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Theory and Modern Applications

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