Technical communique: A note on fractional-order derivatives of periodic functions
Automatica (Journal of IFAC)
Brief paper: Analytical computation of the H2-norm of fractional commensurate transfer functions
Automatica (Journal of IFAC)
Least-Squares Spectral Method for the solution of a fractional advection-dispersion equation
Journal of Computational Physics
Fractional model for malaria transmission under control strategies
Computers & Mathematics with Applications
Fast solution methods for space-fractional diffusion equations
Journal of Computational and Applied Mathematics
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Electrochemistry was one of the first sciences to benefit from the fractional calculus. Electrodes may be thought of as ''transducers'' of chemical fluxes into electricity. In a typical electrochemical cell, chemical species, such as ions or dissolved molecules, move towards the electrodes by diffusion. Likewise, other species are liberated into solution by the electrode reaction and diffuse away from the electrode into the bulk solution. It is demonstrated in this paper that the electric current is linearly related to the temporal semiderivative of the concentrations, at the electrode, of the species involved in the electrochemical reaction. More usefully, the semiintegral of the current provides immediate access information about concentrations.