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Table 3 Absolute error in boundary conditions of \(x(t)\) of Example 6.3 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 \(\mathfrak{s}=10\) \(\mathfrak{s}=15\) \(\mathfrak{s}=20\)
\(\mathfrak{b}=1/3\), \(\mathfrak{c}=1/4\) 1.9100 × 10−2 1.1000 × 10−2 0.8200 × 10−2
\(\mathfrak{b}=1/4\), \(\mathfrak{c}=1/3 \) 0.1500 × 10−2 0.1000 × 10−2 0.0900 × 10−2
\(\mathfrak{b}=1/5\), \(\mathfrak{c}=1/6 \) 0.5500 × 10−2 0.3100 × 10−2 0.1200 × 10−2
\(\mathfrak{b}=1/6\), \(\mathfrak{c}=1/5 \) 1.2700 × 10−2 0.9800 × 10−2 0.5400 × 10−2