On Solutions to Fractional Discrete Systems with Sequential ℎ-Differences

Figure 1

Consider the following system (_𝑎Δ^0.4_ℎ,∗𝑥)(𝑛ℎ)=𝑦(𝑏+𝑛ℎ), (_𝑏Δ^0.5_ℎ,∗𝑦)(𝑛ℎ)=𝐴𝑥(𝑎+𝑛ℎ), where 𝐴 is given in Example 22, with initial conditions: 𝑥₀=(0,1), 𝑥_𝑎=(0,0.1), ℎ^0.9𝐴−₂^0.9𝐼₂∈ℝ₊^2×2.