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

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dc.contributor.author Arshad, Sadia
dc.contributor.author Saleem, Iram
dc.contributor.author Defterli, Özlem
dc.contributor.author Tang, Yifa
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-01-04T08:28:30Z
dc.date.available 2023-01-04T08:28:30Z
dc.date.issued 2021-12
dc.identifier.citation Arshad, Sadia...et al. (2021). "Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model", PHYSICA SCRIPTA, Vol. 96, No. 12. tr_TR
dc.identifier.issn 0031-8949
dc.identifier.issn 1402-4896
dc.identifier.uri http://hdl.handle.net/20.500.12416/6015
dc.description.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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1088/1402-4896/ac1e5a tr_TR
dc.rights info:eu-repo/semantics/closedAccess tr_TR
dc.subject Fractional Operator With the Non-Singular Kernel tr_TR
dc.subject Numerical Approximation tr_TR
dc.subject Stability Analysis tr_TR
dc.subject Convergence Analysis tr_TR
dc.subject Tumor Model tr_TR
dc.subject Chaos tr_TR
dc.title Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model tr_TR
dc.type article tr_TR
dc.relation.journal PHYSICA SCRIPTA tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 96 tr_TR
dc.identifier.issue 12 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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