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Theory and Modern Applications

Table 4 Residual error \(\operatorname{Res}(t)\) of Example 5.2 for \(\alpha =1\)

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

t

n = 30

n = 27

n = 24

0.1

2.89449 × 10−8

6.41053 × 10−8

4.23570 × 10−8

0.2

3.13636 × 10−7

1.06130 × 10−7

7.07269 × 10−7

0.3

9.93014 × 10−7

1.21778 × 10−6

2.14039 × 10−6

0.4

1.70363 × 10−6

1.73659 × 10−6

3.71293 × 10−6

0.5

2.23322 × 10−6

3.18848 × 10−6

5.13686 × 10−6

0.6

3.40658 × 10−6

4.32221 × 10−6

7.89540 × 10−6

0.7

5.44348 × 10−6

7.31437 × 10−6

1.20295 × 10−5

0.8

7.14417 × 10−6

5.38354 × 10−6

1.54016 × 10−5

0.9

8.65241 × 10−6

1.66259 × 10−5

2.00506 × 10−5

1.0

2.31501 × 10−5

3.18956 × 10−5

5.20328 × 10−5