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Theory and Modern Applications

Table 1 Maximum absolute error for distinct values of ρ, α, and \(m=64\)

From: Green–Haar wavelets method for generalized fractional differential equations

ρ

α = 0.2

α = 0.4

α = 0.6

α = 0.8

α = 1

1.0

5.12628 × 10−3

1.92497 × 10−3

7.04195 × 10−4

2.78423 × 10−4

1.64627 × 10−4

1.1

7.06032 × 10−3

2.65359 × 10−3

9.69607 × 10−4

3.79441 × 10−4

2.17187 × 10−4

1.2

9.58301 × 10−3

3.60524 × 10−3

1.31617 × 10−3

5.10260 × 10−4

2.83042 × 10−4

1.3

1.28529 × 10−2

4.84046 × 10−3

1.76601 × 10−3

6.78862 × 10−4

3.65372 × 10−4

1.4

1.70703 × 10−2

6.43578 × 10−3

2.34715 × 10−3

8.95350 × 10−4

4.68170 × 10−4

1.5

2.24878 × 10−2

8.48797 × 10−3

3.09507 × 10−3

1.17252 × 10−3

5.96461 × 10−4

1.6

2.94248 × 10−2

1.11194 × 10−2

4.05472 × 10−3

1.52660 × 10−3

7.56576 × 10−4

1.7

3.82855 × 10−2

1.44853 × 10−2

5.28316 × 10−3

1.97820 × 10−3

9.56508 × 10−4

1.8

4.95818 × 10−2

1.87825 × 10−2

6.85289 × 10−3

2.55349 × 10−3

1.20636 × 10−3

1.9

6.39638 × 10−2

2.42609 × 10−2

8.85614 × 10−3

3.28582 × 10−3

1.51898 × 10−3

2.0

8.22581 × 10−2

3.12390 × 10−2

1.14105 × 10−2

4.21773 × 10−3

1.91063 × 10−3