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Abundant distinct types of solutions for the nervous biological fractional FitzHugh-Nagumo equation via three different sorts of schemes

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dc.contributor.author Abdel-Aty, Abdel-Haleem
dc.contributor.author Khater, Mostafa M. A.
dc.contributor.author Baleanu, Dumitru
dc.contributor.author Khalil, E. M.
dc.contributor.author Bouslimi, Jamel
dc.contributor.author Omri, M.
dc.date.accessioned 2022-03-09T12:32:28Z
dc.date.available 2022-03-09T12:32:28Z
dc.date.issued 2020-09-09
dc.identifier.citation Abdel-Aty, Abdel-Haleem...et al. (2020). "Abundant distinct types of solutions for the nervous biological fractional FitzHugh-Nagumo equation via three different sorts of schemes", Advances in Difference Equations, Vol. 2020, No. 1. tr_TR
dc.identifier.issn 1687-1839
dc.identifier.uri http://hdl.handle.net/20.500.12416/5097
dc.description.abstract The dynamical attitude of the transmission for the nerve impulses of a nervous system, which is mathematically formulated by the Atangana-Baleanu (AB) time-fractional FitzHugh-Nagumo (FN) equation, is computationally and numerically investigated via two distinct schemes. These schemes are the improved Riccati expansion method and B-spline schemes. Additionally, the stability behavior of the analytical evaluated solutions is illustrated based on the characteristics of the Hamiltonian to explain the applicability of them in the model's applications. Also, the physical and dynamical behaviors of the gained solutions are clarified by sketching them in three different types of plots. The practical side and power of applied methods are shown to explain their ability to use on many other nonlinear evaluation equations. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1186/s13662-020-02852-1 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Atangana–Baleanu (AB) Fractional Operator tr_TR
dc.subject Fitzhugh–Nagumo (FN) Equation tr_TR
dc.subject Analytical and Numerical Solutions tr_TR
dc.subject Stability Characteristic tr_TR
dc.title Abundant distinct types of solutions for the nervous biological fractional FitzHugh-Nagumo equation via three different sorts of schemes tr_TR
dc.type article tr_TR
dc.relation.journal Advances in Difference Equations tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 2020 tr_TR
dc.identifier.issue 1 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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