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Theory and Modern Applications

Table 3 Absolute errors at the interval \([0,10) \), for Example 6.3

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

t

SFOJPs (\(\lambda =\frac{1}{2}\), θ = ϑ = 0)

SKCWs [47]

MLWs (ν = 1) [36]

N = 39, m̂ = 40

N = 49, m̂ = 50

k = 2,M = 13, m̂ = 52

k = 3,M = 15, m̂ = 60

1

3.565546e-6

4.583174e-10

1.320582e-7

4.581149e-9

2

1.609513e-6

2.347220e-10

4.245111e-7

1.822323e-8

3

3.562010e-6

1.458788e-10

2.178349e-5

1.097018e-6

4

5.346519e-7

1.887288e-10

2.208436e-5

1.110414e-6

5

4.216773e-7

5.229296e-10

2.241317e-5

1.121390e-6

6

3.034043e-7

8.984458e-11

2.196957e-5

1.106670e-6

7

8.445049e-7

4.972243e-10

2.118251e-5

1.069842e-6

8

3.841176e-6

3.062962e-10

5.110080e-5

2.290284e-6

9

1.904467e-6

4.402973e-10

5.188183e-5

2.326670e-6