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Latest Issue

Volume 14, No. 2, June 2021




A New Type of Fuzzy Covering Property for Fuzzy Topological Spaces

In this paper, we introduce and study a new type of fuzzy S-closedness
in a fuzzy topological space with respect to certain fuzzy grill G and through some specific α-shading (0 < α < 1), named as fuzzy GSα -closedness. The work done in this paper aspires to get, in a new perspective, certain analogues of the results and concepts-usually encountered in connection with the study of S-closedness in topological and fuzzy topological spaces.


Sumita Das (Basu)
M. N. Mukherjee
Prakash Mukherjee



JJMS, 2021, 14(2), 197-220


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), 221-230


Local Linear Preservers of Matrix Majorizations

In this paper, we characterize the local linear preservers of right (resp.
left) matrix majorization on Rn (resp. Rn).


Ahmad Mohammadhasani


JJMS, 2021, 14(2), 231-242

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), 243-252


On a Measurable Solution of a Class of higher-order Stochastic Heat-type 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 + c3λ2Lip2σ , c3 > 0 and ; c3Lip2σ as the noise level increases.


McSylvester Ejighikeme Omaba



JJMS, 2021, 14(2), 253-266


Group S3 Cordial Remainder Labeling for Wheel and Snake Related Graphs

The concept of group S3 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), 267-286


Coefficient Estimate for Class of Meromorphic Bi-Bazilevic Type Functions Associated with Linear Operator Defined by Convolution

In the present paper, we propose to investigate a new subclass
Σ,p,qM (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 b0, b1 and b2 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), 287-305



A New Approach for Solving Partial Differential Equations Based on Finite-Difference and Haar Wavelet Methods

The main objective of this paper is to develop a new scheme based on finite-difference 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), 307-334



Some 3-Divisor 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 k-divisor 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 k-divisor cordial labeling is called a k-divisor cordial graph. In this paper, we obtain 3-divisor cordial graphs derived from path.



S. Sathish Narayanan
M. Vijayaragavan



JJMS, 2021, 14(2), 335-350



Multilinear Strongly Singular Calderón-Zygmund Operators and Commutators on Morrey Type Spaces

In this paper, the authors establish the boundedness of multilinear strongly singular Calderon-Zygmund 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 Calderon-Zygmund 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), 351-375


Perturbations and New Characterizations of Woven P-Frames

In this paper, we prove several functional-analytic properties of weaving p-frames. We first prove that Banach woven p-frames 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 p-frames. To this end, we present some conditions under which a p-frame and a finite family of operators constitute a woven p-frame.


Mohammad Sadegh Asgari
Somayeh Hashemi Sanati



JJMS, 2021, 14(2), 377-395