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Tamkang Journal of Mathematics最新文献

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Various new traveling wave solutions for conformable time-fractional Sasa-Satsuma equation 共形时间分数萨萨摩方程的各种新行波解
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2023-11-30 DOI: 10.5556/j.tkjm.55.2024.5158
Medjahed Djilali, Khellaf Ould Melha, V. L. Chinchane
{"title":"Various new traveling wave solutions for conformable time-fractional Sasa-Satsuma equation","authors":"Medjahed Djilali, Khellaf Ould Melha, V. L. Chinchane","doi":"10.5556/j.tkjm.55.2024.5158","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5158","url":null,"abstract":"In this paper, the extended Jacobi elliptic function expansion method is applied to conformable time-fractional Sasa-Satsumaequation. Variety of new traveling wave solutions are constructed. Thanks to the Mathematica software package, to interprete the behavior of some particular exact solutions, surfaces and contour plots are plotted.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"30 23","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139205605","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
Common solutions of fixed point and generalized equilibrium problems using asymptotically nonexpansive mapping 利用渐近非扩张映射的不动点和广义平衡问题的公共解
Tamkang Journal of Mathematics Pub Date : 2023-11-14 DOI: 10.5556/j.tkjm.55.2024.5172
Pradeep Kumar, Anju Panwar
{"title":"Common solutions of fixed point and generalized equilibrium problems using asymptotically nonexpansive mapping","authors":"Pradeep Kumar, Anju Panwar","doi":"10.5556/j.tkjm.55.2024.5172","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5172","url":null,"abstract":"In this paper, a common solution of fixed point and generalized equilibrium problems using an asymptotically nonexpansive mapping is determined via iterative approach. Further, an application and numerical example of the main result are given.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"84 5","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-11-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134901559","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
Mathematical modeling and optimal control of a deterministic SHATR model of HIV/AIDS with possibility of rehabilitation: a dynamic analysis 具有康复可能性的HIV/AIDS确定性SHATR模型的数学建模和最优控制:动态分析
Tamkang Journal of Mathematics Pub Date : 2023-09-28 DOI: 10.5556/j.tkjm.55.2024.5109
Pankaj Singh Rana, Nitin Sharma, Anupam Priyadarshi
{"title":"Mathematical modeling and optimal control of a deterministic SHATR model of HIV/AIDS with possibility of rehabilitation: a dynamic analysis","authors":"Pankaj Singh Rana, Nitin Sharma, Anupam Priyadarshi","doi":"10.5556/j.tkjm.55.2024.5109","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5109","url":null,"abstract":"In the present work, we developed a deterministic SHATR (Susceptible - HIV infected -AIDS infected - Antiretroviral Treatment - Recovered) compartment model for HIV/AIDS. This model considers the disease outbreak due to a lack of awareness and treatment. The steady states of the proposed model system are obtained and analyzed by using the nonlinear stability theory of differential equations. The basic reproduction number is derived and explored to determine the stability and sensitivity index of some important relative parameters. Further, to know the global behavior of the model one parameter bifurcation study is discussed. Moreover, the optimal control theory has been applied to identify the optimal strategy by taking treatment and awareness for safe intercourse as control parameters. The control problem is solved analytically by using Pontryagin’s maximum principle. Finally, the model is simulated to describe the optimality under various assumptions and the stability of equilibrium points.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"74 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135469938","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 fixed point results for nonlinear $F$-type contractions in strong partial b-metric spaces 强偏b-度量空间中非线性$F$型压缩的不动点结果
Tamkang Journal of Mathematics Pub Date : 2023-09-01 DOI: 10.5556/j.tkjm.55.2024.5145
None Savita Rathee, None Neelam Kumari, Monika Swami
{"title":"Some fixed point results for nonlinear $F$-type contractions in strong partial b-metric spaces","authors":"None Savita Rathee, None Neelam Kumari, Monika Swami","doi":"10.5556/j.tkjm.55.2024.5145","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5145","url":null,"abstract":"In this article, we demonstrate some fixed point results that generalises the Banachcontraction principle in a different way from the previously established literature findings. Weprovide some fixed point findings for non linear F type contractions in Strong Partial b-MetricSpaces (SPbMS). We also include some examples that demonstrates the applicability of ourfindings.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135686330","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
$n$-harmonicity, minimality, conformality and cohomology $n$-谐和性，最小性，一致性和上同源性
Tamkang Journal of Mathematics Pub Date : 2023-08-30 DOI: 10.5556/j.tkjm.55.2024.5118
Bang-Yen Chen, Shihshu Walter Wei
{"title":"$n$-harmonicity, minimality, conformality and cohomology","authors":"Bang-Yen Chen, Shihshu Walter Wei","doi":"10.5556/j.tkjm.55.2024.5118","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5118","url":null,"abstract":"
 
 
 By studying cohomology classes that are related with n-harmonic morphisms and F-harmonic maps, we augment and extend several results on F-harmonic maps, harmonic maps in [1, 3, 14], p-harmonic morphisms in [17], and also revisit our previous results in [9, 10, 21] on Riemannian submersions and n-harmonic morphisms which are submersions. The results, for example Theorem 3.2 obtaine by utilizing the n-conservation law (2.6), are sharp.
 
 
","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"29 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136162288","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
Asymptotic behaviour of the Einstein-Yang-Mills-Higgs system in a Bianchi type I model Bianchi I型模型中Einstein-Yang-Mills-Higgs系统的渐近行为
Tamkang Journal of Mathematics Pub Date : 2023-08-25 DOI: 10.5556/j.tkjm.55.2024.5127
Abel Nguelemo Kenfack, Francis Etienne Djiofack, David Dongo, Remy Magloire Etoua
{"title":"Asymptotic behaviour of the Einstein-Yang-Mills-Higgs system in a Bianchi type I model","authors":"Abel Nguelemo Kenfack, Francis Etienne Djiofack, David Dongo, Remy Magloire Etoua","doi":"10.5556/j.tkjm.55.2024.5127","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5127","url":null,"abstract":"We study the Einstein-Yang-Mills-Higgs (EYMH) system with a positive cosmological constant in the Bianchi type I space-time with locally rotational symmetry (LRS). In particular, we consider the nonlinear interaction of the Higgs field with the Yang-Mills field coupled to an unknown gravitational field. For the considered model, from certain additional conditions (the temporal gauge and some symmetries), we derive the conservation laws for the field equations and we then deduce the exact formulation of equations in the geometric framework. Furthermore, using an iterative approch and some mathematical analysis tools, we study the above system of equations. We then establish a global existence result for the homogeneous solution and we analyse its asymptotic behaviour.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"38 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-08-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"134930675","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
Variational approach to impulsive Neumann problems with variable exponents and two parameters 变指数双参数脉冲Neumann问题的变分方法
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2023-07-07 DOI: 10.5556/j.tkjm.55.2024.5134
Arezoo Solimaninia, G. Afrouzi, H. Haghshenas
{"title":"Variational approach to impulsive Neumann problems with variable exponents and two parameters","authors":"Arezoo Solimaninia, G. Afrouzi, H. Haghshenas","doi":"10.5556/j.tkjm.55.2024.5134","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5134","url":null,"abstract":"Based on the variational methods and critical-point theory, we are concerned with the existence results for a second-order impulsive boundary value problem involving an ordinary differential equation with $p(x)$-Laplacian operator, and Neumann conditions.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"46 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-07-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80008295","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 numerical radius of an upper triangular operator matrix 上三角算子矩阵的数值半径
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2023-07-05 DOI: 10.5556/j.tkjm.55.2023.5094
Mehdi Naimi, M. Benharrat
{"title":"On the numerical radius of an upper triangular operator matrix","authors":"Mehdi Naimi, M. Benharrat","doi":"10.5556/j.tkjm.55.2023.5094","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2023.5094","url":null,"abstract":"The main purpose of this paper is to give an improvement of numerical radius inequality for an upper triangular operator matrix.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"2 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-07-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75858976","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 unique continuation result for a system of nonlinear differential equations 一类非线性微分方程组的唯一延拓结果
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2023-05-22 DOI: 10.5556/j.tkjm.55.2024.5126
Alex M. Montes, Ricardo Córdoba
{"title":"A unique continuation result for a system of nonlinear differential equations","authors":"Alex M. Montes, Ricardo Córdoba","doi":"10.5556/j.tkjm.55.2024.5126","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5126","url":null,"abstract":"Using an appropriate Carleman-type estimate, we establish a result of unique continuation for a special class of one-dimensional systems that model the evolution of long water waves with small amplitude in the presence of surface tension.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"92 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-05-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83596170","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 statistical submersions 统计淹没的研究
IF 0.6
Tamkang Journal of Mathematics Pub Date : 2023-05-17 DOI: 10.5556/j.tkjm.55.2024.5044
A. Siddiqui, K. Ahmad
{"title":"A study of statistical submersions","authors":"A. Siddiqui, K. Ahmad","doi":"10.5556/j.tkjm.55.2024.5044","DOIUrl":"https://doi.org/10.5556/j.tkjm.55.2024.5044","url":null,"abstract":"In the sixties, A. Gray cite{Gr} and B. O'Neill cite{O1} come with the notion of Riemannian submersions as a tool to study the geometry of a Riemannian manifold with an additional structure in terms of the fibers and the base space. Riemannian submersions have long been an effective tool to construct Riemannian manifolds with positive or nonnegative sectional curvature in Riemannian geometry and compare certain manifolds within differential geometry. In particular, many examples of Einstein manifolds can be constructed by using such submersions. It is very well known that Riemannian submersions have applications in physics, for example Kaluza-Klein theory, Yang-Mills theory, supergravity and superstring theories.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":"1 1","pages":""},"PeriodicalIF":0.6,"publicationDate":"2023-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76255002","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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