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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2021-12-01
卷号96期号:12页码:19
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.
资助项目Scientific and Technological Research Council of Turkey (TUBTAK)
WOS研究方向Physics
语种英语
出版者IOP PUBLISHING LTD
WOS记录号WOS:000693412900001
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/59227]  
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 Univ Islamabad, Lahore Campus, Lahore 54000, Pakistan
2.Cankaya Univ, Fac Arts & Sci, Dept Math, TR-06790 Ankara, Turkey
3.Chinese Acad Sci, Acad Math & Syst Sci, ICMSEC, LSEC, Beijing 100190, Peoples R China
4.Inst Space Sci, Magurele 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):19.
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),19.
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):19.

入库方式： OAI收割

来源：数学与系统科学研究院

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