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Annals of Pure and Applied Mathematics最新文献

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On the Non-Linear Diophantine Equation 61^x + 67^y = z^2 and 67^x + 73^y = z^2 非线性丢番图方程61^x + 67^y = z^2和67^x + 73^y = z^2
Annals of Pure and Applied Mathematics Pub Date : 2018-07-01 DOI: 10.22457/apam.v18n1a13
Satish Kumar, Sani Gupta, H. Kishan
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引用次数: 6
On the Solvability of the Diophantine Equation p^x+(p+8)^y=z^2 when p>3 and p+8 are Primes 当p>3且p+8为素数时丢番图方程p^x+(p+8)^y=z^2的可解性
Annals of Pure and Applied Mathematics Pub Date : 2018-07-01 DOI: 10.22457/apam.v18n1a2
Fernando Neres de Oliveira
{"title":"On the Solvability of the Diophantine Equation p^x+(p+8)^y=z^2 when p>3 and p+8 are Primes","authors":"Fernando Neres de Oliveira","doi":"10.22457/apam.v18n1a2","DOIUrl":"https://doi.org/10.22457/apam.v18n1a2","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-07-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129281255","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
Solution of the Erdös-Moser Equation 1+2^p+3^p+⋯〖+k〗^p=(k+1)^p Erdös-Moser方程1+2^p+3^p+⋯〖+k〗^p=(k+1)^p的解
Annals of Pure and Applied Mathematics Pub Date : 2018-05-01 DOI: 10.22457/apam.v18n2a12
David Stacha
{"title":"Solution of the Erdös-Moser Equation 1+2^p+3^p+⋯〖+k〗^p=(k+1)^p","authors":"David Stacha","doi":"10.22457/apam.v18n2a12","DOIUrl":"https://doi.org/10.22457/apam.v18n2a12","url":null,"abstract":"The Erdos-Moser equation (EM equation), named after Paul Erdos and Leo Moser, has been studied by many number theorists throughout history since combines addition, powers and summation together. An open and very interesting conjecture of Erdos-Moser states that there is no other solution of the EM equation than trivial 1+2=3. Investigation of the properties and identities of the EM equation and ultimately prove the conjecture is the main purpose of this article.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2018-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131125212","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 of Symmetric Positive Solutions for the FourthOrder Boundary Value Problem 四阶边值问题对称正解的存在性
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v22n2a06798
Juxia Da, Yanjie Zhao, Huan Zhang
{"title":"Existence of Symmetric Positive Solutions for the FourthOrder Boundary Value Problem","authors":"Juxia Da, Yanjie Zhao, Huan Zhang","doi":"10.22457/apam.v22n2a06798","DOIUrl":"https://doi.org/10.22457/apam.v22n2a06798","url":null,"abstract":"In this paper, we study the existence of positive solutions for a class of fourthorder two-point boundary value problems:","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"76 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"116656402","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: 2
More on Fuzzy Pre-γ-Open and Fuzzy Pre-γ-generalized Closed Sets 关于模糊Pre-γ-开和模糊Pre-γ-广义闭集的更多讨论
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v25n2a03852
C. Sivashanmugaraja
{"title":"More on Fuzzy Pre-γ-Open and Fuzzy Pre-γ-generalized Closed Sets","authors":"C. Sivashanmugaraja","doi":"10.22457/apam.v25n2a03852","DOIUrl":"https://doi.org/10.22457/apam.v25n2a03852","url":null,"abstract":"This study aims to continue the study of the properties of pre-γ-open and pre-γ-generalized closed sets in fuzzy topological spaces. Also, we introduce the concepts of fuzzy pre-γ-closed, fuzzy pre-γ-closure, fuzzy pre-γ-interior, and fuzzy preγ-generalized open sets. We prove that every fuzzy pre-γ-closed set is fuzzy pre-γgeneralized-closed but not converse. In addition, we introduce some characterizations and properties of these concepts. Finally, we investigate the relationship between these fuzzy sets.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"33 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123012502","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: 2
Approximative Analysis for Boundary Value Problems of Fractional Order via Topological Degree Method 分数阶边值问题的拓扑度逼近分析
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v25n1a02856
Taghareed A. Faree, Satish K. Panchal
{"title":"Approximative Analysis for Boundary Value Problems of Fractional Order via Topological Degree Method","authors":"Taghareed A. Faree, Satish K. Panchal","doi":"10.22457/apam.v25n1a02856","DOIUrl":"https://doi.org/10.22457/apam.v25n1a02856","url":null,"abstract":"This paper investigates the existence and uniqueness of a solution to the boundary value problems involving the Caputo fractional derivative in Banach space. We are applying the topological degree approach and fixed point theorem with topological structures in some appropriate situations. An example is propounded to uphold our outcomes.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"8 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"124589738","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: 2
Computation of E-Banhatti Nirmala Indices of Tetrameric 1,3-Adamantane 四聚1,3-金刚烷E-Banhatti Nirmala指数的计算
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v26n2a08892
V.R.Kulli
{"title":"Computation of E-Banhatti Nirmala Indices of Tetrameric 1,3-Adamantane","authors":"V.R.Kulli","doi":"10.22457/apam.v26n2a08892","DOIUrl":"https://doi.org/10.22457/apam.v26n2a08892","url":null,"abstract":"In this paper, we introduce the E-Banhatti Nirmala index and the modified EBanhatti Nirmala index and their corresponding exponentials of a graph. Furthermore, we determine these newly defined E-Banhatti Nirmala indices and their corresponding exponentials for some standard graphs and tetrameric 1,3-Adamantane.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130534050","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: 2
Analytical Solution of Time-Fractional Klien-Gordon Equation by using Laplace-Adomian Decomposition Method 用Laplace-Adomian分解法解析解时间分数阶Klien-Gordon方程
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v24n1a04836
R. K. Bairwa, Karan Singh
{"title":"Analytical Solution of Time-Fractional Klien-Gordon Equation by using Laplace-Adomian Decomposition Method","authors":"R. K. Bairwa, Karan Singh","doi":"10.22457/apam.v24n1a04836","DOIUrl":"https://doi.org/10.22457/apam.v24n1a04836","url":null,"abstract":". In the present article, we use the Laplace-Adomian decomposition method to investigate the approximate analytical solution of linear and non-linear time-fractional Klien-Gordon equations with appropriate initial conditions. The derivatives considered herein, are taken in Caputo’s sense. Analytical results obtained by the proposed method are in series form and numerical computation indicates that the procedure of the suggested technique is very simple and straightforward","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"4 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"130975447","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
A Review of Vacation Queueing Models in Different Framework 不同框架下的假期排队模型综述
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.v24n2a02849
A. Panta, R. Ghimire, D.Panthi, S. R. Pant
{"title":"A Review of Vacation Queueing Models in Different Framework","authors":"A. Panta, R. Ghimire, D.Panthi, S. R. Pant","doi":"10.22457/apam.v24n2a02849","DOIUrl":"https://doi.org/10.22457/apam.v24n2a02849","url":null,"abstract":"This paper deals with the extensive survey of the vacation queueing systems from its birth in1975 to till date. As the time passes on old-provisions cannot tackle new-problem so new concepts have to be developed. Some of the threshold policies that have been developed from time to time have been reported. Some of the prominent techniques of solution of vacation queueing system have also been cited. The challenges on tackling the problems of vacation queueing systems have been discussed.","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"92 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"115969114","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
Socioeconomic and Demographic Determinants of Birth Interval in Bangladesh: A Statistical Analysis Using Survival Mixed Regression Model and Proportional Hazard Regression Model 孟加拉国出生间隔的社会经济和人口统计学决定因素:使用生存混合回归模型和比例风险回归模型的统计分析
Annals of Pure and Applied Mathematics Pub Date : 1900-01-01 DOI: 10.22457/apam.608v19n1a11
Sharlene Alauddin, M. Islam, M. Haque
{"title":"Socioeconomic and Demographic Determinants of Birth Interval in Bangladesh: A Statistical Analysis Using Survival Mixed Regression Model and Proportional Hazard Regression Model","authors":"Sharlene Alauddin, M. Islam, M. Haque","doi":"10.22457/apam.608v19n1a11","DOIUrl":"https://doi.org/10.22457/apam.608v19n1a11","url":null,"abstract":"","PeriodicalId":305863,"journal":{"name":"Annals of Pure and Applied Mathematics","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"123205581","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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