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Theory and Modern Applications

Table 2 Absolute errors at the interval \([0,1) \), for Example 6.2

From: Existence, uniqueness, and approximate solutions for the general nonlinear distributed-order fractional differential equations in a Banach space

t

SFOJPs (\(\lambda =\frac{1}{2}\), \(\theta =\frac{3}{2} \), ϑ = 3)

SKCWs

HLBP [39]

BPFs [39]

N = 8, m̂ = 9

N = 11, m̂ = 12

k = 1,M = 8, m̂ = 16

k = 1,M = 10, m̂ = 20

M = 3,N = 8, m̂ = 24

N = 32, m̂ = 32

0.1

9.548407e-6

1.047112e-12

3.937368e-6

2.322781e-6

4.4538e-7

5.9470e-6

0.2

6.250375e-6

1.531553e-12

2.021002e-5

1.209247e-5

1.3319e-5

1.3073e-5

0.3

1.705950e-7

1.176192e-12

5.028661e-5

3.032198e-5

8.6726e-5

1.9812e-4

0.4

6.318599e-6

1.094817e-12

9.335682e-5

5.654374e-5

2.6389e-4

1.4000e-3

0.5

4.719573e-6

1.183008e-12

1.479691e-4

8.987633e-5

5.5607e-4

4.7000e-3

0.6

4.864510e-6

7.238237e-13

2.126070e-4

1.293900e-4

9.2704e-4

5.4000e-3

0.7

9.045018e-6

6.241959e-13

2.858959e-4

1.742388e-4

1.3000e-3

2.7000e-3

0.8

1.511866e-7

9.814239e-13

3.666613e-4

2.236985e-4

1.6000e-3

7.6000e-3

0.9

1.864086e-5

3.293418e-14

4.539275e-4

2.771667e-4

1.6000e-3

3.1300e-2