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Galoitica: Journal of Mathematical Structures and Applications最新文献

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On The Classification of Neutrosophic Complex Inner Product Spaces 中性复内积空间的分类
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.020104
Mehmet Çelik, N. Olgun
{"title":"On The Classification of Neutrosophic Complex Inner Product Spaces","authors":"Mehmet Çelik, N. Olgun","doi":"10.54216/gjmsa.020104","DOIUrl":"https://doi.org/10.54216/gjmsa.020104","url":null,"abstract":"The objective of this paper is to study the neutrosophic complex inner product spaces over neutrosophic complex field C(I). Also, it determines the necessary and sufficient condition of a neutrosophic complex vector space to be a complex inner product space by using semi module isomorphisms.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"15 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122053978","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
An Introduction to Neutrosophic Real Banach and Hillbert Spaces 中性实巴拿赫和希尔伯特空间导论
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.020101
Mehmet Çelik, N. Olgun
{"title":"An Introduction to Neutrosophic Real Banach and Hillbert Spaces","authors":"Mehmet Çelik, N. Olgun","doi":"10.54216/gjmsa.020101","DOIUrl":"https://doi.org/10.54216/gjmsa.020101","url":null,"abstract":"Banach and Hillbert spaces are the main important concepts in the study of classical functional analysis. This paper generalizes these two kinds of functional spaces into neutrosophic systems, where the concept of neutrosophic Banach space and neutrosophic Hillbert space will be defined and discussed for the first time over partial ordered neutrosophic spaces. Also, many related concepts such as neutrosophic Cauchy sequence, neutrosophic Bessel's inequality, and neutrosophic Parseval's identity will be established and proved.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"21 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121725481","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
On Novel Spline Function Method for Solving Third-Order Boundary Value Problems 求解三阶边值问题的样条函数新方法
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.060202
Arwa A. Hajjari
{"title":"On Novel Spline Function Method for Solving Third-Order Boundary Value Problems","authors":"Arwa A. Hajjari","doi":"10.54216/gjmsa.060202","DOIUrl":"https://doi.org/10.54216/gjmsa.060202","url":null,"abstract":"In this paper, a numerical method is suggested for solving general a nonlinear third order boundary value problem (BVP). In this method, the given nonlinear third-order BVP will be transformed into two third-order initial value problems (IVPs), then spline function approximations are applied to both two IVP for finding the Spline solution and its derivatives up to third order of the given BVP. The study shows that the spline solution of the BVP is existent and unique, and the convergence order of the spline method is fourth with a local truncation error . The presented algorithm is designed for solving a general BVP, where it is applied to some types of nonlinear third-order differential equations. Comparisons of the results obtained by spline method with other methods show the efficiency and highly accurate of the proposed method.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128985968","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 The Bäcklund Transformations for Cosgrove's Equation 关于Cosgrove方程的Bäcklund变换
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.050105
Rama Asad Nadweh
{"title":"On The Bäcklund Transformations for Cosgrove's Equation","authors":"Rama Asad Nadweh","doi":"10.54216/gjmsa.050105","DOIUrl":"https://doi.org/10.54216/gjmsa.050105","url":null,"abstract":"In this paper we study Bäcklund transformations (BTs) for Cosgrove’s equation F-XVIII. We use the generalization of Fokas and Ablowitz method to derive BT between F-XVIII and new fourth-order ordinary differential equations of Painlevé type. Moreover we derive auto-BT and give special solutions for F-XVIII.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127804505","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 Some Results about Schrodinger-Hermite Equation 关于薛定谔-埃尔米特方程的一些结果
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.020202
Mehmet Çelik
{"title":"On Some Results about Schrodinger-Hermite Equation","authors":"Mehmet Çelik","doi":"10.54216/gjmsa.020202","DOIUrl":"https://doi.org/10.54216/gjmsa.020202","url":null,"abstract":"This work is dedicated to study the equation of Schrodinger-Hermite on some well-known spaces as L_2 (R^n ) by using Hermite operator H=-∆+|x|^2.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"132827877","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 The Fuzzy Semi Sub-Modules of Fuzzy Modules 模糊模的模糊半子模
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.050104
Rama Asad Nadweh
{"title":"On The Fuzzy Semi Sub-Modules of Fuzzy Modules","authors":"Rama Asad Nadweh","doi":"10.54216/gjmsa.050104","DOIUrl":"https://doi.org/10.54216/gjmsa.050104","url":null,"abstract":"In this paper, we introduce the concept of fuzzy semi-essential (large) submodule, and we study a necessary and sufficient condition for a fuzzy submodule of a fuzzy module to be a fuzzy semi-essential (large) submodule, also fuzzy images and fuzzy inverse-images of generalized fuzzy semi-essential (large) submodule are studied. Index Terms","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130847590","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 Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry 一维几何ah等距法直接应用中性微分方程的研究
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.010204
A. A. Salama, M. Alaswad, Rasha Dallah, Rozina Ali
{"title":"A Study of Some Neutrosophic Differential Equations as a Direct Application of One-Dimensional Geometric AH-Isometry","authors":"A. A. Salama, M. Alaswad, Rasha Dallah, Rozina Ali","doi":"10.54216/gjmsa.010204","DOIUrl":"https://doi.org/10.54216/gjmsa.010204","url":null,"abstract":"In this paper, we use the one dimensional AH-isometry to find the structure of the solutions of many neutrosophic differential equations. These equations will be handled by the algebraic direct image of the neutrosophic AH-isometry taken in one dimension.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"81 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114144500","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 Brief Review on The Symbolic 2-Plithogenic Number Theory and Algebraic Equations 符号2-上生数论与代数方程述评
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.050103
N. Taffach, Ahmed Hatip
{"title":"A Brief Review on The Symbolic 2-Plithogenic Number Theory and Algebraic Equations","authors":"N. Taffach, Ahmed Hatip","doi":"10.54216/gjmsa.050103","DOIUrl":"https://doi.org/10.54216/gjmsa.050103","url":null,"abstract":"The main goal of this paper is to review the concepts of symbolic 2-plithogenic number theoretical concepts and algebraic equations, where many foundational concepts such as congruencies and linear equations and Diophantine linear equations.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121065180","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: 5
On Neutrosophic Metric Spaces Generated By Classical Metrics 经典度量生成的中性度量空间
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.070104
K. Othman, O. V. Shtawzen, Ahmad Khaldi, Rozina Ali
{"title":"On Neutrosophic Metric Spaces Generated By Classical Metrics","authors":"K. Othman, O. V. Shtawzen, Ahmad Khaldi, Rozina Ali","doi":"10.54216/gjmsa.070104","DOIUrl":"https://doi.org/10.54216/gjmsa.070104","url":null,"abstract":"This paper is dedicated to study the concept of symbolic neutrosophic metric spaces and refined neutrosophic metric spaces (X(I),d) which are generated by classical metrics, where many elementary properties will be discussed in terms of theorems and examples. Also, we study the topological properties of neutrosophic open balls, closed balls, and their topological metric complements, with many related examples that clarify the validity of our work.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"60 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126169602","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
Introduction to Symbolic 2-Plithogenic Probability Theory 符号2-生成概率论导论
Galoitica: Journal of Mathematical Structures and Applications Pub Date : 1900-01-01 DOI: 10.54216/gjmsa.070202
M. B. Zeina, Nizar Altounji, Mohammad Abobala, Yasin Karmouta
{"title":"Introduction to Symbolic 2-Plithogenic Probability Theory","authors":"M. B. Zeina, Nizar Altounji, Mohammad Abobala, Yasin Karmouta","doi":"10.54216/gjmsa.070202","DOIUrl":"https://doi.org/10.54216/gjmsa.070202","url":null,"abstract":"In this paper we present for the first time the concept of symbolic plithogenic random variables and study its properties including expected value and variance. We build the plithogenic formal form of two important distributions that are exponential and uniform distributions. We find its probability density function and cumulative distribution function in its plithogenic form. We also derived its expected values and variance and the formulas of its random numbers generating. We finally present the fundamental form of plithogenic probability density and cumulative distribution functions. All the theorems were proved depending on algebraic approach using isomorphisms. This paper can be considered the base of symbolic plithogenic probability theory.","PeriodicalId":299243,"journal":{"name":"Galoitica: Journal of Mathematical Structures and Applications","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"125617301","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
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