

Latest
Issue
Volume
13, No.
3,
September
2020
Articles 


A Mini
Review of
Dimensional
Effects on
Asymptotic
Mean
Integrated
Squared
Error and
Efficiencies
of Selected
Beta Kernels
The
asymptotic
mean
integrated
squared
error (AMISE)
is one of
the popular
performance
measures in
density
estimation.
The
popularity
of the AMISE
in kernel
estimation
is because
of its
consideration
of
dimensions
while other
performance
measures are
dimensionless.
This error
criterion
comprises of
two
components
whose
contributions
are
determine by
the
bandwidth.
This paper
briefly
discusses
the effects
of dimension
on the
performances
and
efficiencies
of some
kernel
functions of
the beta
polynomial
family using
the
asymptotic
mean
integrated
squared
error. The
results of
the study
show that as
the power of
the kernel
function
increases,
the AMISE
increases
and with
decrease in
the
efficiency
as the power
and
dimensions
increases.
Also an
increase in
dimensions
resulted in
increase in
AMISE but
decreases
with
increase in
sample
sizes. 

I. U. Siloko
E. A. Siloko
O. Ikpotokin
JJMS,
2020, 13(3),
327340

In
this
paper,
we
study
the
existence
and
uniqueness
of
solutions
for
fractional
differential
equations
with
fractional
integral
and
Caputo
fractional
derivatives
in
boundary
conditions.
Our
analysis
relies
on
the
Banach
contraction
principle,
Schauder
fixed
point
theorem
and
Krasnoselskii’s
fixed
point
theorem.
Examples
are
provided
to
illustrate
the
main
results.


Choukri
Derbazi
Hadda
Hammouche
JJMS,
2020, 13(3),
341361

φ− Approximate Biprojective and (φ , Ψ)−Amenable Banach Algebras
We introduce and study the concept of ϕ−approximate biprojective and (ϕ, ψ)−amenable Banach algebra A, where ϕ is a continuous homomorphism on A and ψ ϵ ΦA. We show that if A is (ϕ, ψ)−amenable then there exists a bounded net (mα) in (A ⊗ˆ A) such that  mα · ϕ(a) − ψ ◦ ϕ(a) · mα  −→ 0 and ψ ◦ π(mα) · ϕ(a) −→ ϕ(a) for all a ϵ A.


Zahra
Ghorbani
Javad
Baradaran
JJMS,
2020, 13(3),
363377

Generalized Normal Subgroups
In this paper, we generalize the concept of normal subgroups to Ncnormal subgroups with respect to the variety of all nilpotent groups of class at most c, (c ≥ 1). We state some properties of Ncnormal subgroups. Also we determine N2normal subgroups and N3normal subgroups of Q4n, D2n, SD2n and Ncnormal subgroups of SL(2, F).


F. Mahmudi
A. Gholami
JJMS,
2020, 13(3),
379388

Fundamental Results on Systems of Fractional Differential Equations Involving CaputoFabrizio Fractional Derivative
In this paper, we analyze the solutions of a linear system of fractional
differential equations involving the CaputoFabrizio fractional derivative. We first transform the system to a equivalent system of integrodifferential equations with integer derivative. We then establish a uniqueness result for the system of fractional differential equations and present a necessary condition to guarantee the existence
of a solution. Moreover, if the solution exists, the unique solution of the fractional system is obtained explicitly and is given in a closed form. Two examples are presented to illustrate the validity of the obtained results.


Mohammed AlRefai
JJMS,
2020, 13(3),
389399

General Method to Generate Fuzzy Equivalence Relations in Matrix Form
In this paper, new method to generate fuzzy equivalence relations in matrix form is considered, it is not easy to check fuzzy relation in matrix form if it is equivalence relation or not, and if it is transitive or not transitive. We start building fuzzy equivalence relation in matrix forms 3 × 3 and 4 × 4 matrices, then by using mathematical induction we will build general method that generates fuzzy equivalence relations of the form n × n matrices.


M. A.
Shakhatreh
T. A.
Qawasmeh
JJMS,
2020, 13(3),
401420

Acceptance
Sampling
Plans Based
on Truncated
Life Tests
for the
MarshallOlkin
Inverse
Gamma
Distribution
An
acceptance
sampling
plans (AS)
for a
truncated
life test is
developed,
when the
lifetime
follows the
MarshallOlkin
Inverse
Gamma
distribution
(MOIG). The
minimum
sample size
necessary to
ensure the
specified
mean life is
obtained.
Additionally,
the
operating
characteristic
function
values of
the proposed
sampling
plans and
producer’s
risk are
provided.
Using the
proposed
model, some
tables are
given and
the results
are
illustrated
by numerical
examples.
Finally,
Numerical
examples for
our proposed
method are
illustrated
as well as a
real life
application
is
demonstrated.


Mohammad AlTalib
Mohammad Al
Kadiri
AbedelQader
AlMasri
JJMS,
2020, 13(3),
421438

Statistical
Inference
for the
Lomax
Distribution
under
Partially
Accelerated
Life Tests
with
Progressively
TypeII
Censoring
with
Binomial
Removal
In this
paper a
stepstress
Partially
Accelerated
Life Test (SSPALT)
is
obtained for
Lomax
distribution
under
progressive
Type II
censoring
with random
removals,
assuming
that the
number of
units
removed at
each failure
time has a
binomial
distribution.
The maximum
likelihood
estimators (MLEs)
are derived
using the
expectationmaximization
(EM)
algorithm.
The
Confidence
intervals
for the
model
parameters
are
constructed.
SSPALT plan
is used to
minimize the
Generalized
Asymptotic
Variance (GAV)
of the ML
estimators
of the model
parameters.
We explain
the
performance
of our
procedures
using a
simulation
study. 

Roshanak
Zaman
Parviz
Nasiri
Ali Shadrokh
JJMS,
2020, 13(3),
439458

A New
Iterative
Natural
Transform
Method for
Solving
Nonlinear
Caputo
TimeFractional
Partial
Differential
Equations
The main
purpose of
this paper
is to
present the
solutions of
a class of
nonlinear
Caputo
timefractional
partial
differential
equations,
in
particular
nonlinear
Caputo
timefractional
wavelike
equations
with
variable
coefficients
in terms of
MittagLeffler
functions by
using new
technique
called, new
iterative
natural
transform
method (NINTM).
This method
introduced
an efficient
tool for
solving
these class
of
equations.
Numerical
examples are
presented to
illustrate
the
efficiency
and accuracy
of the
proposed
method. The
results
obtained
show that
the method
described by
NINTM is a
very simple
and easy
method
compared to
the other
methods and
gives the
approximate
solution in
the form of
infinite
series, this
series in
closed form
gives the
corresponding
exact
solution of
the given
problem.


Ali Khalouta
Abdelouahab
Kadem
JJMS,
2020, 13(3),
459476







