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

Figure 5

Comparison of 𝑥₁(𝑡) waveform for both derivative models. Solution for Riemann-Liouville model diverges as 𝑡→0. Parameters: 𝑥_∗1(0)=𝑥_∗2(0)=0.03. Legend: Caputo (solid line), and Riemann-Liouville (dashed line).