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A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative 具有分段分数阶导数的非线性分数阶反应-平流-扩散方程的数值解法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-01-12 DOI: 10.1007/s40096-021-00451-z
M. Heydari, A. Atangana
{"title":"A numerical method for nonlinear fractional reaction–advection–diffusion equation with piecewise fractional derivative","authors":"M. Heydari, A. Atangana","doi":"10.1007/s40096-021-00451-z","DOIUrl":"https://doi.org/10.1007/s40096-021-00451-z","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-01-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84598325","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 8
Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative 符合分数阶导数意义下修正非线性Schrödinger方程精确解的结构
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-01-09 DOI: 10.1007/s40096-021-00453-x
Yeşim Sağlam Özkan, Esra Ünal Yılmaz
{"title":"Structures of exact solutions for the modified nonlinear Schrödinger equation in the sense of conformable fractional derivative","authors":"Yeşim Sağlam Özkan, Esra Ünal Yılmaz","doi":"10.1007/s40096-021-00453-x","DOIUrl":"https://doi.org/10.1007/s40096-021-00453-x","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-01-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83884165","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3
Application of Pell collocation method for solving the general form of time-fractional Burgers equations Pell配置法在求解时间分数型Burgers方程一般形式中的应用
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-01-07 DOI: 10.1007/s40096-021-00452-y
M. Taghipour, H. Aminikhah
{"title":"Application of Pell collocation method for solving the general form of time-fractional Burgers equations","authors":"M. Taghipour, H. Aminikhah","doi":"10.1007/s40096-021-00452-y","DOIUrl":"https://doi.org/10.1007/s40096-021-00452-y","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2022-01-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"83777375","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 7
A new statistical approach to model the counts of novel coronavirus cases. 新型冠状病毒病例计数模型的新统计方法。
IF 1.9 4区 数学
Mathematical Sciences Pub Date : 2022-01-01 Epub Date: 2021-03-16 DOI: 10.1007/s40096-021-00390-9
M El-Morshedy, Emrah Altun, M S Eliwa
{"title":"A new statistical approach to model the counts of novel coronavirus cases.","authors":"M El-Morshedy, Emrah Altun, M S Eliwa","doi":"10.1007/s40096-021-00390-9","DOIUrl":"10.1007/s40096-021-00390-9","url":null,"abstract":"<p><p>This study proposes new statistical tools to analyze the counts of the daily coronavirus cases and deaths. Since the daily new deaths exhibit highly over-dispersion, we introduce a new two-parameter discrete distribution, called <i>discrete generalized Lindley</i>, which enables us to model all kinds of dispersion such as under-, equi-, and over-dispersion. Additionally, we introduce a new count regression model based on the proposed distribution to investigate the effects of the important risk factors on the counts of deaths for OECD countries. Three data sets are analyzed with proposed models and competitive models. Empirical findings show that air pollution, the proportion of obesity, and smokers in a population do not affect the counts of deaths for OECD countries. The interesting empirical result is that the countries with having higher alcohol consumption have lower counts of deaths.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":1.9,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7960885/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82607065","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Some computational convergent iterative algorithms to solve nonlinear problems 求解非线性问题的几种计算收敛迭代算法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-11-30 DOI: 10.1007/s40096-021-00448-8
M. Rabbani, Ji Huan He, M. Düz
{"title":"Some computational convergent iterative algorithms to solve nonlinear problems","authors":"M. Rabbani, Ji Huan He, M. Düz","doi":"10.1007/s40096-021-00448-8","DOIUrl":"https://doi.org/10.1007/s40096-021-00448-8","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-11-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"90481395","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 4
Correction to: Numerical methods for solving Schröinger equations in complex reproducing kernel Hilbert spaces 修正:在复杂再现核希尔伯特空间中求解Schröinger方程的数值方法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-11-27 DOI: 10.1007/s40096-021-00449-7
F. Geng
{"title":"Correction to: Numerical methods for solving Schröinger equations in complex reproducing kernel Hilbert spaces","authors":"F. Geng","doi":"10.1007/s40096-021-00449-7","DOIUrl":"https://doi.org/10.1007/s40096-021-00449-7","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-11-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82730500","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method 基于c-配点法的分布阶扩散问题的数值解
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-11-21 DOI: 10.1007/s40096-021-00447-9
Shadi Taherkhani, I. N. Khalilsaraye, B. Ghayebi
{"title":"Numerical solution of the diffusion problem of distributed order based on the Sinc-collocation method","authors":"Shadi Taherkhani, I. N. Khalilsaraye, B. Ghayebi","doi":"10.1007/s40096-021-00447-9","DOIUrl":"https://doi.org/10.1007/s40096-021-00447-9","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-11-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72845212","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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
A new method for solving linear programming problems using Z-numbers’ ranking 利用z数排序求解线性规划问题的新方法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-11-15 DOI: 10.1007/s40096-021-00446-w
Fatemeh Hasankhani, B. Daneshian, T. Allahviranloo, F. M. Khiyabani
{"title":"A new method for solving linear programming problems using Z-numbers’ ranking","authors":"Fatemeh Hasankhani, B. Daneshian, T. Allahviranloo, F. M. Khiyabani","doi":"10.1007/s40096-021-00446-w","DOIUrl":"https://doi.org/10.1007/s40096-021-00446-w","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-11-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"84548855","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 5
On the fractional integral inclusions having exponential kernels for interval-valued convex functions 区间值凸函数的指数核分数积分包含
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-10-29 DOI: 10.1007/s40096-021-00445-x
Taichun Zhou, Zhengrong Yuan, T. Du
{"title":"On the fractional integral inclusions having exponential kernels for interval-valued convex functions","authors":"Taichun Zhou, Zhengrong Yuan, T. Du","doi":"10.1007/s40096-021-00445-x","DOIUrl":"https://doi.org/10.1007/s40096-021-00445-x","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-10-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87421033","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 18
Application of finite difference method in solving a second- and fourth-order PDE blending denoising model 有限差分法在求解二阶和四阶偏微分方程混合去噪模型中的应用
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-10-26 DOI: 10.1007/s40096-021-00444-y
M. R. Eslahchi, Sakine Esmaili, Neda Namaki, R. Salehi
{"title":"Application of finite difference method in solving a second- and fourth-order PDE blending denoising model","authors":"M. R. Eslahchi, Sakine Esmaili, Neda Namaki, R. Salehi","doi":"10.1007/s40096-021-00444-y","DOIUrl":"https://doi.org/10.1007/s40096-021-00444-y","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"79507418","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"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: 3
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