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Theory and Modern Applications

Table 5 Numerical results of Example 5 for different N values at \(\nu _{4}=4\)

From: Numerical solution for generalized nonlinear fractional integro-differential equations with linear functional arguments using Chebyshev series

x

Exact solution

PM for N = 9

LCM for N = 10

Ref [68] for N = 8

0

1.0000000

1.0000000

1.0000000

1.0000000

0.1

1.11051709

1.1105709

1.11051709

1.11051709

0.2

1.24428055

1.24428055

1.24428055

1.24428055

0.3

1.40495764

1.4049564

1.40495764

1.40495765

0.4

1.59672988

1.59672988

1.59672988

1.59672989

0.5

1.82436064

1.82436064

1.82436064

1.82436063

0.6

2.09327128

2.09327128

2.09327128

2.09327126