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- Title
Conformable Derivative Operator in Modelling Neuronal Dynamics.
- Authors
Yavuz, Mehmet; Yaşkıran, Burcu
- Abstract
This study presents two new numerical techniques for solving time-fractional onedimensional 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.
- Subjects
ANALYTICAL solutions; NONLINEAR operators; DIFFERENTIAL equations
- Publication
Applications & Applied Mathematics, 2018, Vol 13, Issue 2, p803
- ISSN
1932-9466
- Publication type
Article