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Functional modelling of Telecommunications Data 电信数据的功能建模
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2022-01-01 DOI: 10.3846/mma.2022.14043
Algimantas Birbilas, A. Račkauskas
{"title":"Functional modelling of Telecommunications Data","authors":"Algimantas Birbilas, A. Račkauskas","doi":"10.3846/mma.2022.14043","DOIUrl":"https://doi.org/10.3846/mma.2022.14043","url":null,"abstract":"","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89903057","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Inertial Mann-Krasnoselskii Algorithm with Self adaptive stepsize for Split variational Inclusion Problem and paramonotone Equilibria 拆分变分包含问题及顺单调平衡点的自适应步长惯性Mann-Krasnoselskii算法
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2022-01-01 DOI: 10.3846/mma.2022.13949
L. Jolaoso, A. A. Mebawondu, O. Mewomo
{"title":"Inertial Mann-Krasnoselskii Algorithm with Self adaptive stepsize for Split variational Inclusion Problem and paramonotone Equilibria","authors":"L. Jolaoso, A. A. Mebawondu, O. Mewomo","doi":"10.3846/mma.2022.13949","DOIUrl":"https://doi.org/10.3846/mma.2022.13949","url":null,"abstract":"","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"85462619","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Robust numerical method for singularly perturbed convection-diffusion Type Problems with non-Local boundary condition 具有非局部边界条件的奇摄动对流扩散型问题的鲁棒数值方法
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2022-01-01 DOI: 10.3846/mma.2022.14256
H. Debela, M. Woldaregay, G. Duressa
{"title":"Robust numerical method for singularly perturbed convection-diffusion Type Problems with non-Local boundary condition","authors":"H. Debela, M. Woldaregay, G. Duressa","doi":"10.3846/mma.2022.14256","DOIUrl":"https://doi.org/10.3846/mma.2022.14256","url":null,"abstract":"","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76061176","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
On singular solutions of the stationary Navier-Stokes System in Power Cusp Domains 幂尖域上平稳Navier-Stokes系统的奇异解
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2021-11-26 DOI: 10.3846/mma.2021.13836
K. Pileckas, A. Raciene
{"title":"On singular solutions of the stationary Navier-Stokes System in Power Cusp Domains","authors":"K. Pileckas, A. Raciene","doi":"10.3846/mma.2021.13836","DOIUrl":"https://doi.org/10.3846/mma.2021.13836","url":null,"abstract":"The boundary value problem for the steady Navier–Stokes system is considered in a 2D bounded domain with the boundary having a power cusp singularity at the point O. The case of a boundary value with a nonzero flow rate is studied. In this case there is a source/sink in O and the solution necessarily has an infinite Dirichlet integral. The formal asymptotic expansion of the solution near the singular point is constructed and the existence of a solution having this asymptotic decomposition is proved.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2021-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78583154","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Self-Similarity Techniques for Chaotic attractors with Many Scrolls using Step Series switching 基于阶跃级数交换的多卷混沌吸引子自相似技术
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2021-11-26 DOI: 10.3846/mma.2021.13678
E. D. Goufo, C. Ravichandran, GUNVANT ACHUTRAO BIRAJDAR
{"title":"Self-Similarity Techniques for Chaotic attractors with Many Scrolls using Step Series switching","authors":"E. D. Goufo, C. Ravichandran, GUNVANT ACHUTRAO BIRAJDAR","doi":"10.3846/mma.2021.13678","DOIUrl":"https://doi.org/10.3846/mma.2021.13678","url":null,"abstract":"Highly applied in machining, image compressing, network traffic prediction, biological dynamics, nerve dendrite pattern and so on, self-similarity dynamic represents a part of fractal processes where an object is reproduced exactly or approximately exact to a part of itself. These reproduction processes are also very important and captivating in chaos theory. They occur naturally in our environment in the form of growth spirals, romanesco broccoli, trees and so on. Seeking alternative ways to reproduce self-similarity dynamics has called the attention of many authors working in chaos theory since the range of applications is quite wide. In this paper, three combined notions, namely the step series switching process, the Julia’s technique and the fractal-fractional dynamic are used to create various forms of self-similarity dynamics in chaotic systems of attractors, initially with two, five and seven scrolls. In each case, the solvability of the model is addressed via numerical techniques and related graphical simulations are provided. It appears that the initial systems are able to trigger a self-similarity process that generates the exact or approximately exact copy of itself or part of itself. Moreover, the dynamics of the copies are impacted by some model’s parameters involved in the process. Using mathematical concepts to re-create features that usually occur in a natural way proves to be a prowess as related applications are many for engineers.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2021-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72435655","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 28
On the Maximum number of period annuli for second order conservative equations 二阶保守方程的最大周期环数
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2021-11-26 DOI: 10.3846/mma.2021.13979
A. Gritsans, Inara Yermachenko
{"title":"On the Maximum number of period annuli for second order conservative equations","authors":"A. Gritsans, Inara Yermachenko","doi":"10.3846/mma.2021.13979","DOIUrl":"https://doi.org/10.3846/mma.2021.13979","url":null,"abstract":"We consider a second order scalar conservative differential equation whose potential function is a Morse function with a finite number of critical points and is unbounded at infinity. We give an upper bound for the number of nonglobal nontrivial period annuli of the equation and prove that the upper bound obtained is sharp. We use tree theory in our considerations.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2021-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79334010","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Differential equations with tempered ψ-Caputo fractional derivative 带调质ψ-Caputo分数阶导数的微分方程
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2021-11-26 DOI: 10.3846/mma.2021.13252
M. Medved', Eva Brestovanská
{"title":"Differential equations with tempered ψ-Caputo fractional derivative","authors":"M. Medved', Eva Brestovanská","doi":"10.3846/mma.2021.13252","DOIUrl":"https://doi.org/10.3846/mma.2021.13252","url":null,"abstract":"In this paper we define a new type of the fractional derivative, which we call tempered Ψ−Caputo fractional derivative. It is a generalization of the tempered Caputo fractional derivative and of the Ψ−Caputo fractional derivative. The Cauchy problem for fractional differential equations with this type of derivative is discussed and some existence and uniqueness results are proved. We present a Henry-Gronwall type inequality for an integral inequality with the tempered Ψ−fractional integral. This inequality is applied in the proof of an existence theorem. A result on a representation of solutions of linear systems of Ψ−Caputo fractional differential equations is proved and in the last section an example is presented.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2021-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87785352","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 6
An existence Result for quasilinear parabolic Systems with Lower order Terms 具有低阶项的拟线性抛物型系统的一个存在性结果
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2021-11-26 DOI: 10.3846/mma.2021.13553
Farah Balaadich, E. Azroul
{"title":"An existence Result for quasilinear parabolic Systems with Lower order Terms","authors":"Farah Balaadich, E. Azroul","doi":"10.3846/mma.2021.13553","DOIUrl":"https://doi.org/10.3846/mma.2021.13553","url":null,"abstract":"In this paper we prove the existence of weak solutions for a class of quasilinear parabolic systems, which correspond to diffusion problems, in the form where Ω is a bounded open domain of be given and The function v belongs to is in a moving and dissolving substance, the dissolution is described by f and the motion by g. We prove the existence result by using Galerkin’s approximation and the theory of Young measures.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2021-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77280907","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Function-on-function linear quantile Regression 函数对函数线性分位数回归
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2021-11-09 DOI: 10.3846/mma.2022.14664
U. Beyaztas, H. Shang
{"title":"Function-on-function linear quantile Regression","authors":"U. Beyaztas, H. Shang","doi":"10.3846/mma.2022.14664","DOIUrl":"https://doi.org/10.3846/mma.2022.14664","url":null,"abstract":"In this study, we propose a function-on-function linear quantile regression model that allows for more than one functional predictor to establish a more flexible and robust approach. The proposed model is first transformed into a finite-dimensional space via the functional principal component analysis paradigm in the estimation phase. It is then approximated using the estimated functional principal component functions, and the estimated parameter of the quantile regression model is constructed based on the principal component scores. In addition, we propose a Bayesian information criterion to determine the optimum number of truncation constants used in the functional principal component decomposition. Moreover, a stepwise forward procedure and the Bayesian information criterion are used to determine the significant predictors for including in the model. We employ a nonparametric bootstrap procedure to construct prediction intervals for the response functions. The finite sample performance of the proposed method is evaluated via several Monte Carlo experiments and an empirical data example, and the results produced by the proposed method are compared with the ones from existing models. *Postal address: Department of Statistics, Marmara University, Goztepe Campus, 34722, Istanbul, Turkey; Email: ufuk.beyaztas@marmara.edu.tr 1 ar X iv :2 11 1. 05 37 4v 1 [ st at .M E ] 9 N ov 2 02 1","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2021-11-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"78290049","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 1
Third-order generalized discontinuous impulsive Problems on the half-Line 半线上的三阶广义不连续脉冲问题
IF 1.8 3区 数学
Mathematical Modelling and Analysis Pub Date : 2021-10-28 DOI: 10.3846/mma.2021.12557
F. Minhós, Rui Carapinha
{"title":"Third-order generalized discontinuous impulsive Problems on the half-Line","authors":"F. Minhós, Rui Carapinha","doi":"10.3846/mma.2021.12557","DOIUrl":"https://doi.org/10.3846/mma.2021.12557","url":null,"abstract":"In this paper, we improve the existing results in the literature by presenting weaker sufficient conditions for the solvability of a third-order impulsive problem on the half-line, having generalized impulse effects. More precisely, our nonlinearities do not need to be positive nor sublinear and the monotone assumptions are local ones. Our method makes use of some truncation and perturbed techniques and on the equiconvergence at infinity and the impulsive points. The last section contains an application to a boundary layer flow problem over a stretching sheet with and without heat transfer.","PeriodicalId":49861,"journal":{"name":"Mathematical Modelling and Analysis","volume":null,"pages":null},"PeriodicalIF":1.8,"publicationDate":"2021-10-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74193634","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 2
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