... algorithm is applied to solve the characteristic equation and identify physically admissible surface wave modes. The analysis is performed for a half-space under isothermal and electrically insulated boundary conditions. Fractional derivatives and multiple phase lags are included to account for advanced...

... Fractional derivative Photo-piezo-thermo-elastic Memory-dependent derivative Plasma wave Dual-phase lag C_E = specific heat at a constant strain; τ* = photo-generated carrier lifetime; τ_q = phase lag of heat flux; κ...

... in the x- and y-direction, k is the thermal conductivity, and T is the temperature function. Figure 1. Geometry and coordinate system of a rectangular biological tissue In this paper, the Caputo fractional derivative (FD) is introduced to descript the anomalous heat...

...) of it is: (Equation 3) where (Inline Equation 4) is the Riemman-Liouville fractional derivative of order 1−α. Consequently, we can obtain the fractional heat conduction equation: (Equation 5) where (Inline Equation 6) is the time fractional derivative (Kilbas et al., 2006) and Δ...

... differential equations in fractal media. Fractional derivatives are introduced heuristically by the variational iteration method, and fractal derivatives are explained geometrically. Some effective analytical approaches to fractional differential equations, e.g. the variational iteration method, the homotopy...