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Turkish Journal of Mathematics and Computer Science最新文献

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The existence of positive solutions for the Caputo-Fabrizio fractional boundary value problems at resonance Caputo-Fabrizio分数边值问题在共振处正解的存在性
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-02-13 DOI: 10.47000/tjmcs.1190935
Şuayip Toprakseven
{"title":"The existence of positive solutions for the Caputo-Fabrizio fractional boundary value problems at resonance","authors":"Şuayip Toprakseven","doi":"10.47000/tjmcs.1190935","DOIUrl":"https://doi.org/10.47000/tjmcs.1190935","url":null,"abstract":"This paper deals with a class of nonlinear fractional boundary value problems at resonance with Caputo-Fabrizio fractional derivative. We establish some necessary conditions for the existence of positive solutions by using the Leggett-Williams norm-type theorem for coincidences. Some examples are constructed to support our results.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"123 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122494301","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 Minus Partial Order On Endomorphism Rings 自同态环上的负偏序
Turkish Journal of Mathematics and Computer Science Pub Date : 2023-01-31 DOI: 10.47000/tjmcs.1214202
Tufan Özdi̇n
{"title":"The Minus Partial Order On Endomorphism Rings","authors":"Tufan Özdi̇n","doi":"10.47000/tjmcs.1214202","DOIUrl":"https://doi.org/10.47000/tjmcs.1214202","url":null,"abstract":"Let $S=End(M)$ be the ring of endomorphisms of a right $R$-module M. In this paper we define the minus parital order for the endomorphism ring of modules. Also, we extend study of minus partial order to the endomorphism ring of a (Rickart) module. Thus several well-known results concerning minus partial order are generalized.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"254 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"126050229","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
An Extension of the Adams-type Theorem to the Vanishing Generalized Weighted Morrey Spaces adams型定理在消失广义加权Morrey空间中的推广
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-12-29 DOI: 10.47000/tjmcs.1004212
Abdulhamit Küçükaslan
{"title":"An Extension of the Adams-type Theorem to the Vanishing Generalized Weighted Morrey Spaces","authors":"Abdulhamit Küçükaslan","doi":"10.47000/tjmcs.1004212","DOIUrl":"https://doi.org/10.47000/tjmcs.1004212","url":null,"abstract":"In this paper, we generalize Adams-type theorems given in [1,13] (which are the following Theorem A and Theorem B, respectively) to the vanishing generalized weighted Morrey spaces. We prove the Adams-type boundedness of the generalized fractional maximal operator $M_{rho}$ from the vanishing generalized weighted Morrey spaces $mathcal{mathcal{VM}}_{p,varphi^{frac{1}{p}}}(mathbb{R}^n, w)$ to another one $mathcal{mathcal{VM}}_{q,varphi^{frac{1}{q}}}(mathbb{R}^n, w)$ with $w in A_{p,q}$ for $1$","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"28 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123057821","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
Notes about an anti-paraHermitian metric connections 关于反parahermite度量连接的注意事项
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-12-19 DOI: 10.47000/tjmcs.1176117
A. Zagane
{"title":"Notes about an anti-paraHermitian metric connections","authors":"A. Zagane","doi":"10.47000/tjmcs.1176117","DOIUrl":"https://doi.org/10.47000/tjmcs.1176117","url":null,"abstract":"In the present paper firstly, we introduce classes of anti-paraK\"{a}hler-Codazzi manifolds and we discuss the problem of integrability for almost paracomplex structures on thes manifolds. Secondly, we introduce a new classes of anti-paraHermitian manifolds associated with these anti-paraHermitian metric connections with torsion, we look for the conditions in which it becomes are anti-paraK\"{a}hler manifolds or anti-paraK\"{a}hler-Codazzi manifolds.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"39 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122889421","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
Fibonacci collocation method for solving a class of nonlinear differential equations 用斐波那契搭配法求解一类非线性微分方程
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-11-24 DOI: 10.47000/tjmcs.960168
M. Çakmak, Sertan Alkan
{"title":"Fibonacci collocation method for solving a class of nonlinear differential equations","authors":"M. Çakmak, Sertan Alkan","doi":"10.47000/tjmcs.960168","DOIUrl":"https://doi.org/10.47000/tjmcs.960168","url":null,"abstract":"In this study, a collocation method based on Fibonacci polynomials is used for approximately solving a class of nonlinear differential equations with initial conditions. The problem is firstly reduced into a nonlinear algebraic system via collocation points, later the unknown coefficients of the approximate solution function are calculated. Also, some problems are presented to test the performance of the proposed method by using error functions. Additionally, the obtained numerical results are compared with exact solutions of the test problems and approximate ones obtained with other methods in literature.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"120 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-11-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127099091","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 Quaternionic Bertrand Curves in Euclidean $3$-Space 欧几里得$3$-空间中的四元Bertrand曲线
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-10-11 DOI: 10.47000/tjmcs.1021801
Aykut Has, B. Yilmaz
{"title":"On Quaternionic Bertrand Curves in Euclidean $3$-Space","authors":"Aykut Has, B. Yilmaz","doi":"10.47000/tjmcs.1021801","DOIUrl":"https://doi.org/10.47000/tjmcs.1021801","url":null,"abstract":"In this article, spatial quaternionic Bertrand curve pairs in the 3-dimensional Euclidean space are examined. Algebraic properties of quaternions, basic definitions and theorems are given. Later, some characterizations of spatial quaternionic Bertrand curve pairs are obtained in the 3-dimensional Euclidean space.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"31 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-10-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124543325","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
Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions $k-$Fibonacci双曲函数的wilker型不等式
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-09-22 DOI: 10.47000/tjmcs.974413
Sure Köme
{"title":"Wilker-type Inequalities for $k-$Fibonacci Hyperbolic Functions","authors":"Sure Köme","doi":"10.47000/tjmcs.974413","DOIUrl":"https://doi.org/10.47000/tjmcs.974413","url":null,"abstract":"In this paper, we introduce the Wilker$-$Anglesio's inequality and parameterized Wilker inequality for the $k-$Fibonacci hyperbolic functions using classical analytical techniques.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"13 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127722687","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 Bertrand Mate of Cubic Bezier Curve by Using Matrix Representation in $mathbf{E}^{3}$ 在$mathbf{E}^{3}$中用矩阵表示三次Bezier曲线的Bertrand配偶
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-09-21 DOI: 10.47000/tjmcs.984372
Ş. Kiliçoglu, S. Şenyurt
{"title":"On the Bertrand Mate of Cubic Bezier Curve by Using Matrix Representation in $mathbf{E}^{3}$","authors":"Ş. Kiliçoglu, S. Şenyurt","doi":"10.47000/tjmcs.984372","DOIUrl":"https://doi.org/10.47000/tjmcs.984372","url":null,"abstract":"In this study we have examined, Bertrand mate of a cubic Bezier curve based on the control points with matrix form in E3. Frenet vector fields and also curvatures of Bertrand mate of the cubic Bezier curve are examined based on the Frenet apparatus of the first cubic Bezier curve in E3.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129678121","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 Third Order Bronze Fibonacci Quaternions 关于三阶青铜斐波那契四元数
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-09-14 DOI: 10.47000/tjmcs.1097599
Jeta Alo
{"title":"On Third Order Bronze Fibonacci Quaternions","authors":"Jeta Alo","doi":"10.47000/tjmcs.1097599","DOIUrl":"https://doi.org/10.47000/tjmcs.1097599","url":null,"abstract":"In this study, we define third order bronze Fibonacci quaternions. We obtain the generating functions, the Binet's formula and some properties of these quaternions. We give d'Ocagne's-like and Cassini's-like identity and we use q-determinants for quaternionic matrices to give the Cassini's identity for third order bronze Fibonacci quaternions.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"30 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131462120","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 Common Fixed Point Theorems in Bipolar Metric Spaces 双极度量空间中的几个公共不动点定理
Turkish Journal of Mathematics and Computer Science Pub Date : 2022-08-29 DOI: 10.47000/tjmcs.1099118
A. Mutlu, K. Özkan, U. Gürdal
{"title":"Some Common Fixed Point Theorems in Bipolar Metric Spaces","authors":"A. Mutlu, K. Özkan, U. Gürdal","doi":"10.47000/tjmcs.1099118","DOIUrl":"https://doi.org/10.47000/tjmcs.1099118","url":null,"abstract":"In this article, we introduce the notion of commutativity for covariant and contravariant mappings in bipolar metric spaces. Afterwards, by using this notion, we prove some common fixed point theorems which show the existence and uniqueness of common fixed point for covariant and contravariant mappings satisfying contractive type conditions.","PeriodicalId":177259,"journal":{"name":"Turkish Journal of Mathematics and Computer Science","volume":"41 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115872978","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: 4
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