Afrika Matematika最新文献

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A class of (vartheta )-bi-pseudo-starlike functions with respect to symmetric points associated with Telephone numbers 一类关于与电话数相关的对称点的((vartheta)-bi-伪星形函数
IF 1.1
Afrika Matematika Pub Date : 2024-01-02 DOI: 10.1007/s13370-023-01159-0
G. Murugusundaramoorthy, N. E. Cho, K. Vijaya
{"title":"A class of (vartheta )-bi-pseudo-starlike functions with respect to symmetric points associated with Telephone numbers","authors":"G. Murugusundaramoorthy,&nbsp;N. E. Cho,&nbsp;K. Vijaya","doi":"10.1007/s13370-023-01159-0","DOIUrl":"10.1007/s13370-023-01159-0","url":null,"abstract":"<div><p>In this paper we introduce a new class of <span>(vartheta )</span>-bi-pseudo-starlike functions with respect to symmetric points associated with telephone numbers and determine the bounds of the initial Taylor–Maclaurin coefficients and the Fekete–Szegö problem for functions belonging to this class. Some special cases of main results presented here are stated which are new and give better improvement to the initial Taylor-Maclaurin coefficients.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139081479","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 analysis for the dynamics of snakebite envenoming 蛇咬伤中毒动态的数学分析
IF 1.1
Afrika Matematika Pub Date : 2023-12-28 DOI: 10.1007/s13370-023-01156-3
Shuaibu Ahijo Abdullahi, Abdulrazaq Garba Habib, Nafiu Hussaini
{"title":"Mathematical analysis for the dynamics of snakebite envenoming","authors":"Shuaibu Ahijo Abdullahi,&nbsp;Abdulrazaq Garba Habib,&nbsp;Nafiu Hussaini","doi":"10.1007/s13370-023-01156-3","DOIUrl":"10.1007/s13370-023-01156-3","url":null,"abstract":"<div><p>A mechanistic model that incorporates public health enlightenment, treatment, and snake developmental stages is developed and rigorously analyzed. The model is used to gain more insights into the dynamics and control of snakebite envenoming (SBE). Some interesting equilibrium points that demonstrate the presence and absence of snakes in a given population were computed. It has been shown that the existence or extinction of snakes in a given community depends on snake existence threshold (R<sub>S</sub>). Whenever the threshold is greater than one, snakes exist in the community, while if the threshold is exactly equal to one, then snakes seize to exist. Furthermore, a rigorous qualitative study of the model revealed that each of the snake-free, SBE-free, and SBE-endemic equilibrium points is globally asymptotically stable. In addition, a sensitivity analysis of the model parameters was conducted in order to identify the most influential parameters on SBE transmission dynamics. It is shown that an effective contact rate is the most important parameter. Therefore, preventive strategies that focus on reducing contact between humans and snakes, such as the use of snakebite repellent and protective gloves, are very important in controlling SBE. Finally, simulations have indicated that public health education on the use of snakebite preventive measures in combination with treatment of SBE victims is critical in reducing the number of new cases and deaths, respectively.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139081480","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 hyperstructural approach to chemical reactions as mathematical Models 将化学反应作为数学模型的超结构方法
IF 1.1
Afrika Matematika Pub Date : 2023-12-27 DOI: 10.1007/s13370-023-01152-7
S. Ostadhadi-Dehkordi, S. Abdizadeh, F. Hamrahzadeh
{"title":"A hyperstructural approach to chemical reactions as mathematical Models","authors":"S. Ostadhadi-Dehkordi,&nbsp;S. Abdizadeh,&nbsp;F. Hamrahzadeh","doi":"10.1007/s13370-023-01152-7","DOIUrl":"10.1007/s13370-023-01152-7","url":null,"abstract":"<div><p>The concept of weak algebraic hyperstrutures onstitutes a generalization of the well-known algebraic hyperstrutures. A motivation for the study of hyperstructures comes from chemical reactions. By redox reactions on <span>(Sn, F e, T i, Co, M n, Am)</span> and <span>(Cu)</span>, we provide hypergroups, hypergraphs and mathematical model for these redox reactions.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139041330","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
HOBi-CGSTAB and HOBi-CRSTAB methods for solving some tensor equations 求解某些张量方程的 HOBi-CGSTAB 和 HOBi-CRSTAB 方法
IF 1.1
Afrika Matematika Pub Date : 2023-12-12 DOI: 10.1007/s13370-023-01155-4
Eisa Khosravi Dehdezi
{"title":"HOBi-CGSTAB and HOBi-CRSTAB methods for solving some tensor equations","authors":"Eisa Khosravi Dehdezi","doi":"10.1007/s13370-023-01155-4","DOIUrl":"10.1007/s13370-023-01155-4","url":null,"abstract":"<div><p>Recently, solving tensor equations (or multilinear systems) has attracted a lot of attention. This paper investigates the tensor form of the Bi-CGSTAB and Bi-CRSTAB methods, by employing Kronecker product, vectorization, and bilinear operator, to solve the generalized coupled Sylvester tensor equations <span>(sum _{i=1}^{n}({mathcal {X}}times _1A_{i1}times _2A_{i2}+mathcal Ytimes _1B_{i1}times _2B_{i2})={mathcal {E}}_1,~sum _{i=1}^{n}(mathcal Xtimes _1C_{i1}times _2C_{i2}+mathcal Ytimes _1D_{i1}times _2D_{i2})={mathcal {E}}_2,)</span> with no matricization. Also some properties of the new methods are presented. By applying multilinear operator, the proposed methods are extended to the general form. Some numerical examples are provided to compare the efficiency of the investigated methods with some existing popular algorithms. Finally, some concluding remarks are given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138570816","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
Smooth deformation of holomorphic sections of a riemannian almost hermitian fiber bundle through harmonic sections 通过谐波截面对里曼几乎全息纤维束的全形截面进行平滑变形
IF 1.1
Afrika Matematika Pub Date : 2023-12-12 DOI: 10.1007/s13370-023-01144-7
Aristide Ayibe, Moussa Kourouma
{"title":"Smooth deformation of holomorphic sections of a riemannian almost hermitian fiber bundle through harmonic sections","authors":"Aristide Ayibe,&nbsp;Moussa Kourouma","doi":"10.1007/s13370-023-01144-7","DOIUrl":"10.1007/s13370-023-01144-7","url":null,"abstract":"<div><p>In this paper we give in the context of sections of a (<i>Riemannian</i>) almost Hermitian fiber bundle a reformulation of a theory of deformation linked to harmonic maps between almost Hermitian manifolds developped by A. Lichnerowicz.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138570834","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 relations between continuous generalized frames 连续广义框架之间的一些关系
IF 1.1
Afrika Matematika Pub Date : 2023-12-08 DOI: 10.1007/s13370-023-01157-2
Hafida Massit, Mohamed Rossafi, Choonkil Park
{"title":"Some relations between continuous generalized frames","authors":"Hafida Massit,&nbsp;Mohamed Rossafi,&nbsp;Choonkil Park","doi":"10.1007/s13370-023-01157-2","DOIUrl":"10.1007/s13370-023-01157-2","url":null,"abstract":"<div><p>Generalized frames are natural generalizations of frames. The computation of distances between frames is a crucial concept in frame theory. In this paper we give some basic definitions and results on continuous frames, continuous <i>g</i>-frames, equivalence relations and distances between continuous <i>g</i>-frames. Furthermore, we introduce some equivalency relations between continuous <i>g</i>-frames for a Hilbert space and closed subspaces of <span>(L^{2}({mathfrak {A}}))</span>, and we define a distance between continuous <i>g</i>-frames. Finally, we define a new metric on the set of near continuous <i>g</i>-frames and investigate some of its properties.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138558125","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
Forced Burgers equation with sticky impulsion source 带有粘性推进源的强制布尔格斯方程
IF 1.1
Afrika Matematika Pub Date : 2023-12-08 DOI: 10.1007/s13370-023-01150-9
Florent Nzissila, Octave Moutsinga
{"title":"Forced Burgers equation with sticky impulsion source","authors":"Florent Nzissila,&nbsp;Octave Moutsinga","doi":"10.1007/s13370-023-01150-9","DOIUrl":"10.1007/s13370-023-01150-9","url":null,"abstract":"<div><p>We consider the inviscid Burgers equation with force <span>(partial _t u+partial _x(u^2/2)=nu )</span>, where the discontinuities of initial datum <span>(u_0)</span> are interpreted as <i>force sources.</i> Thence, <span>(nu )</span> is the force of shocks in a sticky dynamics of (paradoxically) non accelerated particles, whose the mass distribution field is <span>(partial _xu)</span>. The force has its own dynamics of density field <span>(eta =u-w)</span> (the experienced impulsion), where <i>w</i> denotes the sticky particle velocity field. Along the sticky particle trajectory <span>(tmapsto X_t)</span>, the processes <span>(tmapsto eta (X_t,t),u(X_t,t),w(X_t,t))</span> are backward martingales.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138558111","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
(mu )-Pseudo almost periodic solutions to some semilinear boundary equations on networks 网络上一些半线性边界方程的伪近周期解
IF 1.1
Afrika Matematika Pub Date : 2023-12-07 DOI: 10.1007/s13370-023-01148-3
Thami Akrid, Mahmoud Baroun
{"title":"(mu )-Pseudo almost periodic solutions to some semilinear boundary equations on networks","authors":"Thami Akrid,&nbsp;Mahmoud Baroun","doi":"10.1007/s13370-023-01148-3","DOIUrl":"10.1007/s13370-023-01148-3","url":null,"abstract":"<div><p>This work deals with the existence and uniqueness of <span>(mu )</span>-pseudo almost periodic solutions to some transport processes along the edges of a finite network with inhomogeneous conditions in the vertices. For that, the strategy consists of seeing these systems as a particular case of the semilinear boundary evolution equations </p><div><div><span>$$begin{aligned} (SHBE);{left{ begin{array}{ll} displaystyle {frac{du}{dt}} &amp;{}= A_{m} u(t)+f(t,u(t)),quad tin {mathbb {R}}, L u(t)&amp;{} = g(t,u(t)) ,quad t in {mathbb {R}}, end{array}right. } end{aligned}$$</span></div></div><p>where <span>(A:= A_m|ker L)</span> generates a C<span>(_0)</span>-semigroup admitting an exponential dichotomy on a Banach space. Assuming that the forcing terms taking values in a state space and in a boundary space respectively are only <span>(mu )</span>-pseudo almost periodic in the sense of Stepanov, we show that (<i>SHBE</i>) has a unique <span>(mu )</span>-pseudo almost periodic solution which satisfies a variation of constant formula. Then we apply the previous result to obtain the existence and uniqueness of <span>(mu )</span>-pseudo almost periodic solution to our model of network.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138558146","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 a family of bivariate orthogonal functions 关于双变量正交函数族
IF 1.1
Afrika Matematika Pub Date : 2023-12-06 DOI: 10.1007/s13370-023-01147-4
Esra Güldoğan Lekesiz
{"title":"On a family of bivariate orthogonal functions","authors":"Esra Güldoğan Lekesiz","doi":"10.1007/s13370-023-01147-4","DOIUrl":"10.1007/s13370-023-01147-4","url":null,"abstract":"<div><p>In this paper we investigate a family of bivariate orthogonal functions arising as a generalization of Koornwinder polynomials in two variables. General properties like recurrence relations and partial differential equations are introduced. Some special cases are considered and a limit relation of these functions is studied. As a consequence, a new class of bivariate orthogonal polynomials is presented.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138558120","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
To study the hyperbolic annular fin with temperature dependent thermal conductivity via optimized Chebyshev polynomials with interior point algorithm 利用优化切比雪夫多项式和内点算法研究具有温度相关导热系数的双曲环形翅片
IF 1.1
Afrika Matematika Pub Date : 2023-11-30 DOI: 10.1007/s13370-023-01151-8
Mahdi Keshtkar, Elyas Shivanian
{"title":"To study the hyperbolic annular fin with temperature dependent thermal conductivity via optimized Chebyshev polynomials with interior point algorithm","authors":"Mahdi Keshtkar,&nbsp;Elyas Shivanian","doi":"10.1007/s13370-023-01151-8","DOIUrl":"10.1007/s13370-023-01151-8","url":null,"abstract":"<div><p>In this paper, the problem of an annular fin of hyperbolic profile with temperature dependent thermal conductivity is discussed. A novel intelligent computational approach is developed for searching the solution. In order to achieve this aim, the governing equation is transformed into an equivalent problem whose boundary conditions are such that they are convenient to apply reformed version of Chebyshev polynomials of the first kind. These Chebyshev polynomials based functions construct approximate series solution with unknown weights. The mathematical formulation of optimization problem consists of an unsupervised error which is minimized by tuning weights via interior point method. The trial approximate solution is validated by imposing tolerance constrained into optimization problem. Furthermore, a more accurate discussion of the effect of fin dimensions, surface convection characteristics and the thermal conductivity parameter on the thermal performance of the fin is graphically presented.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2023-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138468332","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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