2019
5
1
1
0
On a Classification of Almost $alpha $Cosymplectic Manifolds
2
2
The object of the present paper is to study almost $alpha $cosymplectic manifolds. We consider projectively flat, conformally flat, and concircularly flat almost $alpha $cosymplectic manifolds (with the $eta $parallel tensor field $phi h$) and get some new properties. We conclude the paper by giving an example of $alpha $Kenmotsu manifold, which verifies our results.
1

1
10


İrem
Erken
Faculty of Engineering and Natural Sciences, Department of Mathematics,
Bursa Technical University, Bursa, Turkey.
Faculty of Engineering and Natural Sciences,
Turkey
irem.erken@btu.edu.tr
Almost αCosymplectic manifold
projectively flat
conformally flat
concircularly flat
Exponential Stability Analysis for DelayDifferential Systems of Neutral Type with an LMI Approach
2
2
In this paper for neutral delay differential systems, the problem of determining the exponential stability is investigated. Based on the Lyapunov method, we present some useful criteria of exponential stability for the derived systems. The stability criterion is formulated in terms of linear matrix inequality (LMI),which can be easily solved by using the MATLAB LMI toolbox. Numerical examples are included to illustrate the proposed method.
1

11
20


Veerakyathaiah
Umesha
Department of Mathematics, Dayananda sagar college of Engineering, Kumaraswamy layout, Bangalore, Karnataka, India.
Department of Mathematics, Dayananda sagar
India
vumeshakumar@gmail.com


Spirangaiah
Padmanabhan
Department of Mathematics, R N S I T, UttarahalliKengeri Road, Bangalore, Karnataka, India.
Department of Mathematics, R N S I T, Uttarahalli
India
padmanabhanrnsit@gmail.com


P.
Baskar
Department of Mathematics, New Horizon college of Engineering, Bangalore, Karnataka, India.
Department of Mathematics, New Horizon college
India
pbaskar83@yahoo.com


Muhammad
Syed Ali
Department of Pure Mathematics, Thiruvalluvar University, Vellore 632
115, Tamilnadu, India.
Department of Pure Mathematics, Thiruvalluvar
India
syedgru@gmail.com
Neutral system
exponential stability
Lyapunov method
linear matrix inequality (LMI)
The Approximate Solutions of Fractional IntegroDifferential Equations by Using Modified Adomian Decomposition Method
2
2
The main object of the present paper is to study the behavior of the approximated solutions of the Caputo fractional VolterraFredholm integrodifferential equations by using modified Adomian decomposition method. Moreover, we discuss some new existence, uniqueness, and convergence results. Finally, an example is included to demonstrate the validity and applicability of the proposed technique.
1

21
39


Ahmed
Hamoud
Department of Mathematics Faculty of Education and Science, Taiz University, Taiz, Yemen.
Department of Mathematics Faculty of Education
Yemen
drahmed985@yahoo.com


Kirtiwant
Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad 431004, India.
Department of Mathematics, Dr. Babasaheb
India
drkp.ghadle@gmail.com


Shakir
Atshan
Department of Mathematics, Thi Qar Directorates of Education, Ministry of Education, Iraq.
Department of Mathematics, Thi Qar Directorates
Iraq
s11h32@yahoo.com
Modified Adomian decomposition method
Caputo fractional derivative
fractional VolterraFredholm integrodifferential equation
approximate solution
Dynamic Response of an Elastically Connected Double NonMindlin Plates with SimplySupported End Condition due to Moving Load
2
2
In this paper, the dynamic response of two identical parallel nonmindlin (i.e., not taking into account the effect of shear deformation and rotatory inertia) plates which are elastically connected and subjected to a constant moving load is considered. The fourth order coupled partial differential governing equations is formulated and solved, using an approximate analytical method by assuming; firstly, a series solution later on treating the resulting coupled second order ordinary differential equations with an asymptotic method of Struble. The differential transform method, being a semianalytical technique, is applied to the reduced coupled second order ordinary differential equations, to get a nonoscillatory series solution. An after treatment technique, comprising of the Laplace transform and Pade approximation techniques, is finally used via MAPLE ODE solver to make the series solution oscillatory. The dynamic deflections of the upper and lower plates are presented in analytical closed forms. The effect of the moving speed of the load and the elasticity of the elastic layer on the dynamic responses of the double plate systems is graphically shown and studied in details. The graphs of the plate's deflections for different speed parameters were plotted. It is however observed that the transverse deflections of each of the plates increase with an increase in different values of velocities for the moving load for a fixed time $t$.
1

40
59


Jacob
Gbadeyan
Department of Mathematics, University of Ilorin, Ilorin, KwaraState, Nigeria.
Department of Mathematics, University of
Nigeria
jagbadeyan@gmail.com


Oluwatayo
Ogunmiloro
Department of Mathematics, Ekiti  State University(EKSU), AdoEkiti, Ekiti  State, Nigeria.
Department of Mathematics, Ekiti  State
Nigeria
oluwatayo.ogunmiloro@eksu.edu.ng


Sunday
Fadugba
Department of Mathematics, Ekiti  State University(EKSU), AdoEkiti, Ekiti  State, Nigeria.
Department of Mathematics, Ekiti  State
Nigeria
classbillboard.fadugba@gmail.com
Moving load
nonmindlin
simplysupported
Struble's method
On TExtensions of Abelian Groups
2
2
Let $Re$ be the category of all discrete abelian groups, and let $cal{L}$ be the category of all locally compact abelian (LCA) groups. For a group $Gin cal{L}$, the maximal torsion subgroup of $G$ is denoted by $tG$. A short exact sequence $0to Astackrel{phi}{to} Bstackrel{psi}{to}Cto 0$ in $Re$ is said to be a textension if $0to tAstackrel{phi}{to} tBstackrel{psi}{to}tCto 0$ is a short exact sequence. We show that the set of all textensions of $A$ by $C$ is a subgroup of $Ext(C,A)$, which contains $Pext(C,A)$ for discrete abelian groups $A$ and $C$. We establish conditions under which the textensions split and determine those groups in $Re$ which are tinjective or tprojective in $Re$. Finally we determine the compact groups $G$ in $cal{L}$ such that every pure extension of $G$ by a compact connected group $Cin cal{L}$ splits.
1

60
68


Aliakbar
Alijani
Mollasadra Technical and Vocational College, Technical and Vocational University, Ramsar, Iran.
Mollasadra Technical and Vocational College,
Iran
alijanialiakbar@gmail.com


Hossein
Sahleh
Department of Mathematics, University of Guilan, P. O. Box 1914, Rasht, Iran.
Department of Mathematics, University of
Iran
sahleh@guilan.ac.ir
Textensions
extensions
pure extensions
locally compact abelian groups
On Randers Change of Generalized $m$th Root Metric
2
2
In the present paper, we find a condition under which a Finsler space with Randers change of generalized $m$th root metric is projectively related to an $m$th root metric. Then we find a condition under which Randers change of generalized $m$th root Finsler metric is locally projectively flat and also find a condition for locally dually flatness.
1

69
78


Manoj
Kumar
DSTCentre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi221005, India.
DSTCentre for Interdisciplinary Mathematical
India
mkvermabhu@gmail.com
Finsler space
Randers change of generalized $m$th root metrics
projectively related metrics
locally projectively flat metric
locally dually flat metric
RuscheweyhType Harmonic Functions Defined By $q$ Differential Operators
2
2
A class of Ruscheweyhtype harmonic functions is defined, using $q$differential operators and sufficient coefficient conditions for this class is determined. We then consider a subclass of the aforementioned class consisting of functions with real coefficients and obtain necessary and sufficient coefficient bounds, distortion theorem, extreme points, and convex combination conditions for such class. It is shown that the classes of functions considered in this paper contain various wellknown as well as new classes of harmonic functions.
1

79
88


Gangadharan
Murugusundaramoorthy
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore  632014, India.
Department of Mathematics, School of Advanced
India
gmsmoorthy@yahoo.com


Jay
Jahangiri
Mathematical Sciences, Kent State University, Kent, Ohio, U.S.A.
Mathematical Sciences, Kent State University,
United States
jjahangi@kent.edu
Univalent
harmonic starlike
$q$ differential operators
Almost conformal Ricci solitons on $f$Kenmotsu Manifolds
2
2
The object of the present paper is to study the $phi $Ricci symmetric, locally $phi $Ricci symmetric and cyclic Ricci parallel threedimensional $f$Kenmotsu manifold bearing the function $f$ being constant. We have considered almost conformal Ricci soliton on the threedimensional $f$Kenmostu manifold and deduced the condition for an almost conformal Ricci soliton, which becomes conformal Ricci soliton. Finally, examples on threedimensional $f$Kenmotsu manifold depending on nature of $f$ are constructed to illustrate the results.
1

89
104


Shyamal
Hui
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.
Department of Mathematics, The University
India
skhui@math.buruniv.ac.in


Sunil
Yadav
Department of Mathematics, Poornima College of Engineering, ISI6, RIICO
Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.
Department of Mathematics, Poornima College
India
prof_sky16@yahoo.com


Akshoy
Patra
Department of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.
Department of Mathematics, Govt. College
India
akshoyp@gmail.com
$f$Kenmotsu manifold
almost conformal Ricci soliton
$phi $symmetric
cyclic Ricci parallel
torqued vector field
On The Stability of The QuasiLinear Implicit Equations in Hilbert Spaces
2
2
We use the generalized theorem of Liapounov to obtain some necessary and sufficient conditions for the stability of the stationary implicit equation $$Ax'(t)=Bx(t) ,quad tgeq 0 ,$$ where $A$ and $B$ are bounded operators in Hilbert spaces. The achieved results can be applied to the stability for the quasilinear implicit equation $$Ax'(t)=Bx(t)+theta(t,x(t)),quad tgeq 0 .$$
1

105
112


Mehdi
Benabdallah
Department of Mathematics, Faculty of Math and Computer, USTOran,
31000, Algeria
Department of Mathematics, Faculty of Math
Algeria
mehdibufarid@yahoo.fr


Mohamed
Hariri
Department of Mathematics, University of Djillali Liabes, Sidi BelAbbes,
22000, Algeria.
Department of Mathematics, University of
Algeria
haririmohamed22@yahoo.fr
exponential stability
operator theory
implicit equations
On Approximation by $(p,q)$MeyerKönigZeller Durrmeyer Operators
2
2
In this paper, we introduce a Durrmeyer type modification of MeyerKönigZeller operators based on $(p,q)$integers. The rate of convergence of these operators is explored with the help of Korovkin type theorems. We establish some direct results for proposed operators. We also obtain statistical approximation properties of operators. In the last section, we show the rate of convergence of $(p,q)$MeyerKönigZeller Durrmeyer operators for some functions by means of MATLAB programming.
1

113
124


Honey
Sharma
Department of Mathematics, Gulzar Group of Institutes, Punjab, India.
Department of Mathematics, Gulzar Group of
India
pro.sharma.h@gmail.com


Cheena
Gupta
I K G Punjab Technical University, Punjab, India.
I K G Punjab Technical University, Punjab,
India
guptacheena21@gmail.com


Ramapati
Maurya
I K G Punjab Technical University, Punjab, India;
Department of Mathematics, Manav Rachna University, Haryana, India.
I K G Punjab Technical University, Punjab,
India
ramapatimaurya@gmail.com
$(p, q)$Calculus, $(p, q)$MeyerKönigZeller operator
Modulus of continuity
Peetre $K$functional
statistical convergence
On Two Generation Methods for The Simple Linear Group $PSL(3,5)$
2
2
A finite group $G$ is said to be $(l,m, n)$generated, if it is a quotient group of the triangle group $T(l,m, n) = left<x,y, zx^{l} = y^{m} = z^{n} = xyz = 1right>.$ In [Nova J. Algebra and Geometry, 2 (1993), no. 3, 277285], Moori posed the question of finding all the $(p,q,r)$ triples, where $p, q,$ and $r$ are prime numbers, such that a nonabelian finite simple group $G$ is $(p,q,r)$generated. Also for a finite simple group $G$ and a conjugacy class $X$ of $G,$ the rank of $X$ in $G$ is defined to be the minimal number of elements of $X$ generating $G.$ In this paper, we investigate these two generational problems for the group $PSL(3,5),$ where we will determine the $(p,q,r)$generations and the ranks of the classes of $PSL(3,5).$ We approach these kind of generations using the structure constant method. GAP [The GAP Group, GAPGroups, Algorithms, and Programming, Version 4.9.3; 2018. (http://www.gapsystem.org)] is used in our computations.
1

125
139


Ayoub
Basheer
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
School of Mathematical and Computer Sciences,
South Africa
ayoubbasheer@gmail.com


Thekiso
Seretlo
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
School of Mathematical and Computer Sciences,
South Africa
thekiso.seretlo@ul.ac.za
Conjugacy classes
$(p, q, r)$generation
rank
structure constant
Coefficients of BiUnivalent Functions Involving PseudoStarlikeness Associated with Chebyshev Polynomials
2
2
In the present paper, a new subclass of analytic and biunivalent functions by means of pseudo starlike function, activation function and Chebyshev polynomials are introduced. Coefficient bounds for functions belonging to the said subclass are obtained. Relevance connection of our class to second Hankel determinants is established.
1

140
149


Ibrahim
Awolere
Department of Mathematics, Emmanuel Alayande College of Education, P.
M. B. 1010, Oyo, Oyo State, Nigeria.
Department of Mathematics, Emmanuel Alayande
Nigeria
awolereibrahim01@gmail.com


Abiodun
Oladipo
Department of Pure and Applied Mathematics, Ladoke Akintola University
of Tecchnology, Ogbomoso, Oyo State, Nigeria.
Department of Pure and Applied Mathematics,
Nigeria
atoladipo@lautech.edu.ng
univalent functions
Chebyshev polynomials
pseudo starlike function
Hankel determinant