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Table 1 Comparison of the values of exact and approximate solutions of the problem (37) for x values for example 2

From: Spectral Tau method for solving general fractional order differential equations with linear functional argument

x Exact Present method [12] (N=8), [12] (N=8),
  solution (N=5) a=0,b=0 a=−0.5,b=0.5
0 0.0000 0.0000 − 0.0000 − 0.0000
0.2 0.0400 0.0400 0.0400 0.0400
0.4 0.1600 0.1600 0.1600 0.1600
0.6 0.3600 0.3600 0.3600 0.3600
0.8 0.6400 0.6400 0.6400 0.6400
1 1.0000 1.0000 1.0122 1.0208