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Theory and Modern Applications

Table 2 The error estimates at \(t=0.4\) for \(\alpha = 1.5\), \(\alpha ^{*} \in \{1.51, 1.52, 1.53, 1.54, 1.55 \}\)

From: On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems

t = 0.4

\(\alpha ^{*} = 1.51\)

\(\alpha ^{*} = 1.52\)

\(\alpha ^{*} = 1.53\)

\(\alpha ^{*} = 1.54\)

\(\alpha ^{*} = 1.55\)

\(\mathrm{ESTU}_{\alpha }^{\alpha ^{*}}(0.4)\)

0.09677

0.00563

0.00073

7.57786e − 05

6.87516e − 06

\(\mathrm{ESTV}_{\alpha }^{\alpha ^{*}}(0.4)\)

0.16414

0.06821

0.06635

0.066176

0.0642495