ORIGINAL_ARTICLE
On a Classification of Almost $\alpha $-Cosymplectic Manifolds
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.
http://www.kjm-math.org/article_67030_b36cd9107ed71f514da1f1c232d7e881.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
1
10
10.22034/kjm.2018.67030
Almost α-Cosymplectic manifold
projectively flat
conformally flat
concircularly flat
İrem
Erken
irem.erken@btu.edu.tr
true
1
Faculty of Engineering and Natural Sciences, Department of Mathematics,
Bursa Technical University, Bursa, Turkey.
Faculty of Engineering and Natural Sciences, Department of Mathematics,
Bursa Technical University, Bursa, Turkey.
Faculty of Engineering and Natural Sciences, Department of Mathematics,
Bursa Technical University, Bursa, Turkey.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach
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.
http://www.kjm-math.org/article_73499_aafcf9d48fb015be832da281da3efe11.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
11
20
10.22034/kjm.2018.73499
Neutral system
exponential stability
Lyapunov method
linear matrix inequality (LMI)
Veerakyathaiah
Umesha
vumeshakumar@gmail.com
true
1
Department of Mathematics, Dayananda sagar college of Engineering, Kumaraswamy layout, Bangalore, Karnataka, India.
Department of Mathematics, Dayananda sagar college of Engineering, Kumaraswamy layout, Bangalore, Karnataka, India.
Department of Mathematics, Dayananda sagar college of Engineering, Kumaraswamy layout, Bangalore, Karnataka, India.
LEAD_AUTHOR
Spirangaiah
Padmanabhan
padmanabhanrnsit@gmail.com
true
2
Department of Mathematics, R N S I T, Uttarahalli-Kengeri Road, Bangalore, Karnataka, India.
Department of Mathematics, R N S I T, Uttarahalli-Kengeri Road, Bangalore, Karnataka, India.
Department of Mathematics, R N S I T, Uttarahalli-Kengeri Road, Bangalore, Karnataka, India.
AUTHOR
P.
Baskar
pbaskar83@yahoo.com
true
3
Department of Mathematics, New Horizon college of Engineering, Bangalore, Karnataka, India.
Department of Mathematics, New Horizon college of Engineering, Bangalore, Karnataka, India.
Department of Mathematics, New Horizon college of Engineering, Bangalore, Karnataka, India.
AUTHOR
Muhammad
Syed Ali
syedgru@gmail.com
true
4
Department of Pure Mathematics, Thiruvalluvar University, Vellore 632-
115, Tamilnadu, India.
Department of Pure Mathematics, Thiruvalluvar University, Vellore 632-
115, Tamilnadu, India.
Department of Pure Mathematics, Thiruvalluvar University, Vellore 632-
115, Tamilnadu, India.
AUTHOR
ORIGINAL_ARTICLE
The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method
The main object of the present paper is to study the behavior of the approximated solutions of the Caputo fractional Volterra-Fredholm integro-differential 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.
http://www.kjm-math.org/article_73593_6dc1e8da8bef248712e90632993e6c0c.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
21
39
10.22034/kjm.2018.73593
Modified Adomian decomposition method
Caputo fractional derivative
fractional Volterra--Fredholm integro-differential equation
approximate solution
Ahmed
Hamoud
drahmed985@yahoo.com
true
1
Department of Mathematics Faculty of Education and Science, Taiz University, Taiz, Yemen.
Department of Mathematics Faculty of Education and Science, Taiz University, Taiz, Yemen.
Department of Mathematics Faculty of Education and Science, Taiz University, Taiz, Yemen.
LEAD_AUTHOR
Kirtiwant
Ghadle
drkp.ghadle@gmail.com
true
2
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad 431-004, India.
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad 431-004, India.
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad 431-004, India.
AUTHOR
Shakir
Atshan
s11h32@yahoo.com
true
3
Department of Mathematics, Thi Qar Directorates of Education, Ministry of Education, Iraq.
Department of Mathematics, Thi Qar Directorates of Education, Ministry of Education, Iraq.
Department of Mathematics, Thi Qar Directorates of Education, Ministry of Education, Iraq.
AUTHOR
ORIGINAL_ARTICLE
Dynamic Response of an Elastically Connected Double Non-Mindlin Plates with Simply-Supported End Condition due to Moving Load
In this paper, the dynamic response of two identical parallel non-mindlin (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 semi-analytical technique, is applied to the reduced coupled second order ordinary differential equations, to get a non-oscillatory 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 $t$.
http://www.kjm-math.org/article_73854_83d31b7b005db96ff9db98c737010e46.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
40
59
10.22034/kjm.2018.73854
Moving load
non-mindlin
simply-supported
Struble's method
Jacob
Gbadeyan
jagbadeyan@gmail.com
true
1
Department of Mathematics, University of Ilorin, Ilorin, Kwara-State, Nigeria.
Department of Mathematics, University of Ilorin, Ilorin, Kwara-State, Nigeria.
Department of Mathematics, University of Ilorin, Ilorin, Kwara-State, Nigeria.
AUTHOR
Oluwatayo
Ogunmiloro
oluwatayo.ogunmiloro@eksu.edu.ng
true
2
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
LEAD_AUTHOR
Sunday
Fadugba
classbillboard.fadugba@gmail.com
true
3
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
AUTHOR
ORIGINAL_ARTICLE
On T-Extensions of Abelian Groups
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 $G\in \cal{L}$, the maximal torsion subgroup of $G$ is denoted by $tG$. A short exact sequence $0\to A\stackrel{\phi}{\to} B\stackrel{\psi}{\to}C\to 0$ in $\Re$ is said to be a t-extension if $0\to tA\stackrel{\phi}{\to} tB\stackrel{\psi}{\to}tC\to 0$ is a short exact sequence. We show that the set of all t-extensions 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 t-extensions split and determine those groups in $\Re$ which are t-injective or t-projective in $\Re$. Finally we determine the compact groups $G$ in $\cal{L}$ such that every pure extension of $G$ by a compact connected group $C\in \cal{L}$ splits.
http://www.kjm-math.org/article_74220_a9f5d5879c28658ed606d177fed55aa0.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
60
68
10.22034/kjm.2018.74220
T-extensions
extensions
pure extensions
locally compact abelian groups
Aliakbar
Alijani
alijanialiakbar@gmail.com
true
1
Mollasadra Technical and Vocational College, Technical and Vocational University, Ramsar, Iran.
Mollasadra Technical and Vocational College, Technical and Vocational University, Ramsar, Iran.
Mollasadra Technical and Vocational College, Technical and Vocational University, Ramsar, Iran.
LEAD_AUTHOR
Hossein
Sahleh
sahleh@guilan.ac.ir
true
2
Department of Mathematics, University of Guilan, P. O. Box 1914, Rasht, Iran.
Department of Mathematics, University of Guilan, P. O. Box 1914, Rasht, Iran.
Department of Mathematics, University of Guilan, P. O. Box 1914, Rasht, Iran.
AUTHOR
ORIGINAL_ARTICLE
On Randers Change of Generalized $m$th Root Metric
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.
http://www.kjm-math.org/article_75278_d06809e915d950b5df2806938c6d5b6f.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
69
78
10.22034/kjm.2018.75278
Finsler space
Randers change of generalized $m$th root metrics
projectively related metrics
locally projectively flat metric
locally dually flat metric
Manoj
Kumar
mkvermabhu@gmail.com
true
1
DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi-221005, India.
DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi-221005, India.
DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi-221005, India.
LEAD_AUTHOR
ORIGINAL_ARTICLE
Ruscheweyh-Type Harmonic Functions Defined By $q$- Differential Operators
A class of Ruscheweyh-type 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 well-known as well as new classes of harmonic functions.
http://www.kjm-math.org/article_81212_6cf18940b12156412dcfac780d5c4d20.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
79
88
10.22034/kjm.2019.81212
Univalent
harmonic starlike
$q$- differential operators
Gangadharan
Murugusundaramoorthy
gmsmoorthy@yahoo.com
true
1
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India.
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India.
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India.
LEAD_AUTHOR
Jay
Jahangiri
jjahangi@kent.edu
true
2
Mathematical Sciences, Kent State University, Kent, Ohio, U.S.A.
Mathematical Sciences, Kent State University, Kent, Ohio, U.S.A.
Mathematical Sciences, Kent State University, Kent, Ohio, U.S.A.
AUTHOR
ORIGINAL_ARTICLE
Almost conformal Ricci solitons on $f$-Kenmotsu Manifolds
The object of the present paper is to study the $\phi $-Ricci symmetric, locally $\phi $-Ricci symmetric and cyclic Ricci parallel three-dimensional $f$-Kenmotsu manifold bearing the function $f$ being constant. We have considered almost conformal Ricci soliton on the three-dimensional $f$-Kenmostu manifold and deduced the condition for an almost conformal Ricci soliton, which becomes conformal Ricci soliton. Finally, examples on three-dimensional $f$-Kenmotsu manifold depending on nature of $f$ are constructed to illustrate the results.
http://www.kjm-math.org/article_81221_ef73fb5317c2abd196bf85fc43cda852.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
89
104
10.22034/kjm.2019.81221
$f$-Kenmotsu manifold
almost conformal Ricci soliton
$phi $-symmetric
cyclic Ricci parallel
torqued vector field
Shyamal
Hui
skhui@math.buruniv.ac.in
true
1
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.
LEAD_AUTHOR
Sunil
Yadav
prof_sky16@yahoo.com
true
2
Department of Mathematics, Poornima College of Engineering, ISI-6, RIICO
Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.
Department of Mathematics, Poornima College of Engineering, ISI-6, RIICO
Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.
Department of Mathematics, Poornima College of Engineering, ISI-6, RIICO
Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.
AUTHOR
Akshoy
Patra
akshoyp@gmail.com
true
3
Department of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.
Department of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.
Department of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.
AUTHOR
ORIGINAL_ARTICLE
On The Stability of The Quasi-Linear Implicit Equations in Hilbert Spaces
We use the generalized theorem of Liapounov to obtain some necessary and sufficient conditions for the stability of the stationary implicit equation $$Ax'(t)=Bx(t) ,\quad t\geq 0 ,$$ where $A$ and $B$ are bounded operators in Hilbert spaces. The achieved results can be applied to the stability for the quasi-linear implicit equation $$Ax'(t)=Bx(t)+\theta(t,x(t)),\quad t\geq 0 .$$
http://www.kjm-math.org/article_81222_42e39894a1979bb86b55e195a4835a6e.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
105
112
10.22034/kjm.2019.81222
exponential stability
operator theory
implicit equations
Mehdi
Benabdallah
mehdibufarid@yahoo.fr
true
1
Department of Mathematics, Faculty of Math and Computer, USTOran,
31000, Algeria
Department of Mathematics, Faculty of Math and Computer, USTOran,
31000, Algeria
Department of Mathematics, Faculty of Math and Computer, USTOran,
31000, Algeria
AUTHOR
Mohamed
Hariri
haririmohamed22@yahoo.fr
true
2
Department of Mathematics, University of Djillali Liabes, Sidi Bel-Abbes,
22000, Algeria.
Department of Mathematics, University of Djillali Liabes, Sidi Bel-Abbes,
22000, Algeria.
Department of Mathematics, University of Djillali Liabes, Sidi Bel-Abbes,
22000, Algeria.
LEAD_AUTHOR
ORIGINAL_ARTICLE
On Approximation by $(p,q)$-Meyer-König-Zeller Durrmeyer Operators
In this paper, we introduce a Durrmeyer type modification of Meyer-König-Zeller 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 $(p,q)$-Meyer-König-Zeller Durrmeyer operators for some functions by means of MATLAB programming.
http://www.kjm-math.org/article_81223_7fe57d6463c07a48bf3f40586cfbc49b.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
113
124
10.22034/kjm.2019.81223
$(p, q)$-Calculus, $(p, q)$-Meyer-König-Zeller operator
Modulus of continuity
Peetre $K$-functional
statistical convergence
Honey
Sharma
pro.sharma.h@gmail.com
true
1
Department of Mathematics, Gulzar Group of Institutes, Punjab, India.
Department of Mathematics, Gulzar Group of Institutes, Punjab, India.
Department of Mathematics, Gulzar Group of Institutes, Punjab, India.
LEAD_AUTHOR
Cheena
Gupta
guptacheena21@gmail.com
true
2
I K G Punjab Technical University, Punjab, India.
I K G Punjab Technical University, Punjab, India.
I K G Punjab Technical University, Punjab, India.
AUTHOR
Ramapati
Maurya
ramapatimaurya@gmail.com
true
3
I K G Punjab Technical University, Punjab, India;
Department of Mathematics, Manav Rachna University, Haryana, India.
I K G Punjab Technical University, Punjab, India;
Department of Mathematics, Manav Rachna University, Haryana, India.
I K G Punjab Technical University, Punjab, India;
Department of Mathematics, Manav Rachna University, Haryana, India.
AUTHOR
ORIGINAL_ARTICLE
On Two Generation Methods for The Simple Linear Group $PSL(3,5)$
A finite group $G$ is said to be $(l,m, n)$-generated, if it is a quotient group of the triangle group $T(l,m, n) = \left<x,y, z|x^{l} = y^{m} = z^{n} = xyz = 1\right>.$ In [Nova J. Algebra and Geometry, 2 (1993), no. 3, 277--285], 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, GAP-Groups, Algorithms, and Programming, Version 4.9.3; 2018. (http://www.gap-system.org)] is used in our computations.
http://www.kjm-math.org/article_81226_0b11fe80a831ac221e4f219d8e01381f.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
125
139
10.22034/kjm.2019.81226
Conjugacy classes
$(p, q, r)$-generation
rank
structure constant
Ayoub
Basheer
ayoubbasheer@gmail.com
true
1
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
LEAD_AUTHOR
Thekiso
Seretlo
thekiso.seretlo@ul.ac.za
true
2
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
AUTHOR
ORIGINAL_ARTICLE
Coefficients of Bi-Univalent Functions Involving Pseudo-Starlikeness Associated with Chebyshev Polynomials
In the present paper, a new subclass of analytic and bi-univalent 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.
http://www.kjm-math.org/article_81231_3bd1e952383059c6791a5d546ecb0d03.pdf
2019-01-01T11:23:20
2019-10-22T11:23:20
140
149
10.22034/kjm.2019.81231
univalent functions
Chebyshev polynomials
pseudo starlike function
Hankel determinant
Ibrahim
Awolere
awolereibrahim01@gmail.com
true
1
Department of Mathematics, Emmanuel Alayande College of Education, P.
M. B. 1010, Oyo, Oyo State, Nigeria.
Department of Mathematics, Emmanuel Alayande College of Education, P.
M. B. 1010, Oyo, Oyo State, Nigeria.
Department of Mathematics, Emmanuel Alayande College of Education, P.
M. B. 1010, Oyo, Oyo State, Nigeria.
LEAD_AUTHOR
Abiodun
Oladipo
atoladipo@lautech.edu.ng
true
2
Department of Pure and Applied Mathematics, Ladoke Akintola University
of Tecchnology, Ogbomoso, Oyo State, Nigeria.
Department of Pure and Applied Mathematics, Ladoke Akintola University
of Tecchnology, Ogbomoso, Oyo State, Nigeria.
Department of Pure and Applied Mathematics, Ladoke Akintola University
of Tecchnology, Ogbomoso, Oyo State, Nigeria.
AUTHOR