On Convergence Analysis and Analytical Solutions of the Conformable Fractional Fitzhugh-Nagumo Model Using the Conformable Sumudu Decomposition Method

Küçük Resim Yok

Tarih

2021

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

Künye