Analytical and numerical approaches to nerve impulse model of fractional‐order
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Publication:6088398
DOI10.1002/num.22476OpenAlexW3034126918MaRDI QIDQ6088398
Publication date: 14 December 2023
Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1002/num.22476
finite difference schemelinear stability analysisnumerical analysisFitzHugh-Nagumo modelLaplace decomposition method\((G'/G, 1/G)\)-expansion method
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Cites Work
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- On conformable fractional calculus
- Canonical reduction of self-dual Yang-Mills equations to Fitzhugh-Nagumo equation and exact solutions
- Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method
- A complete set of integrals and solutions to the Szekeres system
- Fundamental results of conformable Sturm-Liouville eigenvalue problems
- A generalized Lyapunov-type inequality in the frame of conformable derivatives
- A fractional epidemiological model for computer viruses pertaining to a new fractional derivative
- On fractional derivatives with exponential kernel and their discrete versions
- Analytic and approximate solutions for Nagumo telegraph reaction diffusion equation
- The analytical solution of Van der Pol and Liénard differential equations within conformable fractional operator by retarded integral inequalities
- New approaches to the fractional dynamics of schistosomiasis disease model
- Investigation of the fractional coupled viscous Burgers' equation involving Mittag-Leffler kernel
- On a class of ordinary differential equations in the frame of Atangana-Baleanu fractional derivative
- Mathematical analysis and numerical simulation for a smoking model with Atangana-Baleanu derivative
- A new definition of fractional derivative
- Numerical simulation and solutions of the two‐component second order KdV evolutionarysystem
- A different approach to the European option pricing model with new fractional operator
- Characterizations of two different fractional operators without singular kernel
- Response functions in linear viscoelastic constitutive equations and related fractional operators
- Comparison of Caputo and conformable derivatives for time-fractional Korteweg–de Vries equation via the finite difference method
