Conformable Derivative Operator in Modelling Neuronal Dynamics
Küçük Resim Yok
Tarih
2018
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Prairie View A & M Univ, Dept Mathematics
Erişim Hakkı
info:eu-repo/semantics/closedAccess
Özet
This study presents two new numerical techniques for solving time-fractional one-dimensional cable differential equation (FCE) modeling neuronal dynamics. We have introduced new formulations for the approximate-analytical solution of the FCE by using modified homotopy perturbation method defined with conformable operator (MHPMC) and reduced differential transform method defined with conformable operator (RDTMC), which are derived the solutions for linear-nonlinear fractional PDEs. In order to show the efficiencies of these methods, we have compared the numerical and exact solutions of fractional neuronal dynamics problem. Moreover, we have declared that the proposed models are very accurate and illustrative techniques in determining to approximate-analytical solutions for the PDEs of fractional order in conformable sense.
Açıklama
Anahtar Kelimeler
Conformable Derivative Operator, Modified Homotopy Perturbation Method, Reduced Differential Transform Method, Approximate-Analytical Solution, Modeling Neuronal Dynamics
Kaynak
Applications And Applied Mathematics-An International Journal
WoS Q Değeri
Scopus Q Değeri
Cilt
13
Sayı
2
