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On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels 含和不含奇异核分数算子的混沌系统建模与数值离散
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-06-24 DOI: 10.1007/s40096-022-00478-w
N. Sene
{"title":"On the modeling and numerical discretizations of a chaotic system via fractional operators with and without singular kernels","authors":"N. Sene","doi":"10.1007/s40096-022-00478-w","DOIUrl":"https://doi.org/10.1007/s40096-022-00478-w","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"35 1","pages":"517 - 537"},"PeriodicalIF":2.0,"publicationDate":"2022-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87205545","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
Correction to: Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem 修正:二维非线性最优控制问题的鲁棒二元多项式格式与收敛分析
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-06-07 DOI: 10.1007/s40096-022-00476-y
Asiyeh Ebrahimzadeh, Samaneh Panjeh Ali Beik
{"title":"Correction to: Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem","authors":"Asiyeh Ebrahimzadeh, Samaneh Panjeh Ali Beik","doi":"10.1007/s40096-022-00476-y","DOIUrl":"https://doi.org/10.1007/s40096-022-00476-y","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"19 1","pages":"539 - 539"},"PeriodicalIF":2.0,"publicationDate":"2022-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"80045178","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
Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method 采用高阶预测校正格式和五次b样条配点法对RLW方程进行积分
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-05-31 DOI: 10.1007/s40096-022-00475-z
Bülent Saka, İdris Dağ, Ozlem Ersoy Hepson
{"title":"Integration of the RLW equation using higher-order predictor–corrector scheme and quintic B-spline collocation method","authors":"Bülent Saka, İdris Dağ, Ozlem Ersoy Hepson","doi":"10.1007/s40096-022-00475-z","DOIUrl":"https://doi.org/10.1007/s40096-022-00475-z","url":null,"abstract":"<p>Solitary wave solutions are studied by way of the regularized long wave (RLW) equation. RLW equation is fully integrated by using combination of the quintic collocation method and predictor–corrector method. The implementation of the new presented method is shown in the RLW equation. Accuracy of numerical solutions of the RLW equation is seen to be increased by employing the predictor–corrector time integrator for the collocation method. Comparison of results is done with some earlier prosperous methods. Four problems are tested to show validity and efficiency of the techniques.</p>","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"11 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"138518143","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
Computational algorithm for financial mathematical model based on European option 基于欧式期权的金融数学模型的计算算法
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-05-30 DOI: 10.1007/s40096-022-00474-0
Nikhil Srivastava, Aman Singh, V. Singh
{"title":"Computational algorithm for financial mathematical model based on European option","authors":"Nikhil Srivastava, Aman Singh, V. Singh","doi":"10.1007/s40096-022-00474-0","DOIUrl":"https://doi.org/10.1007/s40096-022-00474-0","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"53 1","pages":"467 - 490"},"PeriodicalIF":2.0,"publicationDate":"2022-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"81157001","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
Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem 二维非线性最优控制问题的鲁棒二元多项式格式及其收敛分析
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-05-23 DOI: 10.1007/s40096-022-00473-1
Asiyeh Ebrahimzadeh, Samaneh Panjeh Ali Beik
{"title":"Robust bivariate polynomials scheme with convergence analysis for two-dimensional nonlinear optimal control problem","authors":"Asiyeh Ebrahimzadeh, Samaneh Panjeh Ali Beik","doi":"10.1007/s40096-022-00473-1","DOIUrl":"https://doi.org/10.1007/s40096-022-00473-1","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"40 1","pages":"325 - 335"},"PeriodicalIF":2.0,"publicationDate":"2022-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"89666394","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
The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation 广义Pochhammer-Chree方程的适形时间分数形式的精确解
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-05-13 DOI: 10.1007/s40096-022-00471-3
M. Al Nuwairan
{"title":"The exact solutions of the conformable time fractional version of the generalized Pochhammer–Chree equation","authors":"M. Al Nuwairan","doi":"10.1007/s40096-022-00471-3","DOIUrl":"https://doi.org/10.1007/s40096-022-00471-3","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"7 1","pages":"305 - 316"},"PeriodicalIF":2.0,"publicationDate":"2022-05-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"72821256","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: 6
A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis 一种求解线性和非线性分数阶时滞微分方程的车里什科夫矩阵新方法，并进行误差分析
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-05-06 DOI: 10.1007/s40096-022-00468-y
M. Izadi, Ş. Yüzbaşı, W. Adel
{"title":"A new Chelyshkov matrix method to solve linear and nonlinear fractional delay differential equations with error analysis","authors":"M. Izadi, Ş. Yüzbaşı, W. Adel","doi":"10.1007/s40096-022-00468-y","DOIUrl":"https://doi.org/10.1007/s40096-022-00468-y","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"40 1","pages":"267 - 284"},"PeriodicalIF":2.0,"publicationDate":"2022-05-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"77774356","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: 12
Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain 无界域上具有一般源项的拟线性椭圆系统的基态解
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-04-27 DOI: 10.1007/s40096-022-00470-4
K. Iskafi, A. Ahammou
{"title":"Ground state solution for quasi-linear elliptic systems with general source terms on unbounded domain","authors":"K. Iskafi, A. Ahammou","doi":"10.1007/s40096-022-00470-4","DOIUrl":"https://doi.org/10.1007/s40096-022-00470-4","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"62 1","pages":"297 - 304"},"PeriodicalIF":2.0,"publicationDate":"2022-04-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"87049747","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
Measures of noncompactness in the space of regulated functions $$R (J, mathbb {R}^{infty })$$ and its application to some nonlinear infinite systems of fractional differential equations 正则函数空间中的非紧测度$$R (J, mathbb {R}^{infty })$$及其在非线性分数阶微分方程无穷系统中的应用
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-04-06 DOI: 10.1007/s40096-022-00464-2
H. Mehravaran, Hojjatollah Amiri kayvanloo, R. Allahyari
{"title":"Measures of noncompactness in the space of regulated functions $$R (J, mathbb {R}^{infty })$$ and its application to some nonlinear infinite systems of fractional differential equations","authors":"H. Mehravaran, Hojjatollah Amiri kayvanloo, R. Allahyari","doi":"10.1007/s40096-022-00464-2","DOIUrl":"https://doi.org/10.1007/s40096-022-00464-2","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"44 1","pages":""},"PeriodicalIF":2.0,"publicationDate":"2022-04-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"86893092","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
Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials Gould-Hopper-Frobenius-Euler多项式的微分和积分微分方程
IF 2 4区 数学
Mathematical Sciences Pub Date : 2022-03-30 DOI: 10.1007/s40096-022-00466-0
S. Mir, K. S. Nisar, Tawheeda Akhter, S. Araci
{"title":"Differential and integrodifferential equations for Gould–Hopper–Frobenius–Euler polynomials","authors":"S. Mir, K. S. Nisar, Tawheeda Akhter, S. Araci","doi":"10.1007/s40096-022-00466-0","DOIUrl":"https://doi.org/10.1007/s40096-022-00466-0","url":null,"abstract":"","PeriodicalId":48563,"journal":{"name":"Mathematical Sciences","volume":"27 1","pages":"247 - 251"},"PeriodicalIF":2.0,"publicationDate":"2022-03-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"73689390","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
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