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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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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":null,"pages":null},"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
Hyperbolic functions obtained from ({varvec{k}})-Pell sequences 从 $${varvec{k}}$ k -Pell 序列获得的双曲函数
IF 1.1
Afrika Matematika Pub Date : 2024-01-11 DOI: 10.1007/s13370-023-01160-7
Bahar Kuloğlu, Engin Özkan
{"title":"Hyperbolic functions obtained from ({varvec{k}})-Pell sequences","authors":"Bahar Kuloğlu,&nbsp;Engin Özkan","doi":"10.1007/s13370-023-01160-7","DOIUrl":"10.1007/s13370-023-01160-7","url":null,"abstract":"<div><p>In this paper, an expansion of the classical hyperbolic functions is presented and studied. Also, many features of the <span>(k-)</span> Pell hyperbolic functions are given. Finally, some graph and curved surfaces related to the k − Pell hyperbolic functions are introduced.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139438608","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":null,"pages":null},"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
A class of analytic functions defined using fractional Ruscheweyh–Goyal derivative and its majorization properties 使用分数 Ruscheweyh-Goyal 导数定义的一类解析函数及其大化特性
IF 1.1
Afrika Matematika Pub Date : 2024-01-09 DOI: 10.1007/s13370-023-01161-6
Gauri Shankar Paliwal, Ritu Agarwal, Beena Bundela, Jagdev Singh
{"title":"A class of analytic functions defined using fractional Ruscheweyh–Goyal derivative and its majorization properties","authors":"Gauri Shankar Paliwal,&nbsp;Ritu Agarwal,&nbsp;Beena Bundela,&nbsp;Jagdev Singh","doi":"10.1007/s13370-023-01161-6","DOIUrl":"10.1007/s13370-023-01161-6","url":null,"abstract":"<div><p>In the current study, we look at the majorization characteristics of the subclass <span>(U_{m}(alpha ,eta ,delta ))</span> of analytical functions described by the fractional Ruscheweyh–Goyal derivative. There are additional linkages made between the major findings of this study and those of prior researchers that are pertinent. Furthermore, we highlight a few novel or established implications of our primary finding.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139444302","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
Inclusion properties for classes of (p-)valent functions associated with linear operator 与线性算子相关的（p-）价函数类的包含特性
IF 1.1
Afrika Matematika Pub Date : 2024-01-08 DOI: 10.1007/s13370-023-01149-2
M. K. Aouf, A. O. Mostafa, G. M. El-Hawsh
{"title":"Inclusion properties for classes of (p-)valent functions associated with linear operator","authors":"M. K. Aouf,&nbsp;A. O. Mostafa,&nbsp;G. M. El-Hawsh","doi":"10.1007/s13370-023-01149-2","DOIUrl":"10.1007/s13370-023-01149-2","url":null,"abstract":"<div><p>The purpose of the present paper is to introduce subclasses of <span>(p-)</span>valent functions defined by linear operator. Inclusion relationships for functions in these subclasses are discussed.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-023-01149-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139399885","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
Linear integral operators on (L_p) spaces representing polynomial covariance type commutation relations 表示多项式协方差型换向关系的 (L_p) 空间上的线性积分算子
IF 1.1
Afrika Matematika Pub Date : 2024-01-08 DOI: 10.1007/s13370-023-01153-6
Domingos Djinja, Sergei Silvestrov, Alex Behakanira Tumwesigye
{"title":"Linear integral operators on (L_p) spaces representing polynomial covariance type commutation relations","authors":"Domingos Djinja,&nbsp;Sergei Silvestrov,&nbsp;Alex Behakanira Tumwesigye","doi":"10.1007/s13370-023-01153-6","DOIUrl":"10.1007/s13370-023-01153-6","url":null,"abstract":"<div><p>In this work, we present methods for constructing representations of polynomial covariance type commutation relations <span>(AB=BF(A))</span> by linear integral operators in Banach spaces <span>(L_p)</span>. We derive necessary and sufficient conditions on the kernel functions for the integral operators to satisfy the covariance type commutation relation for general polynomials <i>F</i>, as well as for important cases, when <i>F</i> is arbitrary affine or quadratic polynomial, or arbitrary monomial of any degree. Using the obtained general conditions on the kernels, we construct concrete examples of representations of the covariance type commutation relations by integral operators on <span>(L_p)</span>. Also, we derive useful general reordering formulas for the integral operators representing the covariance type commutation relations, in terms of the kernel functions.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":null,"pages":null},"PeriodicalIF":1.1,"publicationDate":"2024-01-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-023-01153-6.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"139399899","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
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