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WSEAS Transactions on Mathematics最新文献

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Dejdumrong Collocation Approach and Operational Matrix for a Class of Second-Order Delay IVPs: Error Analysis and Applications 一类二阶延迟 IVP 的 Dejdumrong Collocation 方法和运算矩阵：误差分析与应用
WSEAS Transactions on Mathematics Pub Date : 2024-07-19 DOI: 10.37394/23206.2024.23.49
Nawal Shirawia, Ahmed Kherd, Salim Bamsaoud, Mohammad A. Tashtoush, A. F. Jassar, E. Az-Zo’bi
{"title":"Dejdumrong Collocation Approach and Operational Matrix for a Class of Second-Order Delay IVPs: Error Analysis and Applications","authors":"Nawal Shirawia, Ahmed Kherd, Salim Bamsaoud, Mohammad A. Tashtoush, A. F. Jassar, E. Az-Zo’bi","doi":"10.37394/23206.2024.23.49","DOIUrl":"https://doi.org/10.37394/23206.2024.23.49","url":null,"abstract":"In this paper, a collocation method based on the Dejdumrong polynomial matrix approach was used to estimate the solution of higher-order pantograph-type linear functional differential equations. The equations are considered with hybrid proportional and variable delays. The proposed method transforms the functionaltype differential equations into matrix form. The matrices were converted into a system of algebraic equations containing the Dejdumrong polynomial. The coefficients of the Dejdumrong polynomial were obtained by solving the system of algebraic equations. Moreover, the error analysis is performed, and the residual improvement technique is presented. The presented methods are applied to three examples. Finally, the obtained results are compared with the results of other methods in the literature and were found to be better compared. All results in this study have been calculated using Matlab R2021a.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"109 4","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141821500","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
Estimates and Radii of Convexity in Some Classes of Regular Functions 几类正则函数的估计值和凸半径
WSEAS Transactions on Mathematics Pub Date : 2024-07-19 DOI: 10.37394/23206.2024.23.47
F. Maiyer, M. G. Tastanov, A. Utemissova, N. M. Temirbekov, D. S. Kenzhebekova
{"title":"Estimates and Radii of Convexity in Some Classes of Regular Functions","authors":"F. Maiyer, M. G. Tastanov, A. Utemissova, N. M. Temirbekov, D. S. Kenzhebekova","doi":"10.37394/23206.2024.23.47","DOIUrl":"https://doi.org/10.37394/23206.2024.23.47","url":null,"abstract":": - A class ) , , , (   a C n is being introduced regular in the circle","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"101 38","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141821097","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 Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions 涉及广义佩尔佩尔卢卡斯四元数的广义四元数代数新成果
WSEAS Transactions on Mathematics Pub Date : 2024-07-19 DOI: 10.37394/23206.2024.23.50
Rachid Chaker, Abdelkarim Boua
{"title":"New Results on Generalized Quaternion Algebra Involving Generalized Pell-pell Lucas Quaternions","authors":"Rachid Chaker, Abdelkarim Boua","doi":"10.37394/23206.2024.23.50","DOIUrl":"https://doi.org/10.37394/23206.2024.23.50","url":null,"abstract":"his work presents a new sequence, generalized Pell-Pell-Lucas quaternions, we prove that the set of these elements forms an order of generalized quaternions with 3-parameters kλ1,λ2,λ3 as defined by ring theory. In addition, some properties of these elements are presented. The properties in this article refer to kλ1,λ2,λ3 algebras and sometimes to the 2-parameter algebra H(α, β).","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"6 10","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141822643","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
Conjugate Graph and Conjugacy Class Graph related to Direct Product of Dihedral Groups 与二面群直积有关的共轭图和共轭类图
WSEAS Transactions on Mathematics Pub Date : 2024-07-19 DOI: 10.37394/23206.2024.23.48
Chinmayee Kumar, Kuntala Patra
{"title":"Conjugate Graph and Conjugacy Class Graph related to Direct Product of Dihedral Groups","authors":"Chinmayee Kumar, Kuntala Patra","doi":"10.37394/23206.2024.23.48","DOIUrl":"https://doi.org/10.37394/23206.2024.23.48","url":null,"abstract":"Let 𝐺 be a non-abelian group. The conjugate graph of 𝐺 is a graph whose vertices are the noncentral elements of 𝐺 and two vertices are adjacent if they belong to the same conjugacy class. The conjugacy class graph of 𝐺 is a graph whose vertices are the non-central conjugacy classes of 𝐺 and two vertices 𝑎, 𝑏 are adjacent if 𝑔𝑐𝑑(|𝑎|, |𝑏|) is greater than one. In this paper, we explore the structures of these graphs for the groups 𝐷𝑛 × 𝐷𝑚 for odd and even values of 𝑛 and 𝑚. The chromatic number and independence number of the conjugate graphs, their line graphs and complement graphs are found. We discuss various graph parameters like the existence of Eulerian and Hamiltonian cycles, planarity, connectedness, chromatic number, clique number, independence number, and diameter of the conjugacy class graphs of these groups.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":" October","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141823893","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
Composition Operators between BC-rearrangement Invariant BC-Module Spaces BC 重排不变 BC 模块空间之间的合成算子
WSEAS Transactions on Mathematics Pub Date : 2024-07-19 DOI: 10.37394/23206.2024.23.46
İ. Eryılmaz
{"title":"Composition Operators between BC-rearrangement Invariant BC-Module Spaces","authors":"İ. Eryılmaz","doi":"10.37394/23206.2024.23.46","DOIUrl":"https://doi.org/10.37394/23206.2024.23.46","url":null,"abstract":"This paper investigates the behavior and structural properties of composition operators within the framework of 𝔹ℂ-rearrangement 𝔹ℂ-module spaces. Building upon the foundational concepts of 𝔹ℂ-modules and rearrangement-invariant spaces, we explore the intricate interplay between these spaces under the action of composition operators. Our study delves into the algebraic and topological aspects of composition operators, elucidating their impact on the underlying space structures. After establishing the necessary background on 𝔹ℂ -modules and 𝔹ℂ-rearrangement-invariant spaces and laying the groundwork for our subsequent analysis, a rigorous examination of composition operators, we uncover fundamental properties such as 𝔻-continuity, 𝔻- boundedness, and 𝔻-compactness, shedding light on the intrinsic characteristics of these operators within 𝔹ℂmodule spaces.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"101 20","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-07-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141821835","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 Study of Fuzzy Prime Near-rings Involving Fuzzy Semigroup Ideals 涉及模糊半群理想的模糊素近环研究
WSEAS Transactions on Mathematics Pub Date : 2024-05-21 DOI: 10.37394/23206.2024.23.42
M. Ou-Mha, A. Raji, M. Oukessou, A. Boua
{"title":"A Study of Fuzzy Prime Near-rings Involving Fuzzy Semigroup Ideals","authors":"M. Ou-Mha, A. Raji, M. Oukessou, A. Boua","doi":"10.37394/23206.2024.23.42","DOIUrl":"https://doi.org/10.37394/23206.2024.23.42","url":null,"abstract":"In this paper, our main objective is to introduce the notion of a fuzzy semigroup ideal by using Yuan and Lee's definition of fuzzy group based on fuzzy binary operations. Also, some of its basic properties are studied analogously to the known results in the case of semigroup ideals defined in the framework of ordinary near-rings.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"7 7","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141117169","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 Boundary Problems, in Sobolev Spaces with Constant Exponents, Governed by the Nonlinear Operator of Plate Vibrations 板振动非线性算子控制的具有常数指数的索波列夫空间中的一些边界问题
WSEAS Transactions on Mathematics Pub Date : 2024-05-20 DOI: 10.37394/23206.2024.23.39
Bouzeghaya Fouzia, Merouani Boubakeur
{"title":"Some Boundary Problems, in Sobolev Spaces with Constant Exponents, Governed by the Nonlinear Operator of Plate Vibrations","authors":"Bouzeghaya Fouzia, Merouani Boubakeur","doi":"10.37394/23206.2024.23.39","DOIUrl":"https://doi.org/10.37394/23206.2024.23.39","url":null,"abstract":"In this paper, we aim to investigate certain nonlinear boundary problems within Sobolev spaces, where the exponents remain constant. We focus on the dynamically modified operator, incorporating a viscosity term into the nonlinear vibrations of plates. Vibrating plates have a broad range of applications. To address user requirements comprehensively, we've taken into account factors such as the geometric configuration, material density, plate thickness, and Poisson's ratio. After formulating the problems, our method involves converting them into hyperbolic-type nonlinear problems. In this study, we examine six boundary value problems, establishing existence and uniqueness theorems for each. Lastly, we establish the existence of a solution for the stationary problem by employing a variation of Brouwer's fixed point theorem.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"29 27","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141119072","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
Average Run Length Computations of Autoregressive and Moving Average Process using the Extended EWMA Procedure 使用扩展 EWMA 程序计算自回归和移动平均过程的平均运行长度
WSEAS Transactions on Mathematics Pub Date : 2024-05-20 DOI: 10.37394/23206.2024.23.40
Phunsa Mongkoltawat, Y. Areepong, S. Sukparungsee
{"title":"Average Run Length Computations of Autoregressive and Moving Average Process using the Extended EWMA Procedure","authors":"Phunsa Mongkoltawat, Y. Areepong, S. Sukparungsee","doi":"10.37394/23206.2024.23.40","DOIUrl":"https://doi.org/10.37394/23206.2024.23.40","url":null,"abstract":"In the past, the control chart served as a statistical tool for detecting process changes. The Exponentially Weighted Moving Average (EWMA) control chart is highly effective for detecting small changes. This research introduces the Extended Exponentially Weighted Moving Average (Extended EWMA) control chart for the Autoregressive and Moving average process with order p = 1 and q = 1 (ARMA(1,1)) The Extended EWMA control chart incorporates two smoothing parameters ( λ1 and λ2 ) derived from the EWMA control chart. A comparative analysis of the performance of the EWMA control chart. The Average Run Length (ARL) value as determined by the explicit formulas in this research, serves as a metric for evaluating the performance of the Extended EWMA control chart and the EWMA control chart. The Numerical Integral Equation (NIE) method is used to verify the accuracy of the ARL for the explicit formulas of the two control charts which has not been before discovered. The effectiveness of control charts can also be evaluated by analyzing SDRL, ARL, MRL, RMI, AEQL, and PCI values as metrics for various design parameter values. After analyzing the results of the ARL and all five performance meters, it was determined that the Extended EWMA control chart is better than the EWMA control chart at all shift sizes of process changes. Finally, the assessment of the ARMA process is being conducted to evaluate the ARL using a dataset on PM2.5 dust levels in Bangkok, Thailand during January and February of 2024.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"11 6","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141120945","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
Study of a Diseased Volterra Type Population Model featuring Prey Refuge and Fear Influence 以猎物庇护和恐惧影响为特征的疾病 Volterra 型种群模型研究
WSEAS Transactions on Mathematics Pub Date : 2024-05-20 DOI: 10.37394/23206.2024.23.41
N. M. S. Sundari, S. P. Geetha
{"title":"Study of a Diseased Volterra Type Population Model featuring Prey Refuge and Fear Influence","authors":"N. M. S. Sundari, S. P. Geetha","doi":"10.37394/23206.2024.23.41","DOIUrl":"https://doi.org/10.37394/23206.2024.23.41","url":null,"abstract":"In order to study the local stability characteristics of a predator-prey dynamical model, this work proposes a Volterra-type model that takes into account the fear influence of prey resulting from predator domination. Because of an outbreak of disease in the prey species, the prey gets classified as either healthy or diseased. Both predator and prey species compete for their resources. In addition, the prey sought refuge against the predator. All these factors are addressed when setting up the mathematical model. The biological validity of the model is ensured by testing its boundedness. The equilibrium points have been identified. The short-term behavior of the system is analyzed at all equilibrium points. Routh Hurwitz conditions are employed to examine the local stability property.","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"28 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-05-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141119095","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
The Reflexive Edge Strength of Cycles Plus One Edge 循环加一边缘的反射边缘强度
WSEAS Transactions on Mathematics Pub Date : 2024-01-10 DOI: 10.37394/23206.2024.23.4
Uthoomporn Mato, Tanawat Wichianpaisarn
{"title":"The Reflexive Edge Strength of Cycles Plus One Edge","authors":"Uthoomporn Mato, Tanawat Wichianpaisarn","doi":"10.37394/23206.2024.23.4","DOIUrl":"https://doi.org/10.37394/23206.2024.23.4","url":null,"abstract":"","PeriodicalId":55878,"journal":{"name":"WSEAS Transactions on Mathematics","volume":"9 17","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-01-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139439975","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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