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Afrika Matematika最新文献

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General algebraic identities and consequences 一般代数恒等式及其结果
IF 0.7
Afrika Matematika Pub Date : 2025-05-28 DOI: 10.1007/s13370-025-01325-6
Said Zriaa, Mohammed Mouçouf
{"title":"General algebraic identities and consequences","authors":"Said Zriaa,&nbsp;Mohammed Mouçouf","doi":"10.1007/s13370-025-01325-6","DOIUrl":"10.1007/s13370-025-01325-6","url":null,"abstract":"<div><p>The partial fraction decomposition technique plays a central role in establishing many interesting formulas, which may have applications to combinatorics, number theory, and other topics. In this paper, we present general explicit formulas for partial fraction decompositions which are a unified generalization of several formulas in the literature. All the well-known identities are special cases of ours. Our main tools used here are some elegant algebraic techniques.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171235","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
First integrals, conserved vectors of nonlinear partial difference equations 第一积分，非线性偏差分方程的守恒向量
IF 0.7
Afrika Matematika Pub Date : 2025-05-28 DOI: 10.1007/s13370-025-01326-5
Akhtar Hussain, A. H. Kara, F. D. Zaman
{"title":"First integrals, conserved vectors of nonlinear partial difference equations","authors":"Akhtar Hussain,&nbsp;A. H. Kara,&nbsp;F. D. Zaman","doi":"10.1007/s13370-025-01326-5","DOIUrl":"10.1007/s13370-025-01326-5","url":null,"abstract":"<div><p>We conduct a symmetry analysis of the discrete Fitzhugh-Nagumo (FN) and the Kolmogorov Petrovskii Piskunov (KPP) equations for which the discrete versions are produced using a formal discretization method. The primary aspect of the procedure is to generate a symmetry algebra using a technique developed by Hydon. Then, we derive a method for the construction of conserved vectors or first integral vectors for the discrete equations.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171234","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
Existence and asymptotic stability of solutions for a nonlinear thermoviscoelastic system with a source term involving a variable exponent 含变指数源项非线性热粘弹性系统解的存在性和渐近稳定性
IF 0.7
Afrika Matematika Pub Date : 2025-05-28 DOI: 10.1007/s13370-025-01331-8
Abdelmalek Khadraoui, Mohamed Dilmi, Mourad Dilmi, Salah Boulaaras, Hamid Benseridi
{"title":"Existence and asymptotic stability of solutions for a nonlinear thermoviscoelastic system with a source term involving a variable exponent","authors":"Abdelmalek Khadraoui,&nbsp;Mohamed Dilmi,&nbsp;Mourad Dilmi,&nbsp;Salah Boulaaras,&nbsp;Hamid Benseridi","doi":"10.1007/s13370-025-01331-8","DOIUrl":"10.1007/s13370-025-01331-8","url":null,"abstract":"<div><p>In this paper, we investigate the asymptotic stability of solutions for a thermoviscoelastic system with a nonlinear variable exponent source term and a damping term. Using the Faedo-Galerkin method, we establish the existence of solutions. Then, applying the perturbed energy method, we demonstrate a general rate of energy decay.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171237","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
New estimators of population variance based on logarithmic transformation in the presence of random non-response and measurement errors under successive sampling 基于对数变换的连续抽样随机无响应和测量误差下总体方差的新估计
IF 0.7
Afrika Matematika Pub Date : 2025-05-28 DOI: 10.1007/s13370-025-01324-7
Ahmed Audu, Maggie Aphane, Olatunji Olawoyin Ishaq, Ran Vijay Kumar Singh
{"title":"New estimators of population variance based on logarithmic transformation in the presence of random non-response and measurement errors under successive sampling","authors":"Ahmed Audu,&nbsp;Maggie Aphane,&nbsp;Olatunji Olawoyin Ishaq,&nbsp;Ran Vijay Kumar Singh","doi":"10.1007/s13370-025-01324-7","DOIUrl":"10.1007/s13370-025-01324-7","url":null,"abstract":"<div><p>This paper considered the problem of estimation of population variance of the study character in two-occasion (successive) sampling in absence and presence of non-response and measurement error. Logarithmic type estimators have been developed to reduce the nuisance effect of non-response in sample surveys. The proposed logarithmic based estimators aim to enhance the precision and validity of inferences drawn from successive sampling surveys, where non-sampling errors can significantly affect the quality of the data and the resulting population parameter estimates. The expressions for the biases and mean squared errors of the proposed estimators were derived to quantify their statistical properties and performance. The empirical results through simulation studies demonstrated that the proposed logarithmic-type estimators outperform the traditional variance estimator obtained through linear combination of sample variance and conventional ratio estimator in terms of relative absolute bias and mean squared error, especially when non-response and measurement errors are substantial.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01324-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171239","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
Second-order explicit methods for fractional differential equations and their stability properties 分数阶微分方程的二阶显式方法及其稳定性
IF 0.7
Afrika Matematika Pub Date : 2025-05-28 DOI: 10.1007/s13370-025-01322-9
Zahra Farzaneh Bonab, Mohammad Javidi
{"title":"Second-order explicit methods for fractional differential equations and their stability properties","authors":"Zahra Farzaneh Bonab,&nbsp;Mohammad Javidi","doi":"10.1007/s13370-025-01322-9","DOIUrl":"10.1007/s13370-025-01322-9","url":null,"abstract":"<div><p>Several explicit multistep methods have already been introduced. New higher-order explicit methods are obtained in the present study, and their stability properties are investigated. Some numerical examples confirm the theoretical results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145171238","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
Weak solutions for three-point boundary value problem of caputo type modification of the Erdélyi-Kober fractional differential inclusions erdsamlyi - kober分数阶微分内含子caputo型修正三点边值问题的弱解
IF 0.9
Afrika Matematika Pub Date : 2025-05-27 DOI: 10.1007/s13370-025-01321-w
Mokhtar Boumaaza, Abdelkrim Salim, Mouffak Benchohra
{"title":"Weak solutions for three-point boundary value problem of caputo type modification of the Erdélyi-Kober fractional differential inclusions","authors":"Mokhtar Boumaaza,&nbsp;Abdelkrim Salim,&nbsp;Mouffak Benchohra","doi":"10.1007/s13370-025-01321-w","DOIUrl":"10.1007/s13370-025-01321-w","url":null,"abstract":"<div><p>In this paper we deal with the existence of weak solutions for some Three-Point Boundary Value Problem of fractional Caputo-type modification of the Erdélyi-Kober differential inclusions and a coupled system fractional difference inclusions. Our approach is based on Mönch’s fixed point theorem associated with the technique of measure of weak noncompactness. Two illustrative examples included to show the applicability of our outcomes.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144140244","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
Klein book embeddings 克莱因书嵌件
IF 0.9
Afrika Matematika Pub Date : 2025-05-27 DOI: 10.1007/s13370-025-01323-8
Luke Martin, Thomas McKenzie, Shannon Overbay, Lin Ai Tan
{"title":"Klein book embeddings","authors":"Luke Martin,&nbsp;Thomas McKenzie,&nbsp;Shannon Overbay,&nbsp;Lin Ai Tan","doi":"10.1007/s13370-025-01323-8","DOIUrl":"10.1007/s13370-025-01323-8","url":null,"abstract":"<div><p>Book embeddings of graphs have been the subject of extensive study. The definitions of such embeddings have been generalized by allowing pages to be cylinders, tori, and Möbius bands rather than half-planes. In this paper, we consider book pages as Klein bottles. We give an application of these Klein books and edge bounds for graphs embeddable in the books. We conclude with optimal Klein book embeddings of some families of graphs.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-05-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144140245","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
Epidemics: towards understanding undulation and decay 流行病：走向理解波动和衰退
IF 0.9
Afrika Matematika Pub Date : 2025-05-17 DOI: 10.1007/s13370-025-01318-5
Niko Sauer
{"title":"Epidemics: towards understanding undulation and decay","authors":"Niko Sauer","doi":"10.1007/s13370-025-01318-5","DOIUrl":"10.1007/s13370-025-01318-5","url":null,"abstract":"<div><p>Undulation (usually called <i>waves</i>) of infection levels in epidemics, is not well understood. In this paper we propose a mathematical model that exhibits undulation (oscillation) and decay towards a stable state. The model is a re-interpretation of the original SIR-model obtained by postulating different constitutive relations whereby classical logistic growth with recovery is obtained. The recovery relation is based on the premise that it is only achieved after some time. This leads to a differential–difference (delay) equation which intrinsically exhibits periodicity in its solutions but not necessarily decay to asymptotic equilibrium. Limit cycles can indeed occur. An appropriate linearization of the governing equation provides a firm basis for heuristic reasoning as well as confidence in numerical calculations.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-05-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01318-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144073634","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
Some properties in bipolar intuitionistic (Omega )-fuzzy ideals over semigroups 半群上双极直觉性(Omega ) -模糊理想的一些性质
IF 0.9
Afrika Matematika Pub Date : 2025-05-05 DOI: 10.1007/s13370-025-01319-4
Mourad Oqla Massa’deh, Ahlam Fellatah
{"title":"Some properties in bipolar intuitionistic (Omega )-fuzzy ideals over semigroups","authors":"Mourad Oqla Massa’deh,&nbsp;Ahlam Fellatah","doi":"10.1007/s13370-025-01319-4","DOIUrl":"10.1007/s13370-025-01319-4","url":null,"abstract":"<div><p>Given the concept of bipolar intuitionistic fuzzy set and a set <span>(Omega ,)</span> The concept of a bipolar intuitionistic <span>(Omega )</span>-fuzzy right (left) ideal, a bipolar intuitionistic <span>(Omega )</span>-fuzzy bi-ideals and a bipolar intuitionistic <span>(Omega )</span>-fuzzy ideal, a bipolar (1, 2)-ideals in semigroup are discussed and some results and properties are introduced. Using bipolar intuitionistic fuzzy bi-ideal, a bipolar intuitionistic <span>(Omega )</span>-fuzzy bi-ideals constructed. We discuss some theorems and properties on their concepts and some results are explored.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143904863","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
Lie right ideals in 3-prime near-rings with generalized homoderivations 具有广义同导的3素数近环上的李右理想
IF 0.9
Afrika Matematika Pub Date : 2025-05-05 DOI: 10.1007/s13370-025-01317-6
Abdelkarim Boua, Abdlilah Zerbane, Öznur Gölbaşi
{"title":"Lie right ideals in 3-prime near-rings with generalized homoderivations","authors":"Abdelkarim Boua,&nbsp;Abdlilah Zerbane,&nbsp;Öznur Gölbaşi","doi":"10.1007/s13370-025-01317-6","DOIUrl":"10.1007/s13370-025-01317-6","url":null,"abstract":"<div><p>This article investigates the structure of near-rings with generalized homoderivations that satisfy certain constraints on nonzero Lie right ideals of near-rings.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 2","pages":""},"PeriodicalIF":0.9,"publicationDate":"2025-05-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143904862","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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