Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
On a Classification of Almost $alpha $-Cosymplectic Manifolds
1
10
EN
İrem
Küpeli
Erken
Faculty of Engineering and Natural Sciences, Department of Mathematics,
Bursa Technical University, Bursa, Turkey.
irem.erken@btu.edu.tr
10.22034/kjm.2018.67030
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.
Almost α-Cosymplectic manifold,projectively flat,conformally flat,concircularly flat
http://www.kjm-math.org/article_67030.html
http://www.kjm-math.org/article_67030_b36cd9107ed71f514da1f1c232d7e881.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach
11
20
EN
Veerakyathaiah
Umesha
Department of Mathematics, Dayananda sagar college of Engineering, Kumaraswamy layout, Bangalore, Karnataka, India.
vumeshakumar@gmail.com
Spirangaiah
Padmanabhan
Department of Mathematics, R N S I T, Uttarahalli-Kengeri Road, Bangalore, Karnataka, India.
padmanabhanrnsit@gmail.com
P.
Baskar
Department of Mathematics, New Horizon college of Engineering, Bangalore, Karnataka, India.
pbaskar83@yahoo.com
Muhammad
Syed Ali
Department of Pure Mathematics, Thiruvalluvar University, Vellore 632-
115, Tamilnadu, India.
syedgru@gmail.com
10.22034/kjm.2018.73499
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.
Neutral system,exponential stability,Lyapunov method,linear matrix inequality (LMI)
http://www.kjm-math.org/article_73499.html
http://www.kjm-math.org/article_73499_aafcf9d48fb015be832da281da3efe11.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method
21
39
EN
Ahmed
Abdullah
Hamoud
0000-0002-8877-7337
Department of Mathematics Faculty of Education and Science, Taiz University, Taiz, Yemen.
drahmed985@yahoo.com
Kirtiwant
Ghadle
0000-0003-3205-5498
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad 431-004, India.
drkp.ghadle@gmail.com
Shakir
Atshan
Department of Mathematics, Thi Qar Directorates of Education, Ministry of Education, Iraq.
s11h32@yahoo.com
10.22034/kjm.2018.73593
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.
Modified Adomian decomposition method,Caputo fractional derivative,fractional Volterra--Fredholm integro-differential equation,approximate solution
http://www.kjm-math.org/article_73593.html
http://www.kjm-math.org/article_73593_6dc1e8da8bef248712e90632993e6c0c.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
Dynamic Response of an Elastically Connected Double Non-Mindlin Plates with Simply-Supported End Condition due to Moving Load
40
59
EN
Jacob
Abiodun
Gbadeyan
Department of Mathematics, University of Ilorin, Ilorin, Kwara-State, Nigeria.
jagbadeyan@gmail.com
Oluwatayo
Michael
Ogunmiloro
0000-0002-0800-3690
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
oluwatayo.ogunmiloro@eksu.edu.ng
Sunday
Emmanuel
Fadugba
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
classbillboard.fadugba@gmail.com
10.22034/kjm.2018.73854
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 $t$.
Moving load,non-mindlin,simply-supported,Struble's method
http://www.kjm-math.org/article_73854.html
http://www.kjm-math.org/article_73854_83d31b7b005db96ff9db98c737010e46.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
On T-Extensions of Abelian Groups
60
68
EN
Aliakbar
Alijani
Mollasadra Technical and Vocational College, Technical and Vocational University, Ramsar, Iran.
alijanialiakbar@gmail.com
Hossein
Sahleh
Department of Mathematics, University of Guilan, P. O. Box 1914, Rasht, Iran.
sahleh@guilan.ac.ir
10.22034/kjm.2018.74220
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 t-extension if $0to tAstackrel{phi}{to} tBstackrel{psi}{to}tCto 0$ 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 $Cin cal{L}$ splits.
T-extensions,extensions,pure extensions,locally compact abelian groups
http://www.kjm-math.org/article_74220.html
http://www.kjm-math.org/article_74220_a9f5d5879c28658ed606d177fed55aa0.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
On Randers Change of Generalized $m$th Root Metric
69
78
EN
Manoj
Kumar
DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi-221005, India.
mkvermabhu@gmail.com
10.22034/kjm.2018.75278
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.
Finsler space,Randers change of generalized $m$th root metrics,projectively related metrics,locally projectively flat metric,locally dually flat metric
http://www.kjm-math.org/article_75278.html
http://www.kjm-math.org/article_75278_d06809e915d950b5df2806938c6d5b6f.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
Ruscheweyh-Type Harmonic Functions Defined By $q$- Differential Operators
79
88
EN
Gangadharan
Murugusundaramoorthy
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India.
gmsmoorthy@yahoo.com
Jay
M.
Jahangiri
Mathematical Sciences, Kent State University, Kent, Ohio, U.S.A.
jjahangi@kent.edu
10.22034/kjm.2019.81212
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.
Univalent,harmonic starlike,$q$- differential operators
http://www.kjm-math.org/article_81212.html
http://www.kjm-math.org/article_81212_6cf18940b12156412dcfac780d5c4d20.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
Almost conformal Ricci solitons on $f$-Kenmotsu Manifolds
89
104
EN
Shyamal
Kumar
Hui
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.
skhui@math.buruniv.ac.in
Sunil
Kumar
Yadav
Department of Mathematics, Poornima College of Engineering, ISI-6, RIICO
Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.
prof_sky16@yahoo.com
Akshoy
Patra
Department of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.
akshoyp@gmail.com
10.22034/kjm.2019.81221
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.
$f$-Kenmotsu manifold,almost conformal Ricci soliton,$phi $-symmetric,cyclic Ricci parallel,torqued vector field
http://www.kjm-math.org/article_81221.html
http://www.kjm-math.org/article_81221_ef73fb5317c2abd196bf85fc43cda852.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
On The Stability of The Quasi-Linear Implicit Equations in Hilbert Spaces
105
112
EN
Mehdi
Benabdallah
Department of Mathematics, Faculty of Math and Computer, USTOran,
31000, Algeria
mehdibufarid@yahoo.fr
Mohamed
Hariri
Department of Mathematics, University of Djillali Liabes, Sidi Bel-Abbes,
22000, Algeria.
haririmohamed22@yahoo.fr
10.22034/kjm.2019.81222
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 quasi-linear implicit equation $$Ax'(t)=Bx(t)+theta(t,x(t)),quad tgeq 0 .$$
exponential stability,operator theory,implicit equations
http://www.kjm-math.org/article_81222.html
http://www.kjm-math.org/article_81222_42e39894a1979bb86b55e195a4835a6e.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
On Approximation by $(p,q)$-Meyer-König-Zeller Durrmeyer Operators
113
124
EN
Honey
Sharma
0000-0002-0904-2245
Department of Mathematics, Gulzar Group of Institutes, Punjab, India.
pro.sharma.h@gmail.com
Cheena
Gupta
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.
ramapatimaurya@gmail.com
10.22034/kjm.2019.81223
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.
$(p, q)$-Calculus, $(p, q)$-Meyer-König-Zeller operator,Modulus of continuity,Peetre $K$-functional,statistical convergence
http://www.kjm-math.org/article_81223.html
http://www.kjm-math.org/article_81223_7fe57d6463c07a48bf3f40586cfbc49b.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
On Two Generation Methods for The Simple Linear Group $PSL(3,5)$
125
139
EN
Ayoub
Basheer Mohammed
Basheer
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
ayoubbasheer@gmail.com
Thekiso
Trevor
Seretlo
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
thekiso.seretlo@ul.ac.za
10.22034/kjm.2019.81226
A finite group $G$ is said to be $(l,m, n)$-generated, if it is a quotient group of the triangle group $T(l,m, n) = left<x,y, z|x^{l} = y^{m} = z^{n} = xyz = 1right>.$ 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.
Conjugacy classes,$(p, q, r)$-generation,rank,structure constant
http://www.kjm-math.org/article_81226.html
http://www.kjm-math.org/article_81226_0b11fe80a831ac221e4f219d8e01381f.pdf
Tusi Mathematical Research Group (TMRG) and Department of Pure Mathematics, Ferdowsi University of Mashhad (in cooperation with
The Center of Excellence in Analysis on Algebraic Structures)
Khayyam Journal of Mathematics
2423-4788
5
1
2019
01
01
Coefficients of Bi-Univalent Functions Involving Pseudo-Starlikeness Associated with Chebyshev Polynomials
140
149
EN
Ibrahim
Awolere
Department of Mathematics, Emmanuel Alayande College of Education, P.
M. B. 1010, Oyo, Oyo State, Nigeria.
awolereibrahim01@gmail.com
Abiodun
Tinuoye
Oladipo
Department of Pure and Applied Mathematics, Ladoke Akintola University
of Tecchnology, Ogbomoso, Oyo State, Nigeria.
atoladipo@lautech.edu.ng
10.22034/kjm.2019.81231
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.
univalent functions,Chebyshev polynomials,pseudo starlike function,Hankel determinant
http://www.kjm-math.org/article_81231.html
http://www.kjm-math.org/article_81231_3bd1e952383059c6791a5d546ecb0d03.pdf