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

Figure 1

Coupled oscillator with equal fractional orders. Parameters: 𝜔=1, 𝜔=0.5, 𝑥_∗1(0)=1.0, 𝑥_∗2(0)=0, 𝐷𝑥_∗1(0)=0, 𝐷𝑥_∗2(0)=0.1. Legend: 𝑥_∗1 (solid line), 𝑥_∗2 (dashed line).

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