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

doi:10.1088/1402-4896/ac1e5a

	Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model
	Arshad,Sadia 1; Saleem,Iram 1; Defterli,Ozlem 4; Tang,Yifa 3; Baleanu,Dumitru 2,4
刊名	Physica Scripta
	2021-09-07
卷号	96 期号:12
关键词	fractional operator with the non-singular kernel numerical approximation stability analysis convergence analysis tumor model chaos
ISSN号	0031-8949
DOI	10.1088/1402-4896/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
内容类型	期刊论文
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.Institute of Space Sciences, Magurele-Bucharest 077125, Romania 3.LSEC, ICMSEC, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Beijing 100190, People’s Republic of China 4.Department of Mathematics, Faculty of Arts and Sciences, Cankaya University, Ankara 06790, Turkey
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).