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Afrika Matematika最新文献

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A study on the existence of a cooperative search method with reducing the first metting time between one of several nano-sensors and a Brownian particle 关于是否存在一种可缩短若干纳米传感器之一与布朗粒子之间首次相遇时间的合作搜索方法的研究
IF 0.9
Afrika Matematika Pub Date : 2024-03-12 DOI: 10.1007/s13370-024-01173-w
Mohamed Abd Allah El-Hadidy, Alaa Awad Alzulaibani
{"title":"A study on the existence of a cooperative search method with reducing the first metting time between one of several nano-sensors and a Brownian particle","authors":"Mohamed Abd Allah El-Hadidy,&nbsp;Alaa Awad Alzulaibani","doi":"10.1007/s13370-024-01173-w","DOIUrl":"10.1007/s13370-024-01173-w","url":null,"abstract":"<div><p>The coordinated search method for a one-dimensional Brownian particle in the fluid is investigated in this paper. This technique helps to remove pollutants and impurities from the fluid. To locate a Brownian particle that moves along one of n disjoint real lines, we have 2n cooperative nano-sensors coordinate their efforts such that each line contains two of them. All of these nano-sensors begin their searches at the origin. Because of random travelled distances right and left of the origin, we have a random sequence of distances on each line. Due to this uncertainty, we are able to integrate the discounted effort-reward search as a parameter in the distance function. By doing this, the expected value of the first meeting time between one of the nano-sensors and a Brownian particle will be reduced. We determine the approximate value of this expected value in addition to identifying the conditions under which it is finite. We use an example to illustrate the usefulness and application of this model.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411466","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 Lord–Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results 关于具有微温效应的 Lord-Shulman 膨胀多孔热弹性土壤系统：拟合良好性和稳定性结果
IF 0.9
Afrika Matematika Pub Date : 2024-02-19 DOI: 10.1007/s13370-024-01170-z
Abdelbaki Choucha, Salah Boulaaras, Rashid Jan
{"title":"On a Lord–Shulman swelling porous thermo-elastic soils system with microtemperature effect: well-posedness and stability results","authors":"Abdelbaki Choucha,&nbsp;Salah Boulaaras,&nbsp;Rashid Jan","doi":"10.1007/s13370-024-01170-z","DOIUrl":"10.1007/s13370-024-01170-z","url":null,"abstract":"<div><p>This work investigates the well-posedness and stability outcomes of the one-dimensional Cauchy problem within a system involving swelling-porous elastic soils and thermal effects. The heat conduction in this system is described by the Lord–Shulman theory. By the energy method, we establish the existence of solutions and then prove an exponential stability result under suitable hypotheses. Our results were achieved without the need for the condition of equal velocities, and it is also considered a good improvement to our work in the paper (Choucha et al. in Mathematics 11(23):4785, 2023), completely dispensing with any damping term.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139958682","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 direct sums and quotient spaces of near-vector spaces 论近矢量空间的直接和与商空间
IF 0.9
Afrika Matematika Pub Date : 2024-02-13 DOI: 10.1007/s13370-024-01168-7
K. -T. Howell, P. Cara, L. Wessels
{"title":"On direct sums and quotient spaces of near-vector spaces","authors":"K. -T. Howell,&nbsp;P. Cara,&nbsp;L. Wessels","doi":"10.1007/s13370-024-01168-7","DOIUrl":"10.1007/s13370-024-01168-7","url":null,"abstract":"<div><p>In this paper we study the direct sums of subspaces and some constructions of quotient spaces of near-vector spaces, as defined by André. In particular, for near-vector spaces constructed by taking copies of finite fields, we characterise the quasi-kernels of their quotient spaces, find their cardinality and determine when they are regular. In the case of non-regular quotient spaces, we show how they decompose into maximal regular subspaces. We show how the theory of finite-dimensional near-vector spaces constructed from finite fields allows us to reconstruct near-vector spaces with certain quotient spaces.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01168-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139840747","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Invariant approximation in 2-banach space with (H^{+}) mappings 带有 $$H^{+}$ H + 映射的 2-巴拿赫空间中的不变逼近
IF 0.9
Afrika Matematika Pub Date : 2024-02-09 DOI: 10.1007/s13370-024-01169-6
M. Pitchaimani, K. Saravanan
{"title":"Invariant approximation in 2-banach space with (H^{+}) mappings","authors":"M. Pitchaimani,&nbsp;K. Saravanan","doi":"10.1007/s13370-024-01169-6","DOIUrl":"10.1007/s13370-024-01169-6","url":null,"abstract":"<div><p>In order to study the invariant approximation in 2-Banach spaces, we define the concept of <span>( H^{+} )</span> type nonexpansive mapping to investigate the existence and uniqueness of approximation. Using <span>( H^{+} )</span> type non expansive multi-valued mapping in 2-Banach spaces to obtain a generalization of the classical Nadler’s fixed point theorem, also discuss the invariant approximation and prove several new results by replacing multi-valued mapping with <span>( H^{+} )</span> mapping in 2-Banach space.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-02-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139849494","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 bi-bases of ternary semigroups 三元半群的双基研究
IF 0.9
Afrika Matematika Pub Date : 2024-01-30 DOI: 10.1007/s13370-024-01167-8
Akbar Ali, Sabahat Ali Khan, Mohammad Yahya Abbasi
{"title":"A study of bi-bases of ternary semigroups","authors":"Akbar Ali,&nbsp;Sabahat Ali Khan,&nbsp;Mohammad Yahya Abbasi","doi":"10.1007/s13370-024-01167-8","DOIUrl":"10.1007/s13370-024-01167-8","url":null,"abstract":"<div><p>In this paper, we introduce the bi-bases of a ternary semigroup. The results of this paper are based on the bi-ideals generated by a non-empty subset of a ternary semigroup. Moreover, we define the quasi-order relation of a ternary semigroup and study some of their interesting properties.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140481491","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
Symplectic structure and applications on Weil bundles 魏尔束上的交映结构与应用
IF 0.9
Afrika Matematika Pub Date : 2024-01-29 DOI: 10.1007/s13370-024-01166-9
Andre S. E. Mialebama Bouesso, F. Mekiya Moutabanza, Jude R. Bayeni Mitoueni
{"title":"Symplectic structure and applications on Weil bundles","authors":"Andre S. E. Mialebama Bouesso,&nbsp;F. Mekiya Moutabanza,&nbsp;Jude R. Bayeni Mitoueni","doi":"10.1007/s13370-024-01166-9","DOIUrl":"10.1007/s13370-024-01166-9","url":null,"abstract":"<div><p>Let <i>M</i> be a smooth manifold and <i>A</i> a Weil algebra. We introduce and discuss the symplectic structure in the Weil bundle <span>((M^A,pi ,M))</span> and we establish the link between the symplectic structure in <i>M</i> and that in <span>(M^A.)</span> As applications, we discuss Hamiltonian vector fields, symplectic vector fields and poisson structures in both cases.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139591890","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 first integrals, conservation laws and reduction of classes of Emden and Liénard equations 论第一积分、守恒定律以及埃姆登方程和李纳方程的还原类
IF 0.9
Afrika Matematika Pub Date : 2024-01-24 DOI: 10.1007/s13370-023-01163-4
Mogahid M. A. Ahmed, Bader Alqurashi, A. H. Kara
{"title":"On first integrals, conservation laws and reduction of classes of Emden and Liénard equations","authors":"Mogahid M. A. Ahmed,&nbsp;Bader Alqurashi,&nbsp;A. H. Kara","doi":"10.1007/s13370-023-01163-4","DOIUrl":"10.1007/s13370-023-01163-4","url":null,"abstract":"<div><p>We present a general method to construct first integrals for some classes of the well known second-order ordinary differential equations, viz., the Emden and Liénard classes of equations. The approach does not require a knowledge of a Lagrangian but, rather, uses the ‘multiplier approach’ (Anco and Bluman in Eur J Appl Math 13:545–566, 2002; Eur J Appl Math 13:567–585, 2002). It is then shown how a study of the invariance properties and conservation laws are used to ‘twice’ reduce the equations to solutions. The equations admit five first integrals of which two are independent but the significance of the five are that they correspond to a five-dimensional algebra of Noether symmetries obtained without the need to construct a Lagrangian.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-023-01163-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139600666","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
The L-fuzzy cover spaces and L-fuzzy compact open topology L-模糊覆盖空间和L-模糊紧凑开放拓扑学
IF 0.9
Afrika Matematika Pub Date : 2024-01-18 DOI: 10.1007/s13370-023-01158-1
M. Routaray
{"title":"The L-fuzzy cover spaces and L-fuzzy compact open topology","authors":"M. Routaray","doi":"10.1007/s13370-023-01158-1","DOIUrl":"10.1007/s13370-023-01158-1","url":null,"abstract":"<div><p>In this paper, a new concept of <i>L</i>-fuzzy cover spaces regarding fuzzy topological spaces is added. Secondly, the ideas of <i>L</i>-fuzzy compact open topology is established and the number of their interesting properties are studied.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139526492","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
Stability analysis of anisotropic Bianchi type I cosmological model 各向异性比安奇 I 型宇宙学模型的稳定性分析
IF 1.1
Afrika Matematika Pub Date : 2024-01-12 DOI: 10.1007/s13370-023-01162-5
Sreelakshmi Pillai, Sanasam Surendra Singh
{"title":"Stability analysis of anisotropic Bianchi type I cosmological model","authors":"Sreelakshmi Pillai,&nbsp;Sanasam Surendra Singh","doi":"10.1007/s13370-023-01162-5","DOIUrl":"10.1007/s13370-023-01162-5","url":null,"abstract":"<div><p>Locally Rotationally Symmetric(LRS) Bianchi type I cosmological model interacting with scalar field and exponential potential is presented and phase plane analysis is done in the framework of dynamical systems. Evolution equations are analyzed and reduced to a system of ordinary differential equations which are autonomous by suitable variable transformations. All critical points both hyperbolic and non hyperbolic of the system are listed and their stability properties are analyzed and examined from the cosmological point of view. For non hyperbolic points perturbation theory is applied. Some representations of phase diagrams are shown explicitly.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139437801","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
Several identities and relations related to q-analogues of Pochhammer k-symbol with applications to Fuss–Catalan–Qi numbers 与波赫默尔 k 符号的 q 类似符号有关的几个特性和关系，以及在福斯-卡塔兰-齐数中的应用
IF 1.1
Afrika Matematika Pub Date : 2024-01-11 DOI: 10.1007/s13370-023-01164-3
Mongia Khlifi, Wathek Chammam, Bai-Ni Guo
{"title":"Several identities and relations related to q-analogues of Pochhammer k-symbol with applications to Fuss–Catalan–Qi numbers","authors":"Mongia Khlifi,&nbsp;Wathek Chammam,&nbsp;Bai-Ni Guo","doi":"10.1007/s13370-023-01164-3","DOIUrl":"10.1007/s13370-023-01164-3","url":null,"abstract":"<div><p>In the paper, the authors establish several identities and relations involving <i>q</i>-analogues of the Pochhammer <i>k</i>-symbol. Moreover, the authors generalize several identities and relations for <i>q</i>-analogues of the Catalan numbers and the Catalan–Qi numbers.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 1","pages":""},"PeriodicalIF":1.1,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438775","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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