@article {doi:10.22034/kjm.2018.67030,
author = {İrem Erken},
title = {On a Classification of Almost $\alpha $-Cosymplectic Manifolds},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {1-10},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2018.67030},
abstract = {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.},
keywords = {Almost α-Cosymplectic manifold,projectively flat,conformally flat,concircularly flat},
URL = {
http://www.kjm-math.org/article_67030.html
},
eprint = {
http://www.kjm-math.org/article__b36cd9107ed71f514da1f1c232d7e88167030.pdf
}
}
@article {doi:10.22034/kjm.2018.73499,
author = {Veerakyathaiah Umesha,Spirangaiah Padmanabhan,P. Baskar,Muhammad Syed Ali},
title = {Exponential Stability Analysis for Delay-Differential Systems of Neutral Type with an LMI Approach},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {11-20},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2018.73499},
abstract = {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.},
keywords = {Neutral system,exponential stability,Lyapunov method,linear matrix inequality (LMI)},
URL = {
http://www.kjm-math.org/article_73499.html
},
eprint = {
http://www.kjm-math.org/article__aafcf9d48fb015be832da281da3efe1173499.pdf
}
}
@article {doi:10.22034/kjm.2018.73593,
author = {Ahmed Hamoud,Kirtiwant Ghadle,Shakir Atshan},
title = {The Approximate Solutions of Fractional Integro-Differential Equations by Using Modified Adomian Decomposition Method},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {21-39},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2018.73593},
abstract = {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.},
keywords = {Modified Adomian decomposition method,Caputo fractional derivative,fractional Volterra--Fredholm integro-differential equation,approximate solution},
URL = {
http://www.kjm-math.org/article_73593.html
},
eprint = {
http://www.kjm-math.org/article__6dc1e8da8bef248712e90632993e6c0c73593.pdf
}
}
@article {doi:10.22034/kjm.2018.73854,
author = {Jacob Gbadeyan,Oluwatayo Ogunmiloro,Sunday Fadugba},
title = {Dynamic Response of an Elastically Connected Double Non-Mindlin Plates with Simply-Supported End Condition due to Moving Load},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {40-59},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2018.73854},
abstract = {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 $t$.},
keywords = {Moving load,non-mindlin,simply-supported,Struble's method},
URL = {
http://www.kjm-math.org/article_73854.html
},
eprint = {
http://www.kjm-math.org/article__83d31b7b005db96ff9db98c737010e4673854.pdf
}
}
@article {doi:10.22034/kjm.2018.74220,
author = {Aliakbar Alijani,Hossein Sahleh},
title = {On T-Extensions of Abelian Groups},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {60-68},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2018.74220},
abstract = {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.},
keywords = {T-extensions,extensions,pure extensions,locally compact abelian groups},
URL = {
http://www.kjm-math.org/article_74220.html
},
eprint = {
http://www.kjm-math.org/article__a9f5d5879c28658ed606d177fed55aa074220.pdf
}
}
@article {doi:10.22034/kjm.2018.75278,
author = {Manoj Kumar},
title = {On Randers Change of Generalized $m$th Root Metric},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {69-78},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2018.75278},
abstract = {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.},
keywords = {Finsler space,Randers change of generalized $m$th root metrics,projectively related metrics,locally projectively flat metric,locally dually flat metric},
URL = {
http://www.kjm-math.org/article_75278.html
},
eprint = {
http://www.kjm-math.org/article__d06809e915d950b5df2806938c6d5b6f75278.pdf
}
}
@article {doi:10.22034/kjm.2019.81212,
author = {Gangadharan Murugusundaramoorthy,Jay Jahangiri},
title = {Ruscheweyh-Type Harmonic Functions Defined By $q$- Differential Operators},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {79-88},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.81212},
abstract = {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.},
keywords = {Univalent,harmonic starlike,$q$- differential operators},
URL = {
http://www.kjm-math.org/article_81212.html
},
eprint = {
http://www.kjm-math.org/article__6cf18940b12156412dcfac780d5c4d2081212.pdf
}
}
@article {doi:10.22034/kjm.2019.81221,
author = {Shyamal Hui,Sunil Yadav,Akshoy Patra},
title = {Almost conformal Ricci solitons on $f$-Kenmotsu Manifolds},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {89-104},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.81221},
abstract = {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.},
keywords = {$f$-Kenmotsu manifold,almost conformal Ricci soliton,$phi $-symmetric,cyclic Ricci parallel,torqued vector field},
URL = {
http://www.kjm-math.org/article_81221.html
},
eprint = {
http://www.kjm-math.org/article__ef73fb5317c2abd196bf85fc43cda85281221.pdf
}
}
@article {doi:10.22034/kjm.2019.81222,
author = {Mehdi Benabdallah,Mohamed Hariri},
title = {On The Stability of The Quasi-Linear Implicit Equations in Hilbert Spaces},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {105-112},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.81222},
abstract = {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 $$Ax'(t)=Bx(t)+\theta(t,x(t)),\quad t\geq 0 .$$},
keywords = {exponential stability,operator theory,implicit equations},
URL = {
http://www.kjm-math.org/article_81222.html
},
eprint = {
http://www.kjm-math.org/article__42e39894a1979bb86b55e195a4835a6e81222.pdf
}
}
@article {doi:10.22034/kjm.2019.81223,
author = {Honey Sharma,Cheena Gupta,Ramapati Maurya},
title = {On Approximation by $(p,q)$-Meyer-König-Zeller Durrmeyer Operators},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {113-124},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.81223},
abstract = {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.},
keywords = {$(p, q)$-Calculus, $(p, q)$-Meyer-König-Zeller operator,Modulus of continuity,Peetre $K$-functional,statistical convergence},
URL = {
http://www.kjm-math.org/article_81223.html
},
eprint = {
http://www.kjm-math.org/article__7fe57d6463c07a48bf3f40586cfbc49b81223.pdf
}
}
@article {doi:10.22034/kjm.2019.81226,
author = {Ayoub Basheer,Thekiso Seretlo},
title = {On Two Generation Methods for The Simple Linear Group $PSL(3,5)$},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {125-139},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.81226},
abstract = {A finite group $G$ is said to be $(l,m, n)$-generated, if it is a quotient group of the triangle group $T(l,m, n) = \left.$ 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.},
keywords = {Conjugacy classes,$(p, q, r)$-generation,rank,structure constant},
URL = {
http://www.kjm-math.org/article_81226.html
},
eprint = {
http://www.kjm-math.org/article__0b11fe80a831ac221e4f219d8e01381f81226.pdf
}
}
@article {doi:10.22034/kjm.2019.81231,
author = {Ibrahim Awolere,Abiodun Oladipo},
title = {Coefficients of Bi-Univalent Functions Involving Pseudo-Starlikeness Associated with Chebyshev Polynomials},
journal = {Khayyam Journal of Mathematics},
volume = {5},
number = {1},
pages = {140-149},
year = {2019},
publisher = {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)},
issn = {2423-4788},
eissn = {2423-4788},
doi = {10.22034/kjm.2019.81231},
abstract = {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.},
keywords = {univalent functions,Chebyshev polynomials,pseudo starlike function,Hankel determinant},
URL = {
http://www.kjm-math.org/article_81231.html
},
eprint = {
http://www.kjm-math.org/article__3bd1e952383059c6791a5d546ecb0d0381231.pdf
}
}