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Alternative technique for equality constraint-based optimization problem under epistemic uncertainty 认知不确定性下基于等式约束的优化问题的替代技术
IF 0.9
Afrika Matematika Pub Date : 2024-12-26 DOI: 10.1007/s13370-024-01228-y
Diptiranjan Behera, Romane Thomas
{"title":"Alternative technique for equality constraint-based optimization problem under epistemic uncertainty","authors":"Diptiranjan Behera,&nbsp;Romane Thomas","doi":"10.1007/s13370-024-01228-y","DOIUrl":"10.1007/s13370-024-01228-y","url":null,"abstract":"<div><p>In this paper, epistemic uncertainty such as the concept of fuzzy set theory has been considered for the analysis of an optimization problem. Accordingly, a fully fuzzy linear programming problem with equality fuzzy constraints has been analysed. Here the involved parameters and variables are considered in terms of trapezoidal fuzzy numbers. In this regard, a new alternative method by converting the fuzzy problem into an equivalent crisp problem has been proposed. In the methodology, for the defuzzification process linear combination-based approach for the fuzzy objective function as well as fuzzy arithmetic are used for the constraints and the non-negative restrictions. Various numerical examples have been solved and compared with the existing results for the validation.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889737","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 normalized Rabotnov function associated with two subclasses of analytic functions with positive coefficients 与两个正系数解析函数子类相关的归一化Rabotnov函数
IF 0.9
Afrika Matematika Pub Date : 2024-12-26 DOI: 10.1007/s13370-024-01231-3
Dania Ahmad AL-Akhras, Basem Aref Frasin
{"title":"On normalized Rabotnov function associated with two subclasses of analytic functions with positive coefficients","authors":"Dania Ahmad AL-Akhras,&nbsp;Basem Aref Frasin","doi":"10.1007/s13370-024-01231-3","DOIUrl":"10.1007/s13370-024-01231-3","url":null,"abstract":"<div><p>Let <span>({mathbb {R}}_{alpha ,beta }(z)=z+{displaystyle sum limits _{n=2}^{infty }}frac{beta ^{n-1}Gamma (1+alpha )}{Gamma ((1+alpha )n)}z^{n})</span> be the normalized Rabotnov functions. The purpose of the present paper is to determine necessary and sufficient conditions and inclusion relation for the normalized Rabotnov function <span>({mathbb {R}}_{alpha ,beta }(z))</span> to be in two subclasses of analytic functions with positive coefficients. Further, we consider an integral operator related to the Rabotnov function <span>({mathbb {R}}_{alpha ,beta }(z))</span>. Several examples of the main results are also considered.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142889738","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
Exponential decay in a porous-elastic system with memory and neutral delay 具有记忆和中性延迟的多孔弹性系统的指数衰减
IF 0.9
Afrika Matematika Pub Date : 2024-12-24 DOI: 10.1007/s13370-024-01229-x
Hanni Dridi, Tijani A. Apalara
{"title":"Exponential decay in a porous-elastic system with memory and neutral delay","authors":"Hanni Dridi,&nbsp;Tijani A. Apalara","doi":"10.1007/s13370-024-01229-x","DOIUrl":"10.1007/s13370-024-01229-x","url":null,"abstract":"<div><p>In this paper, we study a memory-type porous-elastic system coupled with a neutral delay on the elasticity equation. We construct some appropriate functionals together with modified energy functional and stabilize the system exponentially depending on the wave speed, the weight of the delay, and the relaxation function.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142880394","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
The modified q-Genocchi numbers and polynomials with applications to q-zeta functions 修正的q- genochi数和多项式在q-zeta函数上的应用
IF 0.9
Afrika Matematika Pub Date : 2024-12-24 DOI: 10.1007/s13370-024-01225-1
Armen Bagdasaryan, Serkan Araci, Erkan Ağyüz, Mehmet Acikgoz
{"title":"The modified q-Genocchi numbers and polynomials with applications to q-zeta functions","authors":"Armen Bagdasaryan,&nbsp;Serkan Araci,&nbsp;Erkan Ağyüz,&nbsp;Mehmet Acikgoz","doi":"10.1007/s13370-024-01225-1","DOIUrl":"10.1007/s13370-024-01225-1","url":null,"abstract":"<div><p>In this paper, we introduce the modified <i>q</i>-Genocchi polynomials, investigate their properties, and give their generating function. We obtain a number of new relations and properties for <i>q</i>-Genocchi polynomials, such as addition formula, explicit formula, derivative formula, and multiplication formula. As an application, a new <i>q</i>-analogue of Genocchi zeta function is presented by applying the Mellin transform to the generating function of the modified <i>q</i>-Genocchi polynomials. Finally, we define the <i>q</i>-Genocchi zeta-type functions and then prove their interpolation by the modified <i>q</i>-Genocchi polynomials at negative integers.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142880500","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
Common fixed point theorems in complete partial metric space 完全偏度量空间中的公共不动点定理
IF 0.9
Afrika Matematika Pub Date : 2024-12-23 DOI: 10.1007/s13370-024-01224-2
Reza Arab, Bipan Hazarika, Thabet Abdeljawad, Sumati P. Kumari
{"title":"Common fixed point theorems in complete partial metric space","authors":"Reza Arab,&nbsp;Bipan Hazarika,&nbsp;Thabet Abdeljawad,&nbsp;Sumati P. Kumari","doi":"10.1007/s13370-024-01224-2","DOIUrl":"10.1007/s13370-024-01224-2","url":null,"abstract":"<div><p>The objective of this article is to obtain coincidence points and common fixed point theorem in complete partial metric space. We provide some examples to support the usability of our results.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142875230","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
Investigation for pseudo-almost periodic functions: generalizations and applications to differential equations 伪近周期函数探究：微分方程的一般化和应用
IF 0.9
Afrika Matematika Pub Date : 2024-12-16 DOI: 10.1007/s13370-024-01220-6
Dhaou C. Lassoued, George E. Chatzarakis
{"title":"Investigation for pseudo-almost periodic functions: generalizations and applications to differential equations","authors":"Dhaou C. Lassoued,&nbsp;George E. Chatzarakis","doi":"10.1007/s13370-024-01220-6","DOIUrl":"10.1007/s13370-024-01220-6","url":null,"abstract":"<div><p>In this paper, we revisit pseudo-almost periodic and Stepanov-almost periodic functions. We study their properties and show in particular some composition theorems and fundamental results related to these classes. Some illustrating applications and concrete examples on existence and uniqueness of pseudo-almost periodic solutions to differential equations are given.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142826135","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 climate-based metapopulation malaria model with human travel and treatment 考虑人类旅行和治疗的基于气候的元人口疟疾模型
IF 0.9
Afrika Matematika Pub Date : 2024-12-06 DOI: 10.1007/s13370-024-01219-z
Baaba A. Danquah, Faraimunashe Chirove, Jacek Banasiak
{"title":"A climate-based metapopulation malaria model with human travel and treatment","authors":"Baaba A. Danquah,&nbsp;Faraimunashe Chirove,&nbsp;Jacek Banasiak","doi":"10.1007/s13370-024-01219-z","DOIUrl":"10.1007/s13370-024-01219-z","url":null,"abstract":"<div><p>A climate-based metapopulation malaria model is formulated by incorporating human travel between zones with varying climatic factors, effective and counterfeit drug treatments, and time-periodic parameters for the mosquito population to understand the effect of human travel on malaria transmission. We study the existence, uniqueness, and stability of positive periodic solutions in the model and carry out numerical simulations for three climatic zones of Ghana. The study shows that the climate effects introduce fluctuations in the solutions, while human travel between zones affects the disease prevalence in each zone and the local transmission dynamics of malaria. We observed different outcomes depending on various restrictions imposed on human travels. The study also suggests that it is essential to ban the sale, importation or manufacture of counterfeit drugs and punish the offenders to ensure the effective use of high-quality drugs in the population.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-12-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142778540","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 improvements of some classical inequalities 一些经典不等式的新改进
IF 0.9
Afrika Matematika Pub Date : 2024-11-26 DOI: 10.1007/s13370-024-01218-0
Abdelmajid Gourty, Mohamed Amine Ighachane, Fuad Kittaneh
{"title":"New improvements of some classical inequalities","authors":"Abdelmajid Gourty,&nbsp;Mohamed Amine Ighachane,&nbsp;Fuad Kittaneh","doi":"10.1007/s13370-024-01218-0","DOIUrl":"10.1007/s13370-024-01218-0","url":null,"abstract":"<div><p>In this paper, we establish an inequality for scalars, which we then apply to refine some classical inequalities for inner product and numerical raduis. For example, we establish that for any <span>(mathcal {E}in mathcal {B}(mathcal {H}),)</span> <span>(u,vin mathcal {H},)</span> and <span>(0le theta le 1)</span>, </p><div><div><span>$$begin{aligned} |langle mathcal {E} u,vrangle |^2&amp;le mathcal {U}_{(n,xi )}left( eta ,|langle mathcal {E}u,vrangle |,sqrt{leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle }right) &amp;le leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle . end{aligned}$$</span></div></div><p>Moreover, we have <span>(left( mathcal {U}_{(n,xi )}left( eta ,|langle mathcal {E}u,vrangle |,sqrt{leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle }right) right) _{n geqslant 0})</span> is an increasing sequence satisfying </p><div><div><span>$$begin{aligned} lim limits _{n rightarrow +infty } mathcal {U}_{(n,xi )}left( eta ,|langle mathcal {E}u,vrangle |,sqrt{leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle }right) = leftlangle |mathcal {E}|^{2 theta } u,urightrangle leftlangle left| mathcal {E}^*right| ^{2(1-theta )} v, vrightrangle , end{aligned}$$</span></div></div><p>which presents a novel refinement of the well-known mixed Schwartz inequality. Our results extend and refine well-established inequalities found in the literature.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142714503","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
Certain properties of Bazilevi(breve{c}) type univalent class defined through subordination 通过从属关系定义的 Bazilevi（breve{c}）型单价类的某些性质
IF 0.9
Afrika Matematika Pub Date : 2024-10-10 DOI: 10.1007/s13370-024-01216-2
T. Panigrahi, S. Jena, R. M. El-Ashwah
{"title":"Certain properties of Bazilevi(breve{c}) type univalent class defined through subordination","authors":"T. Panigrahi,&nbsp;S. Jena,&nbsp;R. M. El-Ashwah","doi":"10.1007/s13370-024-01216-2","DOIUrl":"10.1007/s13370-024-01216-2","url":null,"abstract":"<div><p>In the present paper with the aid of subordination, the authors introduce two subclasses of analytic functions denoted by <span>({mathcal {S}}_{alpha , beta }(lambda )~~(alpha ,~beta ,~ lambda in {mathbb {R}},~alpha &lt;1, beta &gt;1, lambda ge 0))</span> and <span>({mathcal {G}}(lambda ))</span> defined in the open unit disk <span>({mathbb {D}}:={z in {mathbb {C}}:|z|&lt;1})</span>. These subclasses are defined through a certain univalent function <span>({mathcal {S}}_{alpha , beta })</span> and the generating function of the Gregory coefficients <span>({mathcal {G}}(lambda ))</span>. We determine upper bounds of the initial coefficients, Fekete–Szeg<span>(ddot{o})</span> functional, Hankel determinant of second order, logarithmic coefficients and inverse coefficients of the functions belongs to these subclasses. Some of the corollaries of the main results are also pointed out.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s13370-024-01216-2.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142411218","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
Characterizations of (mathcal{Q}mathcal{C})-hyperideals in semihypergroups 半超群中的(mathcal{Q}mathcal{C})-超次数的特征
IF 0.9
Afrika Matematika Pub Date : 2024-09-27 DOI: 10.1007/s13370-024-01215-3
Shahnawaz Ali, Mohammad Y. Abbasi, Kostaq Hila, Sabahat A. Khan
{"title":"Characterizations of (mathcal{Q}mathcal{C})-hyperideals in semihypergroups","authors":"Shahnawaz Ali,&nbsp;Mohammad Y. Abbasi,&nbsp;Kostaq Hila,&nbsp;Sabahat A. Khan","doi":"10.1007/s13370-024-01215-3","DOIUrl":"10.1007/s13370-024-01215-3","url":null,"abstract":"<div><p>In this article, we introduce the notion of quasi covered hyperideal (QC-hyperideal) in semihypergroups. The greatest quasi covered hyperideal and the quasi hyperbase of a semihypergroup are studied. We discuss some attributes of these hyperideals, as well as their union and intersection properties and their characterizations in semihypergroups and regular semihypergroups. Finally, we establish a relationship between covered hyperideals, the greatest hyperideal, QC-hyperideals, and the quasi hyperbase with the greatest quasi covered hyperideal.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"35 4","pages":""},"PeriodicalIF":0.9,"publicationDate":"2024-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142414674","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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