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Table 2 Absolute relative error between exact, Picard and ADM solutions of y2

From: Picard and Adomian solutions of nonlinear fractional differential equations system containing Atangana – Baleanu derivative

t

Absolute relative error between

Exact and Picard Solutions of y2

Absolute relative error between

Exact and ADM Solutions of y2

0.1

\(2.3238\times {10}^{-24}\)

\(2.47608\times {10}^{-16}\)

0.2

\(6.09171\times {10}^{-19}\)

\(9.79546\times {10}^{-13}\)

0.3

\(9.00286\times {10}^{-16}\)

\(1.27098\times {10}^{-10}\)

0.4

\(1.59687\times {10}^{-13}\)

\(2.01227\times {10}^{-9}\)

0.5

\(8.86392\times {10}^{-12}\)

\(5.83804\times {10}^{-8}\)

0.6

\(2.3595\times {10}^{-10}\)

\(5.0386\times {10}^{-7}\)

0.7

\(3.78188\times {10}^{-9}\)

\(3.30691\times {10}^{-6}\)

0.8

\(4.18068\times {10}^{-8}\)

0.0000163978

0.9

\(3.47854\times {10}^{-7}\)

0.0000672372

1

\(2.31195\times {10}^{-6}\)

0.000237109