Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...

Abstract The spectral characteristics viz. reflectivity, bandwidth, and sidelobes’ intensity for uniform apodized (Gaussian, hyperbolic tangent, apod1, sine, raised sine) fiber Bragg gratings (FBGs) were studied as a function of grating length index modulation. optimal modulation to obtain maximum reflectivity minimum sidelobes determined, needed sensing applications. impact various apodization...

This paper considers the state observer problem for a class of nonlinear systems, which present multiple non commensurate time delays as well as distributed delay terms. The proposed algorithm is an extension of the observer for nonlinear delayless systems proposed in 1993 by Ciccarella, Dalla Mora, Germani. It is proved that a suitable gain can be easily chosen such that the observation error ...