanifolds
of Nearly
Kaehler
Manifolds
We introduce
the notion
of quasi
bislant
submanifolds
of nearly
Kaehler
manifolds
and study
some of
thier
properties.
The
necessary
and
sufficient
conditions
for the
integrability
of
distributions,
involved in
the
definition
of quasi
bislant
submanifolds
of nearly
Kaehler
manifolds,
are
obtained. We
also
investigate
the
necessary
and
sufficient
conditions
for quasi
bislant
submanifolds
of nearly
Kaehler
manifolds to
be totally
geodesic,
and we study
the geometry
of
foliations.
Finally, we
construct
some
nontrivial
examples of
quasi
bislant
manifolds of
nearly
Kaehler
manifolds. 

Rajendra
Prasad
Shweta Singh
JJMS, 2022,
15(4B),
10931110

Generalized
Continuous
KWeaving
Frames
Motivated
with the
study of
discrete
weaving
frames by
Bemrose et
al. in 2015,
we study
generalized
continuous
Kweaving
frames in
Hilbert
spaces and
prove some
new basic
properties.
Also, we
prove a
sufficient
condition
for
generalized
continuous
Kframe to
be woven.
Further, we
prove that
generalized
continuous
Kweaving
frames
remain woven
under
invertible
operator.
Finally, we
give
PaleyWiener
type
perturbation
results for
generalized
continuous
Kweaving
frames. 

Shipra
Chander
Shekhar
Renu Chugh
JJMS, 2022,
15(4B),
11111126

Bernstein
Type
Inequalities
for
Composite
Polynomials
Establishing
the lower
and upper
bound
estimates
for the
maximum
modulus of
the
derivative
of
composition
of
polynomials
p(q(z)),
where q(z)
is a
polynomial
of degree m
is an
intriguing
problem in
geometric
theory of
polynomials.
In this
paper, the
maximum
modulus for
composite
polynomials
of Bernstein
type is
taken up
with
constraints
such as the
given
polynomial
does not
vanish in
the disc z
< k, where k
≥ 1 which in
particular
yields some
known
inequalities
of this type
as special
cases. In
addition,
the case
when all the
zeros of the
underlying
polynomial
lie in z ≤
k, where k ≤
1 is also
considered. 

Bashir Ahmad
Zargar
Shabir Ahmad
Malik
JJMS, 2022,
15(4B),
11271135

Estimation
of Matusita
Overlapping
Coefficient
p for Pair
Normal
Distributions
The Matusita
overlapping
coefficient
ρ is defined
as agreement
or
similarity
between two
or more
distributions.
The
parametric
normal
distribution
is one of
the most
important
statistical
distributions.
Under the
assumption
that the
data at hand
follow two
independent
normal
distributions,
this paper
suggests a
new
technique to
estimate the
Matusita
coefficient
ρ. In
contrast to
the studies
in the
literature,
the
suggested
technique
requires no
assumptions
on the
location and
scale
parameters
of the
normal
distributions.
The finite
properties
of the
resulting
estimators
are
investigated
and compared
with the
nonparametric
kernel
estimators
and with
some
existing
estimators
via
simulation
techniques.
The results
show that
the
performance
of the
proposed
estimators
is better
than the
kernel
estimators
for all
considered
cases. 

Omar M.
Eidous
Salam K.
Daradkeh
JJMS, 2022,
15(4B),
11371151

GEfilter
Expansions
in
GEalgebras
The notions
of GEfilter
expansion
and
ξprimary
GEfilter
are
introduced
and their
properties
are
investigated.
Different
ways to
create a
GEfilter
expansion
are
provided.
The notion
of good
GEfilter
expansion is
introduced
and its
properties
investigated.
The
conditions
for an image
and an
inverse
image of a
ξprimary
GEfilter of
a GEalgebra
to be a
ξprimary
GEfilter
are
provided.


Young Bae
Jun
Ravikumar
Bandaru
JJMS, 2022,
15(4B),
11531171

Stable and
Unstable
Manifolds of
the
TwoDimensional
PiecewiseLinear
Normal Form
Maps
The stable
and unstable
sets or
stable and
unstable
manifolds
give a
formal
mathematical
definition
to the
general
notions
embodied in
the idea of
an
attractor.
In this
paper, we
will
determine
the stable
and unstable
manifolds of
the normal
form of
twodimensional
piecewiselinear
maps in the
neighborhood
of a fixed
point at the
border using
stable
manifold
theorem,
this is an
important
result about
the
structure of
the set of
orbits
approaching
to a
hyperbolic
fixed point. 

Abdellah
Menasri
JJMS, 2022,
15(4B),
11731192







