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Theory and Modern Applications

Table 2 The root-mean-square errors \(\xi_{m}\) of the FEFs method and the SKCP method

From: Fractional-order Euler functions for solving fractional integro-differential equations with weakly singular kernel

m

SKCP method

FEFs method

 

α = 1

α = 2/3

2

1.3426e − 2

1.0502e − 2

1.7511e − 2

4

5.1379e − 4

2.6252e − 4

2.4436e − 4

6

1.5578e − 4

6.6216e − 5

3.0232e − 5

8

6.4612e − 5

4.8349e − 4

9.4123e − 5