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COMPLEMENTARY FAIR DOMINATION IN GRAPHS 图中的互补公平支配
Journal of Science and Arts Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a18
SWAMINATHAN VENKATASUBRAMANIAN, RAMAN SUNDARESWARAN
{"title":"COMPLEMENTARY FAIR DOMINATION IN GRAPHS","authors":"SWAMINATHAN VENKATASUBRAMANIAN, RAMAN SUNDARESWARAN","doi":"10.46939/j.sci.arts-23.3-a18","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a18","url":null,"abstract":"In a simple, finite undirected graph G, a dominating set D is a subset of the vertex set V(G) whose closed neighbourhood is V(G). Many types of domination have been studied. The studies are based either on the nature of domination or the type of dominating set or the type of the complement of the dominating set. Interaction between dominating set and its complement is also considered. Fair domination is the domination where every vertex in the complement of a dominating set has equal number of neighbours in the dominating set. In this paper, a dominating set whose vertices have equal number of neighbours in the complement is the subject of study. The parameter γ_cof (G) is introduced and studied.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083513","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOME INTEGRAL TRANSFORMS INVOLVING GENERALIZED BESSEL-MAITLAND FUNCTION 涉及广义贝塞尔-梅特兰函数的若干积分变换
Journal of Science and Arts Pub Date : 2023-09-30 DOI: 10.46939/j.sci.arts-23.3-a09
SAIMA BATOOL, GHULAM FARID, SADIA KOUSAR
{"title":"SOME INTEGRAL TRANSFORMS INVOLVING GENERALIZED BESSEL-MAITLAND FUNCTION","authors":"SAIMA BATOOL, GHULAM FARID, SADIA KOUSAR","doi":"10.46939/j.sci.arts-23.3-a09","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.3-a09","url":null,"abstract":"In this paper, we establish some results in terms of generalized Wright hypergeometric function by applying different integral transforms such as Laplace transform, Whittaker transform, Hankel transform, K-transform, Sumudu transform, fractional Fourier transform etc. on the generalized Bessel-Maitland function.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":"63 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135083661","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
A LARGE CLASS EXTENDING *-PARAHYPONORMAL OPERATORS 一大类可拓的*-准次正规算子
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-a04
Aissa Nasli Bakir
{"title":"A LARGE CLASS EXTENDING *-PARAHYPONORMAL OPERATORS","authors":"Aissa Nasli Bakir","doi":"10.46939/j.sci.arts-23.2-a04","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a04","url":null,"abstract":"Properties of a large class of (M,k)-*-quasi-parahyponormal operators are established in the present article. It is shown that these operators have finite ascent and the single valued extension property. The matrix representation and the multicyclicity on a separable complex Hilbert space are proved too.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44638320","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
DECOMPOSITIONS OF NANO g^#-CONTINUITY VIA IDEALIZATION 通过理想化分解纳米g^#-连续性
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-a05
O. Nethaji, Subramaniyan Devi, M. Rameshpandi, Rajendaran Premkumar
{"title":"DECOMPOSITIONS OF NANO g^#-CONTINUITY VIA IDEALIZATION","authors":"O. Nethaji, Subramaniyan Devi, M. Rameshpandi, Rajendaran Premkumar","doi":"10.46939/j.sci.arts-23.2-a05","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a05","url":null,"abstract":"In this paper we introduce the notions of αg^#-nI-open sets, η^#-nI-open sets, h^#-nI-open sets, g^# _t-nI-sets, g^# _(α^* )-nI-sets and g^# _S-nI-sets in ideal nano topological spaces and investigate some of their properties.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48393937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
STATISTICAL ANALYSIS OF INTERNET OF THINGS (IoT) PENETRATION IN INDIVIDUAL CONSUMPTION IN EU COUNTRIES 欧盟国家物联网在个人消费中的渗透率统计分析
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-c03
A. Pica, Laura Marcu, Denisa Cornelia Ivan, N. Angelescu
{"title":"STATISTICAL ANALYSIS OF INTERNET OF THINGS (IoT) PENETRATION IN INDIVIDUAL CONSUMPTION IN EU COUNTRIES","authors":"A. Pica, Laura Marcu, Denisa Cornelia Ivan, N. Angelescu","doi":"10.46939/j.sci.arts-23.2-c03","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-c03","url":null,"abstract":"The interest that Internet of Things (IoT) enjoys is particular not only from a technical point of view, but also through the lens of the special contribution in terms of economic competitiveness or development of public services. As a result, at the European level, IoT development is a goal for both companies and individual users. In our study, we aimed to analyze from a statistical point of view what is the situation of equipping private homes with IoT devices, the factors that exert an influence on individual behavior and the extent to which Member States differ from each other, as a premise for future public measures that will be adopted in this field.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45514829","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
EFFICIENT PREDICTIVE ESTIMATOR FOR FINITE POPULATION MEAN USING SUPPLEMENTARY VARIABLE UNDER POST STRATIFICATION 后分层条件下基于补充变量的有限总体均值有效预测估计
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-a16
M. Shah, S. Rizvi, Manish Sharma, M. Jeelani
{"title":"EFFICIENT PREDICTIVE ESTIMATOR FOR FINITE POPULATION MEAN USING SUPPLEMENTARY VARIABLE UNDER POST STRATIFICATION","authors":"M. Shah, S. Rizvi, Manish Sharma, M. Jeelani","doi":"10.46939/j.sci.arts-23.2-a16","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a16","url":null,"abstract":"In the current investigation, we have developed the efficient predictive estimator for finite population mean using auxiliary variable in case of post stratification. Up to the first order of approximation, the expressions for bias and mean square error (MSE) are derived for the proposed estimator. This also reveals the constant’s ideal value, which reduces the MSE of the developed estimator. The developed estimator performs better than the existing estimators.Numerical study is also carried out by using the real data sets.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41587408","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
NEW TECHNIQUE TO ACCELERATE THE CONVERGENCE OF THE SOLUTIONS OF FRACTIONAL ORDER BRATU-TYPE DIFFERENTIAL EQUATIONS 加速分数阶bratu型微分方程解收敛的新技术
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-a17
Ali Khalouta
{"title":"NEW TECHNIQUE TO ACCELERATE THE CONVERGENCE OF THE SOLUTIONS OF FRACTIONAL ORDER BRATU-TYPE DIFFERENTIAL EQUATIONS","authors":"Ali Khalouta","doi":"10.46939/j.sci.arts-23.2-a17","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a17","url":null,"abstract":"There are many common combination methods for solving fractional differential equations. In this work, we propose a new technique called Adomian decomposition transform method (ADTM) in order to provide a new approximate series solution of fractional order Bratu-type differential equations. The fractional order derivative is described in the Caputo sense. The ADTM is a combination of two powerful methods, the Jafari transform method and Adomian decomposition method. For accelerating the convergence of ADTM when used for these equations, we replace the nonlinear terms by their Taylor expansion. To demonstrate the efficiency and validity of the proposed method, four numerical examples are presented and we compare our obtained results with the analytical results. Finally, the numerical results obtained are represented graphically using MATLAB software.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42505687","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
SOLVABILITY AND ULAM STABILITY FOR A NONLINEAR DIFFERENTIAL PROBLEM INVOLVING p-LAPLACIAN OPERATOR AND PHI-CAPUTO SEQUENTIAL DERIVATIVES 一类非线性微分问题的可解性和ULAM稳定性，涉及p-拉普拉斯算子和p- caputo序列导数
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-a06
M. Beddani, H. Fettouch, Hamid Beddani
{"title":"SOLVABILITY AND ULAM STABILITY FOR A NONLINEAR DIFFERENTIAL PROBLEM INVOLVING p-LAPLACIAN OPERATOR AND PHI-CAPUTO SEQUENTIAL DERIVATIVES","authors":"M. Beddani, H. Fettouch, Hamid Beddani","doi":"10.46939/j.sci.arts-23.2-a06","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a06","url":null,"abstract":"This paper deals with a general class of nonlinear fractional differential equations with p-Laplacian operator that involves some sequential Caputo derivatives. New criteria on the existence and uniqueness of solutions are established. The stability analysis in the sense of Ulam Hyers is discussed. An illustrative example is presented.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43844782","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
NUMERICAL SOLUTION FOR TWO-DIMENSIONAL NONLINEAR KLEIN-GORDON EQUATION THROUGH MESHLESS SINGULAR BOUNDARY METHOD 二维非线性klein-gordon方程的无网格奇异边界法数值解
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-a02
Mohammad Aslefallah, S. Abbasbandy, E. Shivanian
{"title":"NUMERICAL SOLUTION FOR TWO-DIMENSIONAL NONLINEAR KLEIN-GORDON EQUATION THROUGH MESHLESS SINGULAR BOUNDARY METHOD","authors":"Mohammad Aslefallah, S. Abbasbandy, E. Shivanian","doi":"10.46939/j.sci.arts-23.2-a02","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a02","url":null,"abstract":"In this study, the singular boundary method (SBM) is employed for the simulation of nonlinear Klein-Gordon equation with initial and Dirichlet-type boundary conditions. The θ-weighted and Houbolt finite difference method is used to discretize the time derivatives. Then the original equations are split into a system of partial differential equations. A splitting scheme is applied to split the solution of the inhomogeneous governing equation into homogeneous solution and particular solution. To solve this system, the method of particular solution in combination with the singular boundary method is used for particular solution and homogeneous solution, respectively. Finally, several numerical examples are provided and compared with the exact analytical solutions to show the accuracy and efficiency of method in comparison with other existing methods.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41915539","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
ON SUMS WITH THE r-DERANGEMENT NUMBERS 关于r-无序数的和
IF 0.4
Journal of Science and Arts Pub Date : 2023-06-30 DOI: 10.46939/j.sci.arts-23.2-a14
N. Ömür, K. Südemen, S. Koparal, Ö. Duran
{"title":"ON SUMS WITH THE r-DERANGEMENT NUMBERS","authors":"N. Ömür, K. Südemen, S. Koparal, Ö. Duran","doi":"10.46939/j.sci.arts-23.2-a14","DOIUrl":"https://doi.org/10.46939/j.sci.arts-23.2-a14","url":null,"abstract":"In this paper, we derive some sums involving the r-derangement numbers, D_r (n) and the generalized hyperharmonic numbers of order r, H_n^r (α) by using the generating functions and Riordan arrays. For example, for n,r∈Z^+with n≥r,\u0000∑_(i=0)^(n-r)〖(-1)^i ((r+1i)) (D_r (n-i))/(n-i)!〗=(-1)^(n-r)/(n-r)!.","PeriodicalId":54169,"journal":{"name":"Journal of Science and Arts","volume":" ","pages":""},"PeriodicalIF":0.4,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43980535","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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