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Theory and Modern Applications

Table 3 The error estimates at \(t=0.8\) for \(\alpha = 1.8\), \(\alpha ^{*} \in \{1.81, 1.82, 1.83, 1.84, 1.85 \}\)

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

t = 0.8

\(\alpha ^{*} = 1.81\)

\(\alpha ^{*} = 1.82\)

\(\alpha ^{*} = 1.83\)

\(\alpha ^{*} = 1.84\)

\(\alpha ^{*} = 1.85\)

\(\mathrm{ESTU}_{\alpha }^{\alpha ^{*}}(0.8)\)

0.01754

0.00266

0.00020

2.05406e − 05

1.75455e − 06

\(\mathrm{ESTV}_{\alpha }^{\alpha ^{*}}(0.8)\)

0.01971

0.00251

0.00029

2.41501e − 05

3.50684e − 06