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A Legendre spectral-finite difference method for Caputo–Fabrizio time-fractional distributed-order diffusion equation Caputo-Fabrizio时间分数阶分布阶扩散方程的Legendre谱有限差分法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-09-08 DOI: 10.1007/s40096-021-00430-4
M. Fardi, J. Alidousti
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引用次数: 2
A unique weak solution for the fractional integro-differential schrödinger equations 分数阶积分微分schrödinger方程的唯一弱解
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-09-07 DOI: 10.1007/s40096-021-00435-z
E. Shivanian, S. J. H. Ghoncheh, H. Goudarzi
{"title":"A unique weak solution for the fractional integro-differential schrödinger equations","authors":"E. Shivanian, S. J. H. Ghoncheh, H. Goudarzi","doi":"10.1007/s40096-021-00435-z","DOIUrl":"https://doi.org/10.1007/s40096-021-00435-z","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"76896847","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
Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory 分形非多项式样条法求解板挠曲理论中四阶边值问题
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-09-06 DOI: 10.1007/s40096-021-00429-x
Zainav Khatoon, Talat Sultana, Arshad Khan
{"title":"Fractal non-polynomial spline method for the solution of fourth-order boundary value problems in plate deflection theory","authors":"Zainav Khatoon, Talat Sultana, Arshad Khan","doi":"10.1007/s40096-021-00429-x","DOIUrl":"https://doi.org/10.1007/s40096-021-00429-x","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-09-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"88876253","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
A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations 求解一维和二维非线性Burgers方程的泰勒-切比雪夫近似技术
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-09-01 DOI: 10.1007/s40096-021-00433-1
M. Izadi, Ş. Yüzbaşı, D. Baleanu
{"title":"A Taylor–Chebyshev approximation technique to solve the 1D and 2D nonlinear Burgers equations","authors":"M. Izadi, Ş. Yüzbaşı, D. Baleanu","doi":"10.1007/s40096-021-00433-1","DOIUrl":"https://doi.org/10.1007/s40096-021-00433-1","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74197220","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
Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation 具有符合时-空分数格吉科夫-伊万诺夫方程的摄动光学孤子
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-08-28 DOI: 10.1007/s40096-021-00431-3
M. Younis, M. Bilal, S. Rehman, A. Seadawy, S. Rizvi
{"title":"Perturbed optical solitons with conformable time-space fractional Gerdjikov–Ivanov equation","authors":"M. Younis, M. Bilal, S. Rehman, A. Seadawy, S. Rizvi","doi":"10.1007/s40096-021-00431-3","DOIUrl":"https://doi.org/10.1007/s40096-021-00431-3","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-08-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89575094","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: 16
An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations 求解高阶Volterra-Fredholm积分微分方程的改进径向基函数法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-08-24 DOI: 10.1007/s40096-021-00432-2
Farnaz Farshadmoghadam, Haman Deilami Azodi, M. Yaghouti
{"title":"An improved radial basis functions method for the high-order Volterra–Fredholm integro-differential equations","authors":"Farnaz Farshadmoghadam, Haman Deilami Azodi, M. Yaghouti","doi":"10.1007/s40096-021-00432-2","DOIUrl":"https://doi.org/10.1007/s40096-021-00432-2","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-08-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77534550","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
A note on linear non-Newtonian Volterra integral equations 关于线性非牛顿沃尔泰拉积分方程的注解
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-08-18 DOI: 10.1007/s40096-021-00427-z
Nihan Güngör
{"title":"A note on linear non-Newtonian Volterra integral equations","authors":"Nihan Güngör","doi":"10.1007/s40096-021-00427-z","DOIUrl":"https://doi.org/10.1007/s40096-021-00427-z","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-08-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"91206133","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: 2
Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation 双曲电报方程的四阶三次b样条配点法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-08-14 DOI: 10.1007/s40096-021-00428-y
Suruchi Singh, Swarn Singh, A. Aggarwal
{"title":"Fourth-order cubic B-spline collocation method for hyperbolic telegraph equation","authors":"Suruchi Singh, Swarn Singh, A. Aggarwal","doi":"10.1007/s40096-021-00428-y","DOIUrl":"https://doi.org/10.1007/s40096-021-00428-y","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"82431306","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
A numerical method to solve fractional pantograph differential equations with residual error analysis 用残差分析方法求解分数阶受电弓微分方程
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-08-06 DOI: 10.1007/s40096-021-00426-0
Elcin Gokmen, O. Isik
{"title":"A numerical method to solve fractional pantograph differential equations with residual error analysis","authors":"Elcin Gokmen, O. Isik","doi":"10.1007/s40096-021-00426-0","DOIUrl":"https://doi.org/10.1007/s40096-021-00426-0","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"74410201","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
Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena 修正小波法求解多型变阶分数阶偏微分方程的现象建模
IF 2 4区 数学
Mathematical Sciences Pub Date : 2021-07-25 DOI: 10.1007/s40096-021-00425-1
H. Dehestani, Y. Ordokhani, M. Razzaghi
{"title":"Modified wavelet method for solving multitype variable-order fractional partial differential equations generated from the modeling of phenomena","authors":"H. Dehestani, Y. Ordokhani, M. Razzaghi","doi":"10.1007/s40096-021-00425-1","DOIUrl":"https://doi.org/10.1007/s40096-021-00425-1","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":null,"pages":null},"PeriodicalIF":2.0,"publicationDate":"2021-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73639491","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
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