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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

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dc.contributor.author Rashid, Saima
dc.contributor.author Jarad, Fahd
dc.contributor.author Ahmad, Abdulaziz Garba
dc.date.accessioned 2024-02-12T13:07:24Z
dc.date.available 2024-02-12T13:07:24Z
dc.date.issued 2022-04
dc.identifier.citation Rashid, 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. tr_TR
dc.identifier.issn 22113797
dc.identifier.uri http://hdl.handle.net/20.500.12416/7176
dc.description.abstract Scientists 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.rinp.2022.105292 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana–Baleanu Fractional Derivative Operator tr_TR
dc.subject Fractal-Fractional Derivative Operator tr_TR
dc.subject Fractional Human Liver Model tr_TR
dc.subject Modified Adams–Bashforth Method tr_TR
dc.subject Newton Polynomial Approach tr_TR
dc.title A novel fractal-fractional order model for the understanding of an oscillatory and complex behavior of human liver with non-singular kernel tr_TR
dc.type article tr_TR
dc.relation.journal Results in Physics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 35 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü tr_TR


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