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European Journal of Pure and Applied Mathematics最新文献

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$J^2$-Independence Parameters of Some Graphs 一些图形的 $J^2$ 独立参数
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.4946
Javier A. Hassan, Aziz B. Tapeing, Hounam B. Copel, Alcyn R. Bakkang, Sharifa Dianne A. Aming
{"title":"$J^2$-Independence Parameters of Some Graphs","authors":"Javier A. Hassan, Aziz B. Tapeing, Hounam B. Copel, Alcyn R. Bakkang, Sharifa Dianne A. Aming","doi":"10.29020/nybg.ejpam.v17i1.4946","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.4946","url":null,"abstract":"Let G be a graph. A subset I′ of a vertex-set V (G) of G is called a J2-independent in Gif for every pair of distinct vertices a, b ∈ I′, dG(a, b) ̸= 1, N2 G[a]N2 G[b] ̸= ∅ and N2 G[b]N2 G[a] ̸= ∅. The maximum cardinality among all J2-independent sets in G, denoted by αJ2 (G), is called the J2-independence number of G. Any J2-independent set I′satisfying |I′| = αJ2 (G) is called the maximum J2-independent set of G or an αJ2 -set of G. In this paper, we establish some boundsof this parameter on a generalized graph, join and corona of two graphs. We characterize J2-independent sets in some families of graphs, and we use these results to derive the exact values of parameters of these graphs. Moreover, we investigate the connections of this new parameter with other variants of independence parameters. In fact, we show that the J2-independence number of a graph is always less than or equal to the standard independence number.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140471534","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
Köthe Dual of Some Vector-valued Sequence Spaces 一些矢量值序列空间的柯赛对偶
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.4992
Mohamed Ahmed Sidaty
{"title":"Köthe Dual of Some Vector-valued Sequence Spaces","authors":"Mohamed Ahmed Sidaty","doi":"10.29020/nybg.ejpam.v17i1.4992","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.4992","url":null,"abstract":"We study some properties of the spaces λ(E) of weakly λ-summable sequences and λ⟨E⟩ of strongly λ-summable sequences of a locally convex space E. For example, after proving results on bounded sets of these spaces, we express the elements of their K öthe duals in terms of sequences in the continuous dual E′ of E, then we prove that these spaces possess the AK property if and only if the K ̈othe dual coincides with the continuous dual.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140476256","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 Reverse Derivations in d-algebras 论 d 结构中的反向衍生
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.5025
Kholood Alnefaie
{"title":"On Reverse Derivations in d-algebras","authors":"Kholood Alnefaie","doi":"10.29020/nybg.ejpam.v17i1.5025","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5025","url":null,"abstract":"\u0000\u0000\u0000In the present paper, we apply the concept of reverse derivation in rings on the concept of d − algebra to obtain the concept called a left-right (resp. right-left) reverse derivations of d−algebra X (briefly, (l, r) resp. (r, l)− reverse derivation of d − algebra ), we will also, define some concepts such as regular map, composition two maps and study the related properties. Moreover, the notions of partial ordered edge d − algebra as well as d − subalgebra and their relation to our current study are obtained. In addition, some illustrative examples and counterexamples are discussed.\u0000\u0000\u0000","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140473516","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 Generalized Compactness in Fuzzy Bitopological Spaces 论模糊比托学空间的广义紧凑性
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.5027
Ahlam Ahmed Alharbi, Adem Kilicman
{"title":"On Generalized Compactness in Fuzzy Bitopological Spaces","authors":"Ahlam Ahmed Alharbi, Adem Kilicman","doi":"10.29020/nybg.ejpam.v17i1.5027","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5027","url":null,"abstract":"The main objective of this research is to study some types of generalized closed sets in fuzzy bitopology including $(i,j)-galpha-cld$, $(i,j)-gs-cld$, $(i,j)-gp-cld$, and $(i,j)-gbeta-cld$. We then present basic theorems for determining their relationships and explain their properties, such as closure and interior. In addition, there are many interesting counterexamples. The last part of the research focuses on generalized compactness in fuzzy bitopological spaces and their types and explores the relationships between these concepts, their important theories, and some relevant counterexamples. The results established in this paper are new in the domain of fuzzy bitopology.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140475164","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
Utilization of the Modified Adomian Decomposition Method on the Bagley-Torvik Equation Amidst Dirichlet Boundary Conditions 在巴格利-托尔维克方程中利用改良阿多米分解法处理迪里夏特边界条件
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.5050
M. Al-Mazmumy, Mona Alsulami
{"title":"Utilization of the Modified Adomian Decomposition Method on the Bagley-Torvik Equation Amidst Dirichlet Boundary Conditions","authors":"M. Al-Mazmumy, Mona Alsulami","doi":"10.29020/nybg.ejpam.v17i1.5050","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5050","url":null,"abstract":"The Bagley-Torvik equation is an imperative differential equation that considerably arises in various branches of mathematical physics and mechanics. However, very few methods exist for the treatment of the model analytically; in fact, researchers frequently shop for semi-analytical and numerical methods in their studies. Therefore, the main goal of this research is to find theexact analytical solution for the fractional Bagley-Torvik equation fitted with Dirichlet boundary data, as well as a system of fractional Bagley-Torvik equations. Thus, this research aims to show that the modified Adomian decomposition method (MADM) via the proposed two algorithms is a very effective method for treating a class of Bagley-Torvik equations endowed with Dirichletboundary data. Certainly, MADM is a very powerful approach for solving dissimilar functional equations without the need for either linearization, discretization, perturbation, or even unnecessary restraining postulations. Additionally, the method reveals exact analytical solutions whenever obtainable or closed-form series solutions whenever exact solutions are not feasible. Lastly, some illustrative test problems of the governing model are examined to demonstrate the superiority of the proposed algorithms.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140474582","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 Mohanad Transforms and Their Applications for Solving Systems of Differential Equations 莫汉纳德变换及其在求解微分方程系统中的应用
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.5005
Rania Saadeh, Al-anoud Alshawabkeh, Raed Khalil, Mohamed A. Abdoon, Nidal E. Taha, Dalal Khalid Almutairi
{"title":"The Mohanad Transforms and Their Applications for Solving Systems of Differential Equations","authors":"Rania Saadeh, Al-anoud Alshawabkeh, Raed Khalil, Mohamed A. Abdoon, Nidal E. Taha, Dalal Khalid Almutairi","doi":"10.29020/nybg.ejpam.v17i1.5005","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5005","url":null,"abstract":"In recent years, Mohanad transform, a mathematical approach, has drawn a lot of interest from researchers. It is useful for solving many engineering and scientific problems, such as those involving electric circuits, population growth, vibrational beams, and heat conduction. The Mohanad transform is defined and introduced in this study, along with its fundamental qualities,including linearity and convolution. It is also discussed in connection with other integral transforms and how it is used in derivatives. Additionally, we use the Mohanad transform to solve a few systems of ordinary differential equations (ODEs) and review its properties in this paper. Determining the concentration of a chemical reactant (material) in a series is a physical chemistry problem that we use in the application part. We achieve this by developing a model based on ordinary differential equations (ODEs) and then solving them using the Mohanad transform. This research proves that, with little computational effort, we can get the exact solutions of ordinary differential equations (ODEs) via the Mohanad transform. We used graphs and tables to show our answer.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140474750","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: 1
Matrix Mixed Inequalities 矩阵混合不等式
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.5009
Feng Zhang, Chunwen Zhang
{"title":"Matrix Mixed Inequalities","authors":"Feng Zhang, Chunwen Zhang","doi":"10.29020/nybg.ejpam.v17i1.5009","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5009","url":null,"abstract":"In this paper, we prove that all the eigenvalues of arbitrarily complex matrix are located in one closed disk, which is a refinement of some existing inequalities.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140479927","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
Fekete-Szegö Functional of a Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials 与格根鲍尔多项式相关的双等价函数子类的 Fekete-Szegö 函数
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.5004
Waleed AlRawashdeh
{"title":"Fekete-Szegö Functional of a Subclass of Bi-Univalent Functions Associated with Gegenbauer Polynomials","authors":"Waleed AlRawashdeh","doi":"10.29020/nybg.ejpam.v17i1.5004","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5004","url":null,"abstract":"In this paper, we introduce and investigate a class of bi-univalent functions, denoted by $mathcal{F}(n, alpha, beta)$, that depends on the Ruscheweyh operator. For functions in this class, we derive the estimations for the initial Taylor-Maclaurin coefficients $|a_2|$ and $|a_3|$. Moreover, we obtain the classical Fekete-Szeg\"{o} inequality of functions belonging to this class.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140474182","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: 2
Study on Degenerate Stirling Numbers 退化斯特林数研究
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.5011
Dae San Kim, Taekyun Kim, J. Kwon
{"title":"Study on Degenerate Stirling Numbers","authors":"Dae San Kim, Taekyun Kim, J. Kwon","doi":"10.29020/nybg.ejpam.v17i1.5011","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.5011","url":null,"abstract":"In this paper, we consider various Stirling numbers of both kinds, including the unsigned degenerate Stirling numbers of the first kind, the degenerate Stirling numbers of the second kind, the unsigned degenerate r-Stirling numbers of the first kind and the degenerate r-Stirling numbers of the second kind. The aim of this paper is by using generating functions to further study explicit expressions, some identities and equivalent relations for those Stirling numbers.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140475268","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
M-polar Q-hesitant Anti-fuzzy Set in BCK/BCI-algebras BCK/BCI 算法中的 M 极 Q 反模糊集
IF 0.7
European Journal of Pure and Applied Mathematics Pub Date : 2024-01-31 DOI: 10.29020/nybg.ejpam.v17i1.4952
M. Alshayea, K. Alsager
{"title":"M-polar Q-hesitant Anti-fuzzy Set in BCK/BCI-algebras","authors":"M. Alshayea, K. Alsager","doi":"10.29020/nybg.ejpam.v17i1.4952","DOIUrl":"https://doi.org/10.29020/nybg.ejpam.v17i1.4952","url":null,"abstract":"The main objective of this paper is to effectively define a new concept of the fabulous fuzzy set theory that is called m-polar Q-hesitant anti-fuzzy set and apply it to the BCK/BCI-algebras. The m-polar Q-hesitant anti-fuzzy set is an astonishing development of the combination between the m-polar fuzzy set and the Q-hesitant fuzzy set. However, we introduce knowledge of the m-polar Q-hesitant anti-fuzzy subalgebra, m-polar Q-hesitant anti-fuzzy ideal, closed m-polar Q-hesitant anti-fuzzy ideal, m-polar Q hesitant anti-fuzzy commutative ideal, m-polar Q-hesitant anti-fuzzy implicative ideal, and m-polar Q-hesitant anti-fuzzy positive implicative of BCK/BCI- algebras. In addition, we investigate several theorems, examples, and properties of these notions.","PeriodicalId":51807,"journal":{"name":"European Journal of Pure and Applied Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7,"publicationDate":"2024-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140475921","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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