Table 3 Comparison of exact and approximate solutions.

From: A numerical approach to fractional Volterra–Fredholm integro-differential problems using shifted Chebyshev spectral collocation

\({\mathfrak {s}}\)

Exact solution

\({\mathcal {M}}=4\)

\({\mathcal {M}}=6\)

\({\mathcal {M}}=8\)

0.0

0.00000000

0.00000000

0.00000000

0.00000000

0.2

0.00800000

0.00778214

0.00776126

0.00780872

0.4

0.06400000

0.06188742

0.06292156

0.06395688

0.6

0.21600000

0.21277391

0.21388234

0.21494762

0.8

0.51200000

0.51044983

0.51067295

0.51112473

1.0

1.00000000

0.94832658

0.96912764

0.98957632