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Theory and Modern Applications

Table 3 Comparison between GTCM, FrTM and FTM for Example 6

From: A new operational matrix of Caputo fractional derivatives of Fermat polynomials: an application for solving the Bagley-Torvik equation

t

GTCM [ 36 ]

FrTM [ 37 ]

FTM M  = 15

Exact solution

0.0

0

0

0

0

0.1

0.036485547

0.036487480

0.036487479

0.036487479

0.2

0.140634716

0.140639621

0.140639621

0.140639621

0.3

0.307476229

0.307484627

0.307484627

0.307484627

0.4

0.533271294

0.533284110

0.533284110

0.533284110

0.5

0.814735609

0.814756949

0.814756950

0.814756950

0.6

1.148805808

1.148837422

1.148837428

1.148837428

0.7

1.532521264

1.532565426

1.532565443

1.532565443

0.8

1.962974991

1.963029255

1.963029298

1.963029298

0.9

2.437455982

2.437333971

2.437334072

2.437334072

1.0

2.954070000

2.952583880

2.952584099

2.952584099