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Advances in Continuous and Discrete Models

Theory and Modern Applications

Table 1 The approximation and exact solution of Example 8.1 for \(\alpha=0.5\)

From: A Chebyshev spectral method based on operational matrix for fractional differential equations involving non-singular Mittag-Leffler kernel

t

\(y_{1}(t)\)

\(y_{2}(t)\)

\(y_{3}(t)\)

\(y_{4}(t)\)

y(t)

0

0.9640

0.9941

0.9978

0.9990

1.0000

0.2

1.1419

1.1369

1.1344

1.1337

1.1336

0.4

1.3199

1.2967

1.2947

1.2950

1.2952

0.6

1.4978

1.4735

1.4744

1.4750

1.4748

0.8

1.6757

1.6672

1.6695

1.6691

1.6691

1

1.8537

1.8779

1.8757

1.8762

1.8761

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