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Table 1 Absolute error in boundary conditions of \(x(t)\) of Example 6.1 for different values of parameters \(\mathfrak{b}\) and \(\mathfrak{c}\)

From: Approximate solutions and Hyers–Ulam stability for a system of the coupled fractional thermostat control model via the generalized differential transform

Parameter values \(\mathfrak{s}=10\) \(\mathfrak{s}=15 \) \(\mathfrak{s}=20\)
\(\mathfrak{b}=1/2\), \(\mathfrak{c}=1/3 \) 1.3600 × 10−2 0.9200 × 10−2 0.1800 × 10−2
\(\mathfrak{b}=3/5\), \(\mathfrak{c}=4/5 \) 3.7300 × 10−2 2.5300 × 10−2 0.7400 × 10−2
\(\mathfrak{b}=1/6\), \(\mathfrak{c}=1/5 \) 3.5000 × 10−2 2.3100 × 10−2 0.6500 × 10−2
\(\mathfrak{b}=1/5\), \(\mathfrak{c}=1/6 \) 3.9800 × 10−2 2.5600 × 10−2 0.8200 × 10−2