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Magnetized Strange Quark Models in Lyra Theory 天琴座理论中的磁化奇异夸克模型
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1310436
Kadır Özcan, C. Aktaş
{"title":"Magnetized Strange Quark Models in Lyra Theory","authors":"Kadır Özcan, C. Aktaş","doi":"10.53570/jnt.1310436","DOIUrl":"https://doi.org/10.53570/jnt.1310436","url":null,"abstract":"In this study, the behavior of magnetized strange quark matter (MSQM) distribution in Lyra theory was investigated for homogeneous anisotropic Bianchi III, locally rotationally symmetric (LRS) Bianchi I, and Kantowski-Sachs universe models. We have used the equations of state, anisotropy, and linearly varying deceleration parameters to obtain the exact solutions of field equations in Lyra theory. When switching from the anisotropic universe model to the isotropic universe model, the magnetic field was not observed in the LRS Bianchi I universe. Besides, the graphs of the dynamic quantities obtained for each universe model were analyzed in detail. Finally, we inquire whether further research should be conducted.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"37 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131842188","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
Construction of Analytical Solutions to the Conformable New (3+1)-Dimensional Shallow Water Wave Equation 合形新(3+1)维浅水波动方程解析解的构造
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1265715
M. Şenol, Mehmet Gençyi̇ği̇t
{"title":"Construction of Analytical Solutions to the Conformable New (3+1)-Dimensional Shallow Water Wave Equation","authors":"M. Şenol, Mehmet Gençyi̇ği̇t","doi":"10.53570/jnt.1265715","DOIUrl":"https://doi.org/10.53570/jnt.1265715","url":null,"abstract":"This study investigates the new (3+1)-dimensional shallow water wave equation. To do so, the definitions of conformable derivatives and their descriptions are given. Using the Riccati equation and modified Kudryashov methods, exact solutions to this problem are discovered. The gathered data's contour plot surfaces and related 3D and 2D surfaces emphasize the result's physical nature. To monitor the problem's physical activity, exact and complete solutions are necessary. The results demonstrate the potential applicability of additional nonlinear physical models from mathematical physics and under-investigation in real-world settings. In order to solve fractional differential equations, it may prove helpful to use these methods in various situations.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"98 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134110158","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: 3
On the Orbit Problem of Free Lie Algebras 自由李代数的轨道问题
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1284897
Zeynep YAPTI ÖZKURT
{"title":"On the Orbit Problem of Free Lie Algebras","authors":"Zeynep YAPTI ÖZKURT","doi":"10.53570/jnt.1284897","DOIUrl":"https://doi.org/10.53570/jnt.1284897","url":null,"abstract":"By operationalizing $F_{n}$ as a free Lie Algebra of finite rank $n$, this work considers the orbit problem for $F_{n}$. The orbit problem is the following: given an element $uin F_{n}$ and a finitely generated subalgebra $H$ of $F_{n}$, does $H$ meet the orbit of $u$ under the automorphism group $Aut F_{n}$ of $F_{n}$? It is proven that the orbit problem is decidable for finite rank $n$, $ngeqslant2$. Furthermore, we solve a particular instance of the problem -- i.e., whether $H$ contains a primitive element of $F_{n}$. In addition, some applications are provided. Finally, the paper inquires the need for further research.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"44 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129257133","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
Exact Solutions of Some Basic Cardiovascular Models by Kashuri Fundo Transform 用Kashuri Fundo变换求心血管基本模型的精确解
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1267202
H. Peker, F. Çuha
{"title":"Exact Solutions of Some Basic Cardiovascular Models by Kashuri Fundo Transform","authors":"H. Peker, F. Çuha","doi":"10.53570/jnt.1267202","DOIUrl":"https://doi.org/10.53570/jnt.1267202","url":null,"abstract":"Differential equations refer to the mathematical modeling of phenomena in various applied fields, such as engineering, physics, chemistry, astronomy, biology, psychology, finance, and economics. The solutions of these models can be more complicated than those of algebraic equations. Therefore, it is convenient to use integral transformations to attain the solutions of these models. In this study, we find exact solutions to two cardiovascular models through an integral transformation, namely the Kashuri Fundo transform. It can be observed that the considered transform is a practical, reliable, and easy-to-use method for obtaining solutions to differential equations.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121334008","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
Homoderivations in Prime Rings 素环上的同导
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1258402
Ayşe Engi̇n, Neşet Aydin
{"title":"Homoderivations in Prime Rings","authors":"Ayşe Engi̇n, Neşet Aydin","doi":"10.53570/jnt.1258402","DOIUrl":"https://doi.org/10.53570/jnt.1258402","url":null,"abstract":"The study consists of two parts. The first part shows that if $h_{1}(x)h_{2}(y)=h_{3}(x)h_{4}(y)$, for all $x,yin R$, then $ h_{1}=h_{3}$ and $h_{2}=h_{4}$. Here, $h_{1},h_{2},h_{3},$ and $h_{4}$ are zero-power valued non-zero homoderivations of a prime ring $R$. Moreover, this study provide an explanation related to $h_{1}$ and $h_{2}$ satisfying the condition $ah_{1}+h_{2}b=0$. The second part shows that $Lsubseteq Z$ if one of the following conditions is satisfied: $i. h(L)=(0)$, $ ii. h(L)subseteq Z$, $iii. h(xy)=xy$, for all $x,yin L$, $iv. h(xy)=yx$, for all $x,yin L$, or $v. h([x,y])=0$, and for all $x,yin L$. Here, $R$ is a prime ring with a characteristic other than $2$, $h$ is a homoderivation of $R$, and $L$ is a non-zero square closed Lie ideal of $R$.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"99 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124310498","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 Soft Normed Quasilinear Spaces 关于软赋范拟线性空间
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1234191
F. Bulak, Hacer Bozkurt
{"title":"On Soft Normed Quasilinear Spaces","authors":"F. Bulak, Hacer Bozkurt","doi":"10.53570/jnt.1234191","DOIUrl":"https://doi.org/10.53570/jnt.1234191","url":null,"abstract":"In this study, we investigate some properties of soft quasi-sequences and present new results. We then study the completeness of soft normed quasilinear space and present an analog of convergence and boundness results of soft quasi sequences in soft normed quasilinear spaces. Moreover, we define regular and singular subspaces of soft quasilinear spaces and draw several conclusions related to these notions. Afterward, we provide examples of these results in soft normed quasilinear spaces generalizing well-known results in soft linear normed spaces. Additionally, we offer new results concerning soft quasi subspaces of soft normed quasilinear spaces. Finally, we discuss the need for further research.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"165 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122983607","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
Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations 分数阶Fredholm积分微分方程的Chebyshev配点法
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1260801
Dilek Varol
{"title":"Chebyshev Collocation Method for the Fractional Fredholm Integro-Differential Equations","authors":"Dilek Varol","doi":"10.53570/jnt.1260801","DOIUrl":"https://doi.org/10.53570/jnt.1260801","url":null,"abstract":"In this study, Chebyshev polynomials have been applied to construct an approximation method to attain the solutions of the linear fractional Fredholm integro-differential equations (IDEs). By this approximation method, the fractional IDE has been transformed into a linear algebraic equations system with the aid of the collocation points. In the method, the conformable fractional derivatives of the Chebyshev polynomials have been calculated in terms of the Chebyshev polynomials. Using the results of these calculations, the matrix relation for the conformable fractional derivatives of Chebyshev polynomials was attained for the first time in the literature. After that, the matrix forms have been replaced with the corresponding terms in the given fractional integro-differential equation, and the collocation points have been used to have a linear algebraic system. Furthermore, some numerical examples have been presented to demonstrate the preciseness of the method. It is inferable from these examples that the solutions have been obtained as the exact solutions or approximate solutions with minimum errors.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"760 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133084931","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 Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces 关于g -锥度量空间与g -度量空间等价性的一个注记
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1277026
A. Das, T. Bag
{"title":"A Note on Equivalence of G-Cone Metric Spaces and G-Metric Spaces","authors":"A. Das, T. Bag","doi":"10.53570/jnt.1277026","DOIUrl":"https://doi.org/10.53570/jnt.1277026","url":null,"abstract":"This paper contains the equivalence between tvs-G cone metric and G-metric using a scalarization function $zeta_p$, defined over a locally convex Hausdorff topological vector space. This function ensures that most studies on the existence and uniqueness of fixed-point theorems on G-metric space and tvs-G cone metric spaces are equivalent. We prove the equivalence between the vector-valued version and scalar-valued version of the fixed-point theorems of those spaces. Moreover, we present that if a real Banach space is considered instead of a locally convex Hausdorff space, then the theorems of this article extend some results of G-cone metric spaces and ensure the correspondence between any G-cone metric space and the G-metric space.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"34 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"121040489","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 Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces 直觉模糊度量空间中二重序列的统计收敛性
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1230368
Ahmet Özcan, Gökay Karabacak, Sevcan Bulut, A. Or
{"title":"Statistical Convergence of Double Sequences in Intuitionistic Fuzzy Metric Spaces","authors":"Ahmet Özcan, Gökay Karabacak, Sevcan Bulut, A. Or","doi":"10.53570/jnt.1230368","DOIUrl":"https://doi.org/10.53570/jnt.1230368","url":null,"abstract":"Statistical convergence has been a prominent research area in mathematics since this concept was independently introduced by Fast and Steinhaus in 1951. Afterward, the statistical convergence of double sequences in metric spaces and fuzzy metric spaces has been widely studied. The main goal of the present study is to introduce the concepts of statistical convergence and statistical Cauchy for double sequences in intuitionistic fuzzy metric spaces. Moreover, this study characterizes the statistical convergence of a double sequence by an ordinary convergent of a subsequence of the double sequence. Besides, the current study theoretically contributes to the mentioned concepts and investigates some of their basic properties. Finally, the paper handles whether the aspects should be further investigated.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"59 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123921995","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
Cofinitely Goldie*-Supplemented Modules
Journal of New Theory Pub Date : 2023-06-30 DOI: 10.53570/jnt.1260505
Ayşe Tuğba Güroğlu
{"title":"Cofinitely Goldie*-Supplemented Modules","authors":"Ayşe Tuğba Güroğlu","doi":"10.53570/jnt.1260505","DOIUrl":"https://doi.org/10.53570/jnt.1260505","url":null,"abstract":"One of the generalizations of supplemented modules is the Goldie*-supplemented module, defined by Birkenmeier et al. using $beta^{ast}$ relation. In this work, we deal with the concept of the cofinitely Goldie*-supplemented modules as a version of Goldie*-supplemented module. A left $R$-module $M$ is called a cofinitely Goldie*-supplemented module if there is a supplement submodule $S$ of $M$ with $Cbeta^{ast}S$, for each cofinite submodule $C$ of $M$. Evidently, Goldie*-supplemented are cofinitely Goldie*-supplemented. Further, if $M$ is cofinitely Goldie*-supplemented, then $M/C$ is cofinitely Goldie*-supplemented, for any submodule $C$ of $M$. If $A$ and $B$ are cofinitely Goldie*-supplemented with $M=Aoplus B$, then $M$ is cofinitely Goldie*-supplemented. Additionally, we investigate some properties of the cofinitely Goldie*-supplemented module and compare this module with supplemented and Goldie*-supplemented modules.","PeriodicalId":347850,"journal":{"name":"Journal of New Theory","volume":"9 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127603855","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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