On a Classification of Almost $\alpha $-Cosymplectic Manifolds
İrem
Erken
Faculty of Engineering and Natural Sciences, Department of Mathematics,
Bursa Technical University, Bursa, Turkey.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
1
10
http://www.kjm-math.org/article_67030_b36cd9107ed71f514da1f1c232d7e881.pdf
dx.doi.org/10.22034/kjm.2018.67030
Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach
Veerakyathaiah
Umesha
Department of Mathematics, Dayananda sagar college of Engineering, Kumaraswamy layout, Bangalore, Karnataka, India.
author
Spirangaiah
Padmanabhan
Department of Mathematics, R N S I T, Uttarahalli-Kengeri Road, Bangalore, Karnataka, India.
author
P.
Baskar
Department of Mathematics, New Horizon college of Engineering, Bangalore, Karnataka, India.
author
Muhammad
Syed Ali
Department of Pure Mathematics, Thiruvalluvar University, Vellore 632-
115, Tamilnadu, India.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
11
20
http://www.kjm-math.org/article_73499_aafcf9d48fb015be832da281da3efe11.pdf
dx.doi.org/10.22034/kjm.2018.73499
The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method
Ahmed
Hamoud
Department of Mathematics Faculty of Education and Science, Taiz University, Taiz, Yemen.
author
Kirtiwant
Ghadle
Department of Mathematics, Dr. Babasaheb Ambedkar Marathwada University,
Aurangabad 431-004, India.
author
Shakir
Atshan
Department of Mathematics, Thi Qar Directorates of Education, Ministry of Education, Iraq.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
21
39
http://www.kjm-math.org/article_73593_6dc1e8da8bef248712e90632993e6c0c.pdf
dx.doi.org/10.22034/kjm.2018.73593
Dynamic Response of an Elastically Connected Double Non-Mindlin Plates with Simply-Supported End Condition due to Moving Load
Jacob
Gbadeyan
Department of Mathematics, University of Ilorin, Ilorin, Kwara-State, Nigeria.
author
Oluwatayo
Ogunmiloro
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
author
Sunday
Fadugba
Department of Mathematics, Ekiti - State University(EKSU), Ado-Ekiti, Ekiti - State, Nigeria.
author
text
article
2019
eng
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 $t$.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
40
59
http://www.kjm-math.org/article_73854_83d31b7b005db96ff9db98c737010e46.pdf
dx.doi.org/10.22034/kjm.2018.73854
On T-Extensions of Abelian Groups
Aliakbar
Alijani
Mollasadra Technical and Vocational College, Technical and Vocational University, Ramsar, Iran.
author
Hossein
Sahleh
Department of Mathematics, University of Guilan, P. O. Box 1914, Rasht, Iran.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
60
68
http://www.kjm-math.org/article_74220_a9f5d5879c28658ed606d177fed55aa0.pdf
dx.doi.org/10.22034/kjm.2018.74220
On Randers Change of Generalized $m$th Root Metric
Manoj
Kumar
DST-Centre for Interdisciplinary Mathematical Sciences, Institute of Science, Banaras Hindu University, Varanasi-221005, India.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
69
78
http://www.kjm-math.org/article_75278_d06809e915d950b5df2806938c6d5b6f.pdf
dx.doi.org/10.22034/kjm.2018.75278
Ruscheweyh-Type Harmonic Functions Defined By $q$- Differential Operators
Gangadharan
Murugusundaramoorthy
Department of Mathematics, School of Advanced Sciences, Vellore Institute of Technology, Vellore - 632014, India.
author
Jay
Jahangiri
Mathematical Sciences, Kent State University, Kent, Ohio, U.S.A.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
79
88
http://www.kjm-math.org/article_81212_6cf18940b12156412dcfac780d5c4d20.pdf
dx.doi.org/10.22034/kjm.2019.81212
Almost conformal Ricci solitons on $f$-Kenmotsu Manifolds
Shyamal
Hui
Department of Mathematics, The University of Burdwan, Golapbag, Burdwan – 713104, West Bengal, India.
author
Sunil
Yadav
Department of Mathematics, Poornima College of Engineering, ISI-6, RIICO
Institutional Area, Sitapura, Jaipur – 302022, Rajasthan, India.
author
Akshoy
Patra
Department of Mathematics, Govt. College of Engineering and Technology, Berhampur, Murshidabad – 742101, West Bengal, India.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
89
104
http://www.kjm-math.org/article_81221_ef73fb5317c2abd196bf85fc43cda852.pdf
dx.doi.org/10.22034/kjm.2019.81221
On The Stability of The Quasi-Linear Implicit Equations in Hilbert Spaces
Mehdi
Benabdallah
Department of Mathematics, Faculty of Math and Computer, USTOran,
31000, Algeria
author
Mohamed
Hariri
Department of Mathematics, University of Djillali Liabes, Sidi Bel-Abbes,
22000, Algeria.
author
text
article
2019
eng
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 $$Ax'(t)=Bx(t)+\theta(t,x(t)),\quad t\geq 0 .$$
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
105
112
http://www.kjm-math.org/article_81222_42e39894a1979bb86b55e195a4835a6e.pdf
dx.doi.org/10.22034/kjm.2019.81222
On Approximation by $(p,q)$-Meyer-König-Zeller Durrmeyer Operators
Honey
Sharma
Department of Mathematics, Gulzar Group of Institutes, Punjab, India.
author
Cheena
Gupta
I K G Punjab Technical University, Punjab, India.
author
Ramapati
Maurya
I K G Punjab Technical University, Punjab, India;
Department of Mathematics, Manav Rachna University, Haryana, India.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
113
124
http://www.kjm-math.org/article_81223_7fe57d6463c07a48bf3f40586cfbc49b.pdf
dx.doi.org/10.22034/kjm.2019.81223
On Two Generation Methods for The Simple Linear Group $PSL(3,5)$
Ayoub
Basheer
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
author
Thekiso
Seretlo
School of Mathematical and Computer Sciences, University of Limpopo
(Turfloop), P Bag X1106, Sovenga 0727, South Africa
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
125
139
http://www.kjm-math.org/article_81226_0b11fe80a831ac221e4f219d8e01381f.pdf
dx.doi.org/10.22034/kjm.2019.81226
Coefficients of Bi-Univalent Functions Involving Pseudo-Starlikeness Associated with Chebyshev Polynomials
Ibrahim
Awolere
Department of Mathematics, Emmanuel Alayande College of Education, P.
M. B. 1010, Oyo, Oyo State, Nigeria.
author
Abiodun
Oladipo
Department of Pure and Applied Mathematics, Ladoke Akintola University
of Tecchnology, Ogbomoso, Oyo State, Nigeria.
author
text
article
2019
eng
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.
Khayyam Journal of Mathematics
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)
2423-4788
5
v.
1
no.
2019
140
149
http://www.kjm-math.org/article_81231_3bd1e952383059c6791a5d546ecb0d03.pdf
dx.doi.org/10.22034/kjm.2019.81231