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Journal of Innovative Applied Mathematics and Computational Sciences最新文献

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More on standard single valued neutrosophic metric spaces 更多关于标准单值嗜中性度量空间
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2021-12-29 DOI: 10.58205/jiamcs.v1i1.11
Soheyb Milles, A. Latreche, O. Barkat
{"title":"More on standard single valued neutrosophic metric spaces","authors":"Soheyb Milles, A. Latreche, O. Barkat","doi":"10.58205/jiamcs.v1i1.11","DOIUrl":"https://doi.org/10.58205/jiamcs.v1i1.11","url":null,"abstract":" Recently, we have introduced the notion of standard single valued neutrosophic (SSVN) metric space as a generalization of the notion of standard fuzzy metric spaces given by J.R. Kider and Z.A. Hussain. In this paper, we study the fundamental properties of standard single valued neutrosophic metric spaces. Furthermore, we introduce the notion of continuous mapping and uniformly continuous mapping in standard single-valued neutrosophic metric spaces. To that end, we give a number of properties and characterizations of these notions.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"127932187","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 continuous solutions for integral equations of product type 积型积分方程连续解的存在性及渐近稳定性
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2021-12-29 DOI: 10.58205/jiamcs.v1i1.5
M. Bousselsal, A. Bellour
{"title":"Existence and asymptotic stability of continuous solutions for integral equations of product type","authors":"M. Bousselsal, A. Bellour","doi":"10.58205/jiamcs.v1i1.5","DOIUrl":"https://doi.org/10.58205/jiamcs.v1i1.5","url":null,"abstract":"In this paper, we study the existence of a continuous solution for a nonlinear integral equation of a product type. The analysis uses the techniques of measures of noncompactness and Darbo's fixed point theorem. Our results are obtained under rather general assumptions. Moreover, the method used in the proof allows us to obtain the asymptotic stability of the solutions.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"82 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115652241","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 on the sum of the squares of generalized Balancing numbers: the sum formula $sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ 广义平衡数平方和的研究:求和公式$sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2021-12-27 DOI: 10.58205/jiamcs.v1i1.7
Y. Soykan, E. Taşdemir, C. M. Dikmen
{"title":"A study on the sum of the squares of generalized Balancing numbers: the sum formula $sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$","authors":"Y. Soykan, E. Taşdemir, C. M. Dikmen","doi":"10.58205/jiamcs.v1i1.7","DOIUrl":"https://doi.org/10.58205/jiamcs.v1i1.7","url":null,"abstract":"In this paper, closed forms of the sum formulas $sum_{k=0}^{n}x^{k}W_{mk+j}^{2}$ for generalized balancing numbers arepresented. As special cases, we give sum formulas of balancing, modified Lucas-balancing and Lucas-balancing numbers.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"42 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2021-12-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129228021","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 system of difference equations of third order solved in closed form 关于一个三阶闭解差分方程组
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2019-10-31 DOI: 10.58205/jiamcs.v1i1.8
Y. Akrour, N. Touafek, Yacine Halim
{"title":"On a system of difference equations of third order solved in closed form","authors":"Y. Akrour, N. Touafek, Yacine Halim","doi":"10.58205/jiamcs.v1i1.8","DOIUrl":"https://doi.org/10.58205/jiamcs.v1i1.8","url":null,"abstract":"In this work, we show that the system of difference equationsxn+1=(ayn-2xn-1yn+bxn-1yn-2+cyn-2+d)/(yn-2xn-1yn),yn+1=(axn-2yn-1xn+byn-1xn-2+cxn-2+d)/(xn-2yn-1xn),where n belongs to the set of positive integer numbers, x-2, x-1, x0, y-2, y-1 and y0 are arbitrary nonzero real numbers, and the parameters a, b, c and d are arbitrary real numbers with d nonzero can be solved in a closed form.We will see that when a = b = c = d = 1, the solutions are expressed using the famous Tetranacci numbers. In particular, the results obtained here extend those in our recent work.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"25 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2019-10-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116702460","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: 4
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