Pub Date : 2020-07-10DOI: 10.22342/JIMS.26.2.856.202-212
S. Azami, M. Mohammadi
We consider the hyperbolic Ricci-Bourguignon flow(HRBF) equation on Riemannian surfaces and we find a sufficient and necessary condition to this flow has global classical solution. Also, we show that the scalar curvature of the solution metric gij convergence to the flat curvature.
{"title":"Long time existence of hyperbolic Ricci-Bourguignon flow on Riemannian Surfaces","authors":"S. Azami, M. Mohammadi","doi":"10.22342/JIMS.26.2.856.202-212","DOIUrl":"https://doi.org/10.22342/JIMS.26.2.856.202-212","url":null,"abstract":"We consider the hyperbolic Ricci-Bourguignon flow(HRBF) equation on Riemannian surfaces and we find a sufficient and necessary condition to this flow has global classical solution. Also, we show that the scalar curvature of the solution metric gij convergence to the flat curvature.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44227134","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}
Pub Date : 2020-07-10DOI: 10.22342/JIMS.26.2.808.224-233
A. Adem, M. Küçükaslan
In this paper, by using natural density of subsets of N, the statistical limit and cluster points of the arithmetical functions (ap (n)), γ (n),τ(n), Δ γ (n) and Δ τ (n) are studied. In addition to this, we also investigate statistical limit and cluster points of (Δ r γ (n) and (Δ r τ (n)) for each r in N.
{"title":"A Note on Statistical Limit and Cluster Points of The Arithmetical Functions ap(n), γ(n), and τ(n) in The Sense of Density","authors":"A. Adem, M. Küçükaslan","doi":"10.22342/JIMS.26.2.808.224-233","DOIUrl":"https://doi.org/10.22342/JIMS.26.2.808.224-233","url":null,"abstract":"In this paper, by using natural density of subsets of N, the statistical limit and cluster points of the arithmetical functions (ap (n)), γ (n),τ(n), Δ γ (n) and Δ τ (n) are studied. In addition to this, we also investigate statistical limit and cluster points of (Δ r γ (n) and (Δ r τ (n)) for each r in N.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"49478355","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}
Pub Date : 2020-07-10DOI: 10.22342/JIMS.26.2.789.213-223
G. Sridhara, R. Kanna, H. L. Parashivamurthy
For any connected graph G, the distance energy, E_D(G) is defined as the sum of the absolute eigenvalues of its distance matrix. Distance energy was introduced by Indulal et al in the year 2008. It has significant importance in QSPR analysis of molecular descriptor to study their physico-chemical properties. Our interest in this article is to establish new lower and upper bounds for distance energy.
{"title":"New Bounds for Distance Energy of A Graph","authors":"G. Sridhara, R. Kanna, H. L. Parashivamurthy","doi":"10.22342/JIMS.26.2.789.213-223","DOIUrl":"https://doi.org/10.22342/JIMS.26.2.789.213-223","url":null,"abstract":"For any connected graph G, the distance energy, E_D(G) is defined as the sum of the absolute eigenvalues of its distance matrix. Distance energy was introduced by Indulal et al in the year 2008. It has significant importance in QSPR analysis of molecular descriptor to study their physico-chemical properties. Our interest in this article is to establish new lower and upper bounds for distance energy.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45854517","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}
Pub Date : 2020-07-10DOI: 10.22342/JIMS.26.2.871.185-191
M. R. Yudhanegara, S. Indratno, R. N. Sari
In this paper, we introduce an alternative approach as model for cluster analysis. The data were analyzed by rule-k-means algorithm. It's combine between k-means algorithm and rules. As an application, we use the simulate of item delivery data to classify items based on destination addresses. The goal is to map the item based on type of delivery vehicle. The clustering can be used as a recommendation to the item delivery service company.
{"title":"Clustering for Item Delivery Using Rule-K-Means","authors":"M. R. Yudhanegara, S. Indratno, R. N. Sari","doi":"10.22342/JIMS.26.2.871.185-191","DOIUrl":"https://doi.org/10.22342/JIMS.26.2.871.185-191","url":null,"abstract":"In this paper, we introduce an alternative approach as model for cluster analysis. The data were analyzed by rule-k-means algorithm. It's combine between k-means algorithm and rules. As an application, we use the simulate of item delivery data to classify items based on destination addresses. The goal is to map the item based on type of delivery vehicle. The clustering can be used as a recommendation to the item delivery service company.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-07-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"41534711","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.764.37-54
A. Ishaku, Nafiu Hussaini
This paper presents a sub-genomic Hepatitis C Virus (HCV) replication model which incorporates the rate of influx of HCV plus-strand RNA into Huh-7 cell and monitored its effects. The schematic diagram of HCV replication has been simplified. The model exhibits three equilibrium, namely: trivial equilibrium, healthy equilibrium and endemic equilibrium. Stability analysis of the model shows that the healthy equilibrium is globally asymptotically stable under certain condition. It is shown that increase in the rate of influx, increases the steady state level of total plus strand RNA, synthesized plus strand RNA, replicated plus strand RNA and NS5B in the system. Sensitivity and uncertainty analyses of the model (using the textit{basic replication number} (${mathcal R}_0$) as the response function) show that the top three PRCC-ranked parameters are the rate of influx, $k_0$ of HCV plus-strand RNA, the rate of production of translation complex ($T_c$) and the rate of degradation, $mu_{p}^{cyt}$, of plus-strand RNA $R_{P}^{cyt}$. Furthermore, the distribution of $mathcal{R}_0$ is between $[0.9999,, 1.0008]$ with a mean of $mathcal{R}_{0}=1.0003$.}}
{"title":"MODELLING THE EFFECTS OF HCV PLUS-STRAND RNA INFLUX INTO A CELL DURING HCV REPLICATION","authors":"A. Ishaku, Nafiu Hussaini","doi":"10.22342/JIMS.26.1.764.37-54","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.764.37-54","url":null,"abstract":"This paper presents a sub-genomic Hepatitis C Virus (HCV) replication model which incorporates the rate of influx of HCV plus-strand RNA into Huh-7 cell and monitored its effects. The schematic diagram of HCV replication has been simplified. The model exhibits three equilibrium, namely: trivial equilibrium, healthy equilibrium and endemic equilibrium. Stability analysis of the model shows that the healthy equilibrium is globally asymptotically stable under certain condition. It is shown that increase in the rate of influx, increases the steady state level of total plus strand RNA, synthesized plus strand RNA, replicated plus strand RNA and NS5B in the system. Sensitivity and uncertainty analyses of the model (using the textit{basic replication number} (${mathcal R}_0$) as the response function) show that the top three PRCC-ranked parameters are the rate of influx, $k_0$ of HCV plus-strand RNA, the rate of production of translation complex ($T_c$) and the rate of degradation, $mu_{p}^{cyt}$, of plus-strand RNA $R_{P}^{cyt}$. Furthermore, the distribution of $mathcal{R}_0$ is between $[0.9999,, 1.0008]$ with a mean of $mathcal{R}_{0}=1.0003$.}}","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42988788","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.731.1-21
M. Rashid
In this paper we define convex, strict convex and normal structures for sets in fuzzy cone metric spaces. Also, existence and uniqueness of a fixed point for non-self mappings with nonlinear contractive condition will be proved, using the notion of strictly convex structure. Moreover, we give some examples illustrate our results.
{"title":"Fixed point Theorems for Non-self mappings with nonlinear contractive condition in strictly convex FCM-spaces","authors":"M. Rashid","doi":"10.22342/JIMS.26.1.731.1-21","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.731.1-21","url":null,"abstract":"In this paper we define convex, strict convex and normal structures for sets in fuzzy cone metric spaces. Also, existence and uniqueness of a fixed point for non-self mappings with nonlinear contractive condition will be proved, using the notion of strictly convex structure. Moreover, we give some examples illustrate our results.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45815933","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.815.101-127
Giuseppe Di Fazio
The aim of this paper is to give a brief account on the problem of regularity for linear elliptic PDEs of the second order.
本文的目的是简要介绍二阶线性椭圆偏微分方程的正则性问题。
{"title":"Regularity for Elliptic Equations under Minimal Assumptions","authors":"Giuseppe Di Fazio","doi":"10.22342/JIMS.26.1.815.101-127","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.815.101-127","url":null,"abstract":"The aim of this paper is to give a brief account on the problem of regularity for linear elliptic PDEs of the second order.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47193536","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.818.137-164
D. Hakim
In this note we will discuss some results related to complex interpolation of Morrey spaces. We first recall the Riesz-Thorin interpolation theorem in Section 1. After that, we discuss a partial generalization of this theorem in Morrey spaces proved in cite{St}. We also discuss non-interpolation property of Morrey spaces given in cite{BRV99, RV}. In Section 3, we recall the definition of Calder'on's complex interpolation method and the description of complex interpolation of Lebesgue spaces. In Section 4, we discuss the description of complex interpolation of Morrey spaces given in cite{CPP98, HS2, Lemarie, LYY}. Finally, we discuss the description of complex interpolation of subspaces of Morrey spaces in the last section. This note is a summary of the current research about interpolation of Morrey spaces, generalized Morrey spaces, and their subspaces in cite{CPP98, HS, HS2, H, H4, Lemarie, LYY}.
{"title":"Calderon's Complex Interpolation of Morrey Spaces","authors":"D. Hakim","doi":"10.22342/JIMS.26.1.818.137-164","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.818.137-164","url":null,"abstract":"In this note we will discuss some results related to complex interpolation of Morrey spaces. We first recall the Riesz-Thorin interpolation theorem in Section 1. After that, we discuss a partial generalization of this theorem in Morrey spaces proved in cite{St}. We also discuss non-interpolation property of Morrey spaces given in cite{BRV99, RV}. In Section 3, we recall the definition of Calder'on's complex interpolation method and the description of complex interpolation of Lebesgue spaces. In Section 4, we discuss the description of complex interpolation of Morrey spaces given in cite{CPP98, HS2, Lemarie, LYY}. Finally, we discuss the description of complex interpolation of subspaces of Morrey spaces in the last section. This note is a summary of the current research about interpolation of Morrey spaces, generalized Morrey spaces, and their subspaces in cite{CPP98, HS, HS2, H, H4, Lemarie, LYY}.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43275481","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.772.55-63
R GirishV, P. Usha
A dominating set D of a graph G = (V;E) is a split dominating set if the induced graph hV Di is disconnected. The split domination number s(G) is the minimum cardinality of a split domination set. A graph G is called vertex split domination critical if s(Gv) < s(G) for every vertex v 2 G. A graph G is called edge split domination critical if s(G + e) < s(G) for every edge e in G. In this paper, whether for some standard graphs are split domination vertex critical or not are investigated and then characterized 2- ns-critical and 3- ns-critical graphs with respect to the diameter of a graph G with vertex removal. Further, it is shown that there is no existence of s-critical graph for edge addition.
{"title":"Split Domination Vertex Critical and Edge Critical Graphs","authors":"R GirishV, P. Usha","doi":"10.22342/JIMS.26.1.772.55-63","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.772.55-63","url":null,"abstract":"A dominating set D of a graph G = (V;E) is a split dominating set if the induced graph hV Di is disconnected. The split domination number s(G) is the minimum cardinality of a split domination set. A graph G is called vertex split domination critical if s(Gv) < s(G) for every vertex v 2 G. A graph G is called edge split domination critical if s(G + e) < s(G) for every edge e in G. In this paper, whether for some standard graphs are split domination vertex critical or not are investigated and then characterized 2- ns-critical and 3- ns-critical graphs with respect to the diameter of a graph G with vertex removal. Further, it is shown that there is no existence of s-critical graph for edge addition.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45474062","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}
Pub Date : 2020-03-01DOI: 10.22342/JIMS.26.1.795.74-100
Mohamed El-Borhamy, Alaaldeen N. Ahmed
This article presents the stability analysis of delay integro-differential equations with fractional order derivative via some approximation techniques for the derived nonlinear terms of characteristic exponents. Based on these techniques, the existence of some analytical solutions at the neighborhood of their equilibrium points is proved. Stability charts are constructed and so both of the critical time delay and critical frequency formulae are obtained. The impact of this work into the general RLC circuit applications exposing the delay and fractional order derivatives is discussed.
{"title":"Stability Analysis Of Delayed Fractional Integro-Differential Equations With Applications Of RLC Circuits","authors":"Mohamed El-Borhamy, Alaaldeen N. Ahmed","doi":"10.22342/JIMS.26.1.795.74-100","DOIUrl":"https://doi.org/10.22342/JIMS.26.1.795.74-100","url":null,"abstract":"This article presents the stability analysis of delay integro-differential equations with fractional order derivative via some approximation techniques for the derived nonlinear terms of characteristic exponents. Based on these techniques, the existence of some analytical solutions at the neighborhood of their equilibrium points is proved. Stability charts are constructed and so both of the critical time delay and critical frequency formulae are obtained. The impact of this work into the general RLC circuit applications exposing the delay and fractional order derivatives is discussed.","PeriodicalId":42206,"journal":{"name":"Journal of the Indonesian Mathematical Society","volume":null,"pages":null},"PeriodicalIF":0.3,"publicationDate":"2020-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"45341655","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}
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