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A novel fractal-fractional order model for the understanding of an oscillatory and complex behavior of human liver with non-singular kernel

dc.contributor.authorRashid, Saima
dc.contributor.authorJarad, Fahd
dc.contributor.authorAhmad, Abdulaziz Garba
dc.contributor.authorID234808tr_TR
dc.date.accessioned2024-02-12T13:07:24Z
dc.date.available2024-02-12T13:07:24Z
dc.date.issued2022
dc.departmentÇankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractScientists and researchers are increasingly interested in numerical simulations of infections with non-integer orders. It is self-evident that conventional epidemiological systems can be given in a predetermined order, but fractional-order derivative systems are not stable orders. The fractional derivative proves increasingly effective in representing real-world issues when it has a non-fixed order. Various novel fractional operator notions, including special functions in the kernel, have been presented in recent decades, which transcend the constraints of prior fractional order derivatives. These novel operators have been shown to be useful in simulating scientific and technical challenges. The fractal-fractional operator is a relatively modern fractional calculus operator that has been proposed. Besides that, we propose a new technique and implement it in a human liver model and want to investigate its dynamics. In the context of this novel operator, we demonstrate certain interesting findings for the human liver model. The findings of the uniqueness and existence will be revealed. We describe modeling estimates for the proposed model using an innovative numerical method that has never been used before for a human liver model of this type. Additionally, graphical illustrations are demonstrated for both fractal and fractional orders. It is expected that the fractal-fractional approach is more invigorating and effective for epidemic models than the fractional operator.en_US
dc.description.publishedMonth4
dc.identifier.citationRashid, Saima; Jarad, Fahd; Ahmad, Abdulaziz G. (2022). "A novel fractal-fractional order model for the understanding of an oscillatory and complex behavior of human liver with non-singular kernel", Results in Physics, Vol.35.en_US
dc.identifier.doi10.1016/j.rinp.2022.105292
dc.identifier.issn22113797
dc.identifier.urihttp://hdl.handle.net/20.500.12416/7176
dc.identifier.volume35en_US
dc.language.isoenen_US
dc.relation.ispartofResults in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectAtangana–Baleanu Fractional Derivative Operatoren_US
dc.subjectFractal-Fractional Derivative Operatoren_US
dc.subjectFractional Human Liver Modelen_US
dc.subjectModified Adams–Bashforth Methoden_US
dc.subjectNewton Polynomial Approachen_US
dc.titleA novel fractal-fractional order model for the understanding of an oscillatory and complex behavior of human liver with non-singular kerneltr_TR
dc.titleA Novel Fractal-Fractional Order Model for the Understanding of an Oscillatory and Complex Behavior of Human Liver With Non-Singular Kernelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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