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Theory and Modern Applications

Table 2 Absolute error in boundary conditions of \(y(t)\) 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

\(\mathfrak{s}=10\)

\(\mathfrak{s}=15\)

\(\mathfrak{s}=20\)

\(\mathfrak{b}=1/2\), \(\mathfrak{c}=1/3 \)

5.9500 × 10−2

2.4300 × 10−2

0.7300 × 10−2

\(\mathfrak{b}=3/5\), \(\mathfrak{c}=4/5 \)

8.7800 × 10−2

8.1600 × 10−2

2.4200 × 10−2

\(\mathfrak{b}=1/6\), \(\mathfrak{c}=1/5 \)

6.8900 × 10−2

509900 × 10−2

1.7900 × 10−2

\(\mathfrak{b}=1/5\), \(\mathfrak{c}=1/6 \)

8.8500 × 10−2

7.1300 × 10−2

3.9400 × 10−2