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An application of Dziok–Raina operator Dziok-Raina算子的一个应用
IF 0.7
Afrika Matematika Pub Date : 2026-02-17 DOI: 10.1007/s13370-026-01420-2
A. O. Mostafa, M. K. Aouf, Fatma Z. El-Emam
{"title":"An application of Dziok–Raina operator","authors":"A. O. Mostafa,&nbsp;M. K. Aouf,&nbsp;Fatma Z. El-Emam","doi":"10.1007/s13370-026-01420-2","DOIUrl":"10.1007/s13370-026-01420-2","url":null,"abstract":"<div><p>The prupose of the present paper is to study an application of a Miller and Mocanu’ theorem for the Dziok–Raina operator.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-026-01420-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339862","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 nonzero component graph of a near-vector space 一个近向量空间的非零分量图
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-026-01414-0
K. T. Howell, N. A. Neudauer, L. K. Wessels
{"title":"The nonzero component graph of a near-vector space","authors":"K. T. Howell,&nbsp;N. A. Neudauer,&nbsp;L. K. Wessels","doi":"10.1007/s13370-026-01414-0","DOIUrl":"10.1007/s13370-026-01414-0","url":null,"abstract":"<div><p>In this paper, we introduce a nonzero component graph of a finite-dimensional near-vector space constructed from a finite field. We investigate the relationship between the existence of a basis of a near-vector space over a field with that of the vector space over the same field, with the same dimension. We introduce the notion of a coordinate vector and prove an equivalent formulation for the definition of the nonzero component graph. We show that despite the vast differences in the structure of a near-vector space compared with a vector space, especially in the nonregular case, the graph fails the recognition problem in that it cannot distinguish between the near-vector space and its associated vector space. Thus, we show that the nonzero component graph of a near-vector space is identical to the one for a vector space over the same field, of the same dimension. Leveraging this result, we completely characterise and describe graph properties for the nonzero component graph on both near-vector spaces and vector spaces by partitioning the graph into components using the regularity graph of any nonregular near-vector space (with the same dimension) with its nonzero component graph. In closing we provide a reconstruction algorithm for constructing a near-vector space for a given nonzero component graph, satisfying certain conditions.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-026-01414-0.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339654","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
Reaction–diffusion models: on the conservation laws and integrability of the time-fractional, density-dependent cases 反应-扩散模型：关于时间分数、密度相关情况的守恒定律和可积性
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-025-01405-7
Aneeqa Ihsan, A. H. Kara, F. D. Zaman
{"title":"Reaction–diffusion models: on the conservation laws and integrability of the time-fractional, density-dependent cases","authors":"Aneeqa Ihsan,&nbsp;A. H. Kara,&nbsp;F. D. Zaman","doi":"10.1007/s13370-025-01405-7","DOIUrl":"10.1007/s13370-025-01405-7","url":null,"abstract":"<div><p>The Fisher and family of Fisher type equations, viz., Kolmogorov, density-dependent diffusion–reaction model equation, inter alia, do not admit any conservation laws. However, under certain conditions of some underlying parameters in the models, the reduction of such systems may be variational. In particular, traveling wave reduction leads to ordinary differential equations that generate Lagrangian and first integrals via Noether’s Theorem. Here, a variational symmetry approach leads to the properties and integrability of Painlevé. A similar situation occurs for the Fisher–Kolomorov and Nagumo type equations. For classes of these equations, we will investigate the existence of Conservation Laws for the fractional cases even though these do not exist for the integral derivative cases, viz., for the fractional Fisher and family of Fisher type equations.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01405-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339926","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
Dynamical analysis of stochastic three species predator–prey models with Beddington-DeAngelis functional response 具有Beddington-DeAngelis功能响应的随机三种捕食-食饵模型动力学分析
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-026-01425-x
Itendra Kumar, Sada Nand Prasad
{"title":"Dynamical analysis of stochastic three species predator–prey models with Beddington-DeAngelis functional response","authors":"Itendra Kumar,&nbsp;Sada Nand Prasad","doi":"10.1007/s13370-026-01425-x","DOIUrl":"10.1007/s13370-026-01425-x","url":null,"abstract":"<div><p>The purpose of this research paper is to study the dynamical properties of stochastic prey-predator model with with Beddington-DeAngelis functional response. The Beddington-DeAngelis functional response very less different from Holling-II functional response but an extra term involve in it which describe the mutual interference by mid level and super predators. The dynamical analysis of the model are studied by the stability of ergodic invariant measures on invariant subsets. The dynamic bifurcation is used for the study of statistic bifurcation phenomenon of the model. The intra-specific competition among the the species are also considered. The environmental noise is examined as the driving fore produced by environment can take the extinction of all species or one or two species. The all results are verified by numerical simulations.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339927","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 classes of double sequences in the domain of ({mathcal {L}_p}) and ({mathcal {L}_infty }) 在({mathcal {L}_p})和域上的双重序列的新类 ({mathcal {L}_infty })
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-026-01421-1
S. Samantaray, L. Nayak, P. Baliarsingh
{"title":"New classes of double sequences in the domain of ({mathcal {L}_p}) and ({mathcal {L}_infty })","authors":"S. Samantaray,&nbsp;L. Nayak,&nbsp;P. Baliarsingh","doi":"10.1007/s13370-026-01421-1","DOIUrl":"10.1007/s13370-026-01421-1","url":null,"abstract":"<div><p>The prime objective of this paper is to define new difference double sequence spaces in the domain of <span>(mathcal {L}_p)</span> and <span>(mathcal {L}_infty)</span> via the double difference operator <span>(_2Delta ^{gamma , mu })</span> of orders <span>(gamma , mu)</span>. The above spaces are normed linear spaces and they are linearly isomorphic to the spaces <span>({mathcal {L}_p})</span> and <span>({mathcal {L}_infty })</span> for <span>(1le p&lt;infty)</span>. Also, some inclusion relations among them are derived.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-026-01421-1.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339982","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
On the stability of swelling porous elastic soils with a viscoelastic damping 粘弹阻尼作用下膨胀多孔弹性土的稳定性研究
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-026-01422-0
Soh Edwin Mukiwa, Tijani A. Apalara, Cyril D. Enyi
{"title":"On the stability of swelling porous elastic soils with a viscoelastic damping","authors":"Soh Edwin Mukiwa,&nbsp;Tijani A. Apalara,&nbsp;Cyril D. Enyi","doi":"10.1007/s13370-026-01422-0","DOIUrl":"10.1007/s13370-026-01422-0","url":null,"abstract":"<div><p>The present work studies a swelling porous-elastic system with viscoelastic damping. We establish a general and optimal decay estimate which generalizes some recent results in the literature. Our result is established without imposing the usual equal-wave-speed condition associated with similar problems in literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339696","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
ORRT models in the presence of non-response and measurement error under stratified random sampling 分层随机抽样下存在无响应和测量误差的ORRT模型
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-026-01412-2
Sunil Kumar, Sanam Preet Kour
{"title":"ORRT models in the presence of non-response and measurement error under stratified random sampling","authors":"Sunil Kumar,&nbsp;Sanam Preet Kour","doi":"10.1007/s13370-026-01412-2","DOIUrl":"10.1007/s13370-026-01412-2","url":null,"abstract":"<div><p>The quintessence of this study is the problem of estimating the finite population mean of sensitive variable in stratified random sampling in the presence of non-response and measurement error simultaneously by utilizing ORRT models. This work offered a class of estimator(s) for the estimation of sensitive variable(s) i.e. sensitive study and auxiliary variable. Up to the first degree of approximation, the expressions for the bias and mean square error of the proposed estimator have been derived. The suggested estimator has been compared with the unbiased estimator and other conventional estimators. The conditions are determined to show the efficiency of the proposed estimator over other considered estimators. To shore up the theoretical results, a comprehensive simulation study is conducted.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339699","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
Roughness in rings via cubic sets with applications 通过三次集合的环的粗糙度和应用
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-026-01435-9
Muhammad Gulistan, Naqib Ullah Khan, Tahir Abbas
{"title":"Roughness in rings via cubic sets with applications","authors":"Muhammad Gulistan,&nbsp;Naqib Ullah Khan,&nbsp;Tahir Abbas","doi":"10.1007/s13370-026-01435-9","DOIUrl":"10.1007/s13370-026-01435-9","url":null,"abstract":"<div><p>This paper introduces a novel hybrid structure called rough cubic sets in the context of ring theory, combining the concepts of roughness and cubic sets. We systematically investigate the fundamental operations and properties of rough cubic sets, with particular emphasis on their algebraic characteristics in rings. The study further explores the notion of rough cubic ideals in rings, establishing their essential properties. As a practical application of the developed theory, we propose an innovative approach to solving multiple attribute decision-making problems within the rough cubic set environment. Our results demonstrate both the theoretical richness of this new structure and its potential for practical applications in decision sciences.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339986","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
Hereditary interior operators 世袭内部操作者
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-026-01427-9
Fikreyohans Solomon Assfaw, David Holgate
{"title":"Hereditary interior operators","authors":"Fikreyohans Solomon Assfaw,&nbsp;David Holgate","doi":"10.1007/s13370-026-01427-9","DOIUrl":"10.1007/s13370-026-01427-9","url":null,"abstract":"<div><p>Working in an arbitrary category endowed with a fixed <span>((mathcal {E}, mathcal {M}))</span>-factorization system in which the preimage functor for any given morphism preserves arbitrary joins we improve the Castellini notion of hereditary interior operators. We introduce and study a general notion of hereditary interior operators in terms of dual images. It is shown that these operators behave as well as hereditary closure operators. In particular, hereditary interior operators are characterized in terms of the notion of initiality as for hereditary closure operators. Moreover, we prove that additive hereditary interior operators are Castellini’s hereditary interior operators. Some examples are included.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-026-01427-9.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339655","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
Dynamical properties of the horseshoe map 马蹄形地图的动态特性
IF 0.7
Afrika Matematika Pub Date : 2026-02-16 DOI: 10.1007/s13370-025-01408-4
Alejandro Cardona Zapata, Oscar Iván Giraldo Galeano, José Gregorio Rodríguez-Nieto
{"title":"Dynamical properties of the horseshoe map","authors":"Alejandro Cardona Zapata,&nbsp;Oscar Iván Giraldo Galeano,&nbsp;José Gregorio Rodríguez-Nieto","doi":"10.1007/s13370-025-01408-4","DOIUrl":"10.1007/s13370-025-01408-4","url":null,"abstract":"<div><p>In this paper we present an alternative proof that the horseshoe map inherits the dynamical properties of the shift map by using the Cantor map and an equivalence relation defined on the Cantor sets on the unit rectangle.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"37 1","pages":""},"PeriodicalIF":0.7,"publicationDate":"2026-02-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-025-01408-4.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"147339656","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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