Latest
Issue
Volume
14, No.
2,
June 2021
Articles 


A New Type
of Fuzzy
Covering
Property for
Fuzzy
Topological
Spaces
In this
paper, we
introduce
and study a
new type of
fuzzy Sclosedness
in a fuzzy
topological
space with
respect to
certain
fuzzy grill
G and
through some
specific
αshading (0
< α < 1),
named as
fuzzy G^{S}_{α}
closedness.
The work
done in this
paper
aspires to
get, in a
new
perspective,
certain
analogues of
the results
and
conceptsusually
encountered
in
connection
with the
study of Sclosedness
in
topological
and fuzzy
topological
spaces.


Sumita Das (Basu)
M. N. Mukherjee
Prakash Mukherjee
JJMS,
2021, 14(2),
197220

Let
R be
a
commutative
ring
with
unity.
The
total
graph
of
R, T
(Γ(R)),
is
the
simple
graph
with
vertex
set
R
and
two
distinct
vertices
x
and
y
are
adjacent
if x
+ y
ϵ
Z(R),
where
Z(R)
is
the
set
of
all
zero
divisors
of
R.
This
paper
presents
a
study
of
some
local
properties
of
the
graph
T (Γ(Zn)).
We
answer
the
question
“
when
is T
(Γ(Zn))
locally
connected?”.
We
also
prove
that
the
neighborhoods
of
any
two
distinct
vertices
in T
(Γ(Zn))
induce
isomorphic
graphs
if
and
only
if n
is
even.


Khalida
Nazzal
Manal Ghanem
JJMS,
2021, 14(2),
221230



Ahmad
Mohammadhasani
JJMS,
2021, 14(2),
231242

On Conductor Ideals of Quadratic Orders
In this paper we study the orders in quadratic number fields. We give a complete description of conductor ideals of certain orders in quadratic number fields and investigate some of their important arithmetic properties.


Shehzadi
Almas
Shafiq Ur
Rehman
Sidra Younus
JJMS,
2021, 14(2),
243252

On a Measurable Solution of a Class of higherorder Stochastic Heattype Equation
We give a generalized measurable–predictable solution to a higher–order stochastic parabolic initial–value problem in terms of the further generalized Hermite polynomials. Condition and estimates on the existence and uniqueness of the solution are given. We prove the upper second moment growth bound estimate for the solution and consequently show that the second moment of the solution grows exponentially in time with respect to the parameter λ at the precise rate of 2 + c_{3}λ^{2}Lip^{2}_{σ} , c_{3} > 0 and ; c_{3}Lip^{2}_{σ} as the noise level increases.


McSylvester
Ejighikeme
Omaba
JJMS,
2021, 14(2),
253266

Group S3 Cordial Remainder Labeling for Wheel and Snake Related Graphs
The concept of group S_{3} cordial remainder labeling was recently introduced by Lourdusamy, Jenifer Wency and Patrick in [5]. In this paper, we prove that helm, flower, closed helm, gear, sunflower, triangular snake and quadrilateral snake are a group S3 cordial remainder graphs.


A.
Lourdusamy
S. Jenifer
Wency
F. Patrick
JJMS,
2021, 14(2),
267286

Coefficient
Estimate for
Class of
Meromorphic
BiBazilevic
Type
Functions
Associated
with Linear
Operator
Defined by
Convolution
In the
present
paper, we
propose to
investigate
a new
subclass
Σ^{⁎,p,q}_{M}
(h, µ, λ, k,
γ) of
meromorphic
functions
associated
with linear
operator
defined by
means of
convolution
in the
exterior of
the unit
disk ∇ := {z
ϵ
C : 1 < z
< ∞}.
We study the
behaviour of
initial
coefficients
b_{0},
b_{1}
and b_{2}
for the
function in
this newly
constructed
class. Some
interesting
remarks of
the results
presented
here are
discussed.
Our results
generalize
and improve
some of the
previously
known
results of
other
researchers.


A. Naik
T. Panigrahi
G.
Murugusundaramoorthy
JJMS,
2021, 14(2),
287305

A New
Approach for
Solving
Partial
Differential
Equations
Based on
FiniteDifference
and Haar
Wavelet
Methods
The main
objective of
this paper
is to
develop a
new scheme
based on
finitedifference
and Haar
wavelet for
second order
diffusion
equation and
third order
dispersive
equation.
Further, we
have carried
out the
stability of
the Haar
wavelet. We
solved four
problems
consisting
linear
diffusion
equation and
dispersive
homogeneous
and non
homogeneous
equation to
validate the
developed
scheme.
We have also
compared our
results with
existing
methods such
as finite
difference
method,
global
extrapolation
method and
non
polynomial
spline
method.


Akmal Raza
Arshad Khan
Khalil Ahmad
JJMS,
2021, 14(2),
307334

Some
3Divisor
Cordial
Graphs
Derived from
Path
Let G be a
(p, q) graph
and 2 ≤ k ≤
p. Let f : V
(G) → {1, 2,
. . . , k}
be a map.
For each
edge xy,
assign the
label 1 if
either f(x)
or f(y)
divides the
other and 0
otherwise. f
is called a
kdivisor
cordial
labeling if
vf (i) − vf
(j) ≤ 1
i, j
ϵ
{1, 2, ...,
k} and ef
(0) − ef
(1) ≤ 1
where vf (x)
denotes the
number of
vertices
labeled with
x, where x
ϵ
{1, 2, . . .
, k}, ef (i)
denote the
number of
edges
labeled with
i, i
ϵ
{0, 1}. A
graph with a
kdivisor
cordial
labeling is
called a
kdivisor
cordial
graph. In
this paper,
we obtain
3divisor
cordial
graphs
derived from
path.


S. Sathish
Narayanan
M.
Vijayaragavan
JJMS,
2021, 14(2),
335350

Multilinear
Strongly
Singular
CalderónZygmund
Operators
and
Commutators
on Morrey
Type Spaces
In this
paper, the
authors
establish
the
boundedness
of
multilinear
strongly
singular
CalderonZygmund
operators
and their
multilinear
commutators
with BMO
functions or
Lipschitz
functions on
the product
of
generalized
Morrey
spaces and
weighted
Morrey
spaces,
respectively.
Moreover,
the
boundedness
of the
multilinear
iterated
commutators
generated by
the
multilinear
strongly
singular
CalderonZygmund
operators
and BMO
functions on
the product
of
generalized
Morrey
spaces and
weighted
Morrey
spaces is
also
obtained,
respectively. 

Yan Lin
Huihui Yan
JJMS,
2021, 14(2),
351375

Perturbations
and New
Characterizations
of Woven
PFrames
In this
paper, we
prove
several
functionalanalytic
properties
of weaving
pframes. We
first prove
that Banach
woven
pframes are
stable under
small
perturbations.
This is
inspired by
corresponding
classical
perturbation
results for
bases. We
introduce
new and
weaker
conditions
that ensure
the desired
stability.
We then
present
several
approaches
for
identifying
and
constructing
of woven
pframes. To
this end, we
present some
conditions
under which
a pframe
and a finite
family of
operators
constitute a
woven
pframe. 

Mohammad
Sadegh
Asgari
Somayeh
Hashemi
Sanati
JJMS,
2021, 14(2),
377395

