Solving Linear Coupled Fractional Differential Equations by Direct Operational Method and Some Applications

Figure 8

Caputo model of fractional Wien bridge with 𝛼₂=2𝛼₁. The effect of the nonoscillatory term in (7.20) can be observed as an initial offset that decays asymptotically as 𝑡→∞. Parameters: 𝑥_∗1(0)=𝑥_∗2(0)=0.03, (a) Comparison of phase and amplitude for capacitor voltages. (b) The limiting case of one ordinary capacitor and one semicapacitor (order 1/2). Legend: and 𝑥_∗1 (solid line), 𝑥_∗2 (dashed line).

(a)

(b)