Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model
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.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2023-01-04T08:28:30Z | |
dc.date.available | 2023-01-04T08:28:30Z | |
dc.date.issued | 2021 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
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. | en_US |
dc.description.publishedMonth | 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. | en_US |
dc.identifier.doi | 10.1088/1402-4896/ac1e5a | |
dc.identifier.issn | 0031-8949 | |
dc.identifier.issn | 1402-4896 | |
dc.identifier.issue | 12 | en_US |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/6015 | |
dc.identifier.volume | 96 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | PHYSICA SCRIPTA | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Fractional Operator With the Non-Singular Kernel | en_US |
dc.subject | Numerical Approximation | en_US |
dc.subject | Stability Analysis | en_US |
dc.subject | Convergence Analysis | en_US |
dc.subject | Tumor Model | en_US |
dc.subject | Chaos | en_US |
dc.title | Simpson's method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model | tr_TR |
dc.title | Simpson's Method for Fractional Differential Equations With a Non-Singular Kernel Applied To a Chaotic Tumor Model | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |
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