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

dc.contributor.authorArshad, Sadia
dc.contributor.authorSaleem, Iram
dc.contributor.authorDefterli, Özlem
dc.contributor.authorTang, Yifa
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-01-04T08:28:30Z
dc.date.available2023-01-04T08:28:30Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.description.publishedMonth12
dc.identifier.citationArshad, 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.en_US
dc.identifier.doi10.1088/1402-4896/ac1e5a
dc.identifier.issn0031-8949
dc.identifier.issn1402-4896
dc.identifier.issue12en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6015
dc.identifier.volume96en_US
dc.language.isoenen_US
dc.relation.ispartofPHYSICA SCRIPTAen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectFractional Operator With the Non-Singular Kernelen_US
dc.subjectNumerical Approximationen_US
dc.subjectStability Analysisen_US
dc.subjectConvergence Analysisen_US
dc.subjectTumor Modelen_US
dc.subjectChaosen_US
dc.titleSimpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor modeltr_TR
dc.titleSimpson's Method for Fractional Differential Equations With a Non-Singular Kernel Applied To a Chaotic Tumor Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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