

Latest
Issue
Volume
16, No.
4,
December
2023
A Novel
Fixed Point
Theorem of
ReichPerov
Type
α−Contractive
Mapping in
VectorValued
Metric
Spaces
This article
discusses a
novel
concept of
ReichPerov
type
αcontractive
mappings in
vectorvalued
metric
spaces.
First, we
define
ReichPerovtype
contractive
mappings
using a
novel
concept in
vectorvalued
metric
spaces.
Later, we
investigate
the
sufficient
conditions
for a ReichPerov
type
contractive
mapping to
have a
unique fixed
point in the
spaces. By
defining an
αcontractive
mapping, we
next show
the
sufficient
conditions
of the
existence
and
uniqueness
of a fixed
point of the
ReichPerov
type
αcontractive
mappings in
vectorvalued
metric
spaces.


Sunarsini
Mahmud Yunus
Subiono
JJMS, 2023,
16(4),
599616 
This
article
investigates
into
the
study
of
nonlinear
hybrid
fractional
boundary
value
problems,
which
involve
ϕCaputo
derivatives
of
fractional
order
and
twopoint
hybrid
boundary
conditions.
The
author
utilizes
a
fixed
point
theorem
of
Dhage
to
provide
evidence
for
the
existence
and
uniqueness
of
solutions,
taking
into
consideration
mixed
Lipschitz
and
Caratheodory
conditions.
Additionally,
the
UlamHyers
types
of
stability
are
established
in
this
context.
The
article
concludes
by
introducing
a
class
of
fractional
boundary
value
problems,
which
are
dependent
on
the
arbitrary
values
of ϕ
and
the
boundary
conditions
chosen.
The
research
presented
in
this
article
has
the
potential
to
be
useful
in
various
fields,
such
as
engineering
and
science,
where
fractional
differential
equations
are
frequently
used
to
model
complex
phenomena.


Yahia Awad
JJMS,
2023,
16(4),
617647

TwoDimensional Quaternionic Fractional Mellin Transform of a Particular Order
Author introduces twodimensional quaternionic fractional Mellin trans form defined for a particular order α, β of integrable functions on R^{2} and prove its inversion formula using the relation between fractional Fourier transform and fractional Mellin transform. Properties like linearity, Parseval’s formula and product theorem are obtained without any additional conditions. Applications of two dimensional quaternionic fractional Mellin transform are given to support the study.


Khinal
Parmar
V. R.
Lakshmi
Gorty
JJMS, 2023,
16(4),
649668



Dan Dumitru
JJMS, 2023, 16(4),
669680

New Notions of Rough Statistical Convergence of Triple Sequences in Gradual Normed Linear Spaces
In the present article, we introduce and investigate the concept of statistical convergence for triple sequences in gradual normed linear spaces. We prove some of its fundamental properties and a few implication relations. We then concentrate on rough statistical convergence for triple sequences in gradual normed linear spaces and established some of its features based............................


Ӧmer Kişi
Chiranjib
Choudhury
JJMS, 2023,
16(4),
681702

The CycleComplete Graph Ramsey Numbers
R(C_{n}, K_{8}), For 10 ≤ n ≤ 15
Given two graphs H_{1} and H_{2}, the Ramsey number R(H_{1}, H_{2}) is the smallest natural number n such that each graph of order n contains a copy of H_{1} or its complement contains a copy of H_{2}. In this paper, we find the exact Ramsey number R(C_{n}, K_{8}) for 10 ≤ n ≤ 15, where C_{n} is the cycle on n vertices and K_{8} is the complete graph of order 8.


A.
Baniabedalruhman
JJMS, 2023,
16(4),
703718

A New Cubic
Transmuted
Power
Function
Distribution:
Properties,
Inference
and
Application
A new cubic
transmuted
power
function
distribution
has been
proposed by
using the
cubic
transmuted
family of
distributions,
proposed by
[1]. The
proposed
distribution
provides
transmuted
power
function
distribution
as a special
case. The
properties
of the
proposed
distribution
are studied
that include
shape,
moments,
quantiles,
entropy,
random
number
generation
and order
statistics.
The maximum
likelihood
estimation
of the
parameters
of the
proposed
distribution
is
discussed. A
simulation
study has
been
conducted to
observe the
performance
of the
estimation
procedure.
The proposed
distribution
has been
applied to
real data
sets to
compare the
suitability
of the
model. 

Mariyam
Hafeez
Rashida
Khalil
Naila Amjad
JJMS, 2023,
16(4),
719739

Estimation
of
Overlapping
Measures
using
Numerical
Approximations:
Weibull
Distributions
This paper
deals with
the
estimation
problem of
the two
overlapping
(OVL)
measures,
namely;
Matusita ρ
and Morisita
λ measures
when two
independent
random
variables X
and Y follow
Weibull
distribution.
The two
measures ρ
and λ have
been studied
in the
literature
in the case
of two
Weibull
distributions
under the
assumption
that the two
shape
parameters
are equal.
In this
work, a new
general
expression
for each
measure is
provided
under the
Weibull
distribution
without
using any
assumptions
about the
distribution
parameters.
The
numerical
integration
methods
known as
trapezoidal,
Simpson 1/3
and Simpson
3/8 rules
that
facilitate
making
inference on
these
measures are
utilized.
The relative
bias (RB)
and relative
mean square
error (RMSE)
of the
resulting
proposed
estimators
were
investigated
and compared
with some
existing
estimators
via
MonteCarlo
simulation
technique.
The results
demonstrated
clearly the
superiority
of the
proposed
estimators
over the
existing one
in almost
all
considered
cases.


Omar M.
Eidous
Mervat M.
Abu AlHayja`a
JJMS, 2023,
16(4),
741761

Homotopy
Analysis
Method for
Solving the
Backward
Problem for
the
TimeFractional
Diffusion
Equation
This paper
deals with
the backward
problem of a
nonhomogeneous
timefractional
diffusion
equation,
that is, the
problem of
determining
the past
distribution
of the
substance
from present
measurements.
By the
separation
of variables
method,
exact
solutions of
the forward
and backward
problems are
obtained in
terms of
eigenfunctions
and
MittagLeffler
functions.
Contrary to
the forward
problem,
i.e.,
determining
the present
solution
from given
initial
data, the
backward
problem,
i.e., the
problem of
recovering
the initial
condition
from noisy
measurements
of the final
data, is
proved to be
illposed
and highly
unstable
with respect
to
perturbations
in the final
data, and
thus, some
regularization
technique is
required.
The novelty
of the
current work
stems from
utilizing
the homotopy
analysis
method as a
tool to
obtain a
regularization
scheme to
tackle the
instability
of the
backward
problem.
Stability
and
convergence
results of
the proposed
method are
proved, and
optimal
convergence
rates of the
regularized
solution are
given under
both a
priori and a
posteriori
parameter
choice
rules. The
resulted
algorithm is
very
efficient
and
computationally
inexpensive.
Numerical
examples are
presented to
illustrate
the validity
and accuracy
of the
proposed
homotopy
method. 

Mohammad F.
AlJamal
JJMS, 2023,
16(4),
763788

On
Hereditary,
Semihereditary
and
QuasiHereditary
Ternary
Rings
In this
paper, we
define right
hereditary,
semihereditary
and quasi
hereditary
ternary
rings, as
previously
introduced
in binary
rings. We
show that,
if a ternary
ring T
is
completely
reducible,
then every
right ideal
I of
T is
of the form
I =
e.1.T
, where e is
an
idempotent.
Consequently,
T is
a right
hereditary
ternary
ring. We
also prove
that, if a
reduced
ternary ring
T
satisfies
the minimal
condition on
right
annihilators
of
idempotents,
and if I
≠ 0
is a right
ideal
satisfying
the
condition:
(for every
right ideal
K ⊂ I, there
exists a
minimal
right ideal
H of
T
such that H
⊂ K), then
I is
projective
as a right
T
–module.
Finally, we
show that if
T is
a
semiprimary
ternary ring
in which the
Jacobson
radical =
{0}, then
T is a
right
hereditary
and
quasihereditary
ternary
ring. 

Mohamed
Kheir Ahmad
Safwan
Aouira
Rasha Alhaj
Esmaeel
Arabi
JJMS, 2023,
16(4),
789803

New Matrix
Interpolating
Inequalities
The main
goal of this
article is
to present
new
generalizations
and new
forms of
some well
known matrix
inequalities.
These
inequalities
can be
thought of
as
interpolating
inequalities
between the
arithmeticgeometric
mean
inequality
and
CauchySchwarz
inequalities,
generalizing
some recent
results in
this
direction. 

M. Alakhrass
M. Sababheh
JJMS, 2023,
16(4),
805815 






