{"title":"Existence and uniqueness of solutions for fractional differential equations with p-Laplacian operator and integral boundary conditions","authors":"Lijing Duan, Changhong Yang, Tianli Li, Jingli Xie","doi":"10.12988/ams.2023.918553","DOIUrl":"https://doi.org/10.12988/ams.2023.918553","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"12 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135446981","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.918530
M. H. U. Molla, Nazmul Sharif
In this study, an extended energy balance method for solving nonlinear oscillators with non-rational restoring force has been presented. The classical energy balance methods cannot apply to solve nonlinear oscillators with non-rational restoring force. To overcome this difficulty, a laborious study is to be conducted to determine the solution technique that provides better results as well as requires minimum computational efforts. An example of complicated nonlinear oscillator with non-rational restoring force arising in the field of engineering and other disciplines has been provided. The accuracy of the approximate results has been compared with other existing results.
{"title":"Energy balance method for solving nonlinear oscillators with non-rational restoring force","authors":"M. H. U. Molla, Nazmul Sharif","doi":"10.12988/ams.2023.918530","DOIUrl":"https://doi.org/10.12988/ams.2023.918530","url":null,"abstract":"In this study, an extended energy balance method for solving nonlinear oscillators with non-rational restoring force has been presented. The classical energy balance methods cannot apply to solve nonlinear oscillators with non-rational restoring force. To overcome this difficulty, a laborious study is to be conducted to determine the solution technique that provides better results as well as requires minimum computational efforts. An example of complicated nonlinear oscillator with non-rational restoring force arising in the field of engineering and other disciplines has been provided. The accuracy of the approximate results has been compared with other existing results.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"20 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"136206973","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917393
Wei-Shih Du
The main purpose of this paper is the study of the generalization of some results given in [H. Huang, W.-S. Du, On a new integral inequality: Generalizations and applications, Axioms 11(9) (2022), 458]. New integral inequalities and some generalizations of Huang-Du’s integral inequalities are established
{"title":"New integral inequalities and generalizations of Huang-Du's integral inequality","authors":"Wei-Shih Du","doi":"10.12988/ams.2023.917393","DOIUrl":"https://doi.org/10.12988/ams.2023.917393","url":null,"abstract":"The main purpose of this paper is the study of the generalization of some results given in [H. Huang, W.-S. Du, On a new integral inequality: Generalizations and applications, Axioms 11(9) (2022), 458]. New integral inequalities and some generalizations of Huang-Du’s integral inequalities are established","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"37 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"75859349","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917321
Eraste Nzosaba
{"title":"International arbitration as a means of settling investment disputes under Burundian law","authors":"Eraste Nzosaba","doi":"10.12988/ams.2023.917321","DOIUrl":"https://doi.org/10.12988/ams.2023.917321","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"30 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83791961","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917443
Donatien Ciza, Ildephonse Sindayigaya
In March 2022, the government of Burundi put in place a law on the prevention and repression of cybercrime. The purpose of this study is to analyze whether this law n°1/10 of March 22, 2022, on the prevention and repression of cybercrime incriminates one of the new forms of sexual exploitation and abuse of children in this informational world: the sexual blackmail of children online. A reading of paragraph six of the seventh section of this cybercrime law, entitled "Threats, blackmail, and publication of rumors," might lead one to believe that Burundian lawmakers have criminalized acts of online blackmail. An analysis of the provisions of articles 50, 51, and 52 of this law on cybercrime reveals that acts of online blackmail are not criminalized, much fewer acts of sexual blackmail of children online. On the contrary, only threats with racist or xenophobic motivation, attacks against the confidentiality, integrity, and availability of data and computer systems, and the publication of rumors are criminalized.
{"title":"The repression of online sexual blackmail of children in Burundian positive law","authors":"Donatien Ciza, Ildephonse Sindayigaya","doi":"10.12988/ams.2023.917443","DOIUrl":"https://doi.org/10.12988/ams.2023.917443","url":null,"abstract":"In March 2022, the government of Burundi put in place a law on the prevention and repression of cybercrime. The purpose of this study is to analyze whether this law n°1/10 of March 22, 2022, on the prevention and repression of cybercrime incriminates one of the new forms of sexual exploitation and abuse of children in this informational world: the sexual blackmail of children online. A reading of paragraph six of the seventh section of this cybercrime law, entitled \"Threats, blackmail, and publication of rumors,\" might lead one to believe that Burundian lawmakers have criminalized acts of online blackmail. An analysis of the provisions of articles 50, 51, and 52 of this law on cybercrime reveals that acts of online blackmail are not criminalized, much fewer acts of sexual blackmail of children online. On the contrary, only threats with racist or xenophobic motivation, attacks against the confidentiality, integrity, and availability of data and computer systems, and the publication of rumors are criminalized.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"40 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90877775","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917267
Menus Nkurunziza, L. Vermeire
In case of a normal population the studentized sample mean has the Student distribution with the sample size minus one as degrees of freedom. Simulation reports in the literature concluded that this distribution may be hold on as an acceptable approximation, and is often better than the classical normal approximation, in case of a general finite variance population provided moderate to large sample size. We provide a mathematical proof and add simulation evidence. A comparison of the performances of both approximations for the true distribution of the studentized statistic is given for the cumulative distribution function and for the quantile function, by asymptotic expansions and by simulations. A population condition such that the student approximation is universally better than the normal approximation is obtained.
{"title":"Review on approximation approach for the distribution of the studentized mean","authors":"Menus Nkurunziza, L. Vermeire","doi":"10.12988/ams.2023.917267","DOIUrl":"https://doi.org/10.12988/ams.2023.917267","url":null,"abstract":"In case of a normal population the studentized sample mean has the Student distribution with the sample size minus one as degrees of freedom. Simulation reports in the literature concluded that this distribution may be hold on as an acceptable approximation, and is often better than the classical normal approximation, in case of a general finite variance population provided moderate to large sample size. We provide a mathematical proof and add simulation evidence. A comparison of the performances of both approximations for the true distribution of the studentized statistic is given for the cumulative distribution function and for the quantile function, by asymptotic expansions and by simulations. A population condition such that the student approximation is universally better than the normal approximation is obtained.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"18 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81826009","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917465
M. Aliano, Lucianna Cananà, T. Ciano, M. Ferrara, S. Ragni
We employ an epidemiological approach to explain how risk may spread in a given economic system. Precisely, the analogy between economic systems and ecosystems is exploited and an original Susceptible-Infected-Recovered model with time delay is adopted to describe risk contagion by a nonlinear dynamics. The economic player population is
{"title":"A nonlinear dynamics for risk contagion: theoretical remarks","authors":"M. Aliano, Lucianna Cananà, T. Ciano, M. Ferrara, S. Ragni","doi":"10.12988/ams.2023.917465","DOIUrl":"https://doi.org/10.12988/ams.2023.917465","url":null,"abstract":"We employ an epidemiological approach to explain how risk may spread in a given economic system. Precisely, the analogy between economic systems and ecosystems is exploited and an original Susceptible-Infected-Recovered model with time delay is adopted to describe risk contagion by a nonlinear dynamics. The economic player population is","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"4 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85017129","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917347
Monique Dalud-Vincent
In this paper, we present the concepts of articulation point and weak point in a space and in a network in Pretopology. We show, in the case of strong connectivity, some properties allowing to locate them in a network
{"title":"Articulation point and weak point in a space and in a network in pretopology: the case of the strong connectivity","authors":"Monique Dalud-Vincent","doi":"10.12988/ams.2023.917347","DOIUrl":"https://doi.org/10.12988/ams.2023.917347","url":null,"abstract":"In this paper, we present the concepts of articulation point and weak point in a space and in a network in Pretopology. We show, in the case of strong connectivity, some properties allowing to locate them in a network","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"23 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73480510","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.917392
Kishan Singh Shekhawat, Subhash Yadav
In the present study, two-dimensional flow and heat transfer of a viscous fluid through a channel bounded by a flat deformable sheet and a naturally permeable bed is considered when the upper sheet and the lower bed are maintained at different temperatures. The results for temperature distribution, and rate of heat transfer have been obtained and discussed.
{"title":"Heat transfer in viscous flow through a channel bounded by a flat deformable sheet and a naturally permeable bed","authors":"Kishan Singh Shekhawat, Subhash Yadav","doi":"10.12988/ams.2023.917392","DOIUrl":"https://doi.org/10.12988/ams.2023.917392","url":null,"abstract":"In the present study, two-dimensional flow and heat transfer of a viscous fluid through a channel bounded by a flat deformable sheet and a naturally permeable bed is considered when the upper sheet and the lower bed are maintained at different temperatures. The results for temperature distribution, and rate of heat transfer have been obtained and discussed.","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"22 1","pages":""},"PeriodicalIF":3.5,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81254013","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2023-01-01DOI: 10.12988/ams.2023.918532
Ahmed Drissi
{"title":"A new cryptanalysis model based on random and quantum walks","authors":"Ahmed Drissi","doi":"10.12988/ams.2023.918532","DOIUrl":"https://doi.org/10.12988/ams.2023.918532","url":null,"abstract":"","PeriodicalId":49860,"journal":{"name":"Mathematical Models & Methods in Applied Sciences","volume":"23 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"135010471","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":1,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
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