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Theory and Modern Applications

Table 1 The error estimates at \(t=0.2\) for \(\alpha = 1.1\), \(\alpha ^{*} \in \{1.11, 1.12, 1.13, 1.14, 1.15 \}\)

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

t = 0.2

\(\alpha ^{*} = 1.11\)

\(\alpha ^{*} = 1.12\)

\(\alpha ^{*} = 1.13\)

\(\alpha ^{*} = 1.14\)

\(\alpha ^{*} = 1.15\)

\(\mathrm{ESTU}_{\alpha }^{\alpha ^{*}}(0.2)\)

0.05274

0.00283

0.00027

2.67385e − 05

3.23890e − 06

\(\mathrm{ESTV}_{\alpha }^{\alpha ^{*}}(0.2)\)

0.05903

0.00178

0.00019

2.25538e − 05

1.91779e − 06