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Theory and Modern Applications

Table 2 Residual error values of Example 5.1 at \(\alpha =1\)

From: An attractive numerical algorithm for solving nonlinear Caputo–Fabrizio fractional Abel differential equation in a Hilbert space

\(t_{i}\)

n = 30

n = 25

n = 20

0.1

5.2372501 × 10−7

1.5964249 × 10−7

2.117866 × 10−6

0.2

6.7692091 × 10−7

1.2426483 × 10−6

2.670997 × 10−6

0.3

5.2263923 × 10−7

5.4744324 × 10−6

1.827156 × 10−6

0.4

1.1384547 × 10−6

1.9588250 × 10−6

3.804081 × 10−6

0.5

3.3141327 × 10−6

5.6558277 × 10−6

1.162380 × 10−5

0.6

5.3876273 × 10−6

9.4607339 × 10−6

1.894390 × 10−5

0.7

6.4785581 × 10−6

8.8094418 × 10−6

2.255140 × 10−5

0.8

7.6642283 × 10−6

1.0000134 × 10−5

2.666220 × 10−5

0.9

9.3547507 × 10−6

3.0000166 × 10−5

3.285510 × 10−5

1.0

1.1247700 × 10−5

3.0000198 × 10−5

3.990170 × 10−5