On Convergence Analysis and Analytical Solutions of the Conformable Fractional Fitzhugh-Nagumo Model Using the Conformable Sumudu Decomposition Method
Küçük Resim Yok
Tarih
2021
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Mdpi
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The current article studied a nonlinear transmission of the nerve impulse model, the Fitzhugh-Nagumo (FN) model, in the conformable fractional form with an efficient analytical approach based on a combination of conformable Sumudu transform and the Adomian decomposition method. Convergence analysis and error analysis were also carried out based on the Banach fixed point theory. We also provided some examples to support our results. The results obtained revealed that the presented approach is very fantastic, effective, reliable, and is an easy method to handle specific problems in various fields of applied sciences and engineering. The Mathematica software carried out all the computations and graphics in this paper.
Açıklama
Anahtar Kelimeler
conformable fractional derivative, Sumudu transform, Adomian decomposition method, partial differential equations
Kaynak
Symmetry-Basel
WoS Q Değeri
Q2
Scopus Q Değeri
Q2
Cilt
13
Sayı
2