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Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model

文献类型：期刊论文

作者Arshad,Sadia1; Saleem,Iram1; Defterli,Ozlem2; Tang,Yifa3; Baleanu,Dumitru2,4
刊名Physica Scripta
出版日期2021-09-07
卷号96期号:12
ISSN号0031-8949
关键词fractional operator with the non-singular kernel numerical approximation stability analysis convergence analysis tumor model chaos
DOI10.1088/1402-4896/ac1e5a
英文摘要Abstract This manuscript is devoted to describing a novel numerical scheme to solve differential equations of fractional order with a non-singular kernel namely, Caputo-Fabrizio. First, we have transformed the fractional order differential equation to the corresponding integral equation, then the fractional integral equation is approximated by using the Simpson’s quadrature 3/8 rule. The stability of the proposed numerical scheme and its convergence is analyzed. Further, a cancer growth Caputo-Fabrizio model is solved using the newly proposed numerical method. Moreover, the numerical results are provided for different values of the fractional-order within some special cases of model parameters.
语种英语
出版者IOP Publishing
WOS记录号IOP:0031-8949-96-12-AC1E5A
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59123]  
专题中国科学院数学与系统科学研究院
通讯作者Arshad,Sadia
作者单位1.COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
2.Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara 06790, Turkey
3.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China
4.Institute of Space Sciences, Magurele-Bucharest 077125, Romania
推荐引用方式
GB/T 7714		 Arshad,Sadia,Saleem,Iram,Defterli,Ozlem,et al. Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model[J]. Physica Scripta,2021,96(12).
APA Arshad,Sadia,Saleem,Iram,Defterli,Ozlem,Tang,Yifa,&Baleanu,Dumitru.(2021).Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model.Physica Scripta,96(12).
MLA Arshad,Sadia,et al."Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model".Physica Scripta 96.12(2021).

入库方式： OAI收割

来源：数学与系统科学研究院

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