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Theory and Modern Applications

Table 1 Comparison between FTM and CSM in [ 35 ] for Example 4

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

M

Ï„

α  = 1

α  = 4 π

FTM

CSM [ 35 ]

FTM

CSM [ 35 ]

4

23.157

2.7⋅10−04

3.4⋅10−04

2.5⋅10−02

3.9â‹…1000

8

110.781

3.5⋅10−07

4.3⋅10−07

3.5⋅10−04

4.7⋅10−01

16

313.265

4.2⋅10−10

1.8⋅10−08

4.2⋅10−09

3.5⋅10−05

32

1023.854

5.8⋅10−12

7.1⋅10−10

8.4⋅10−12

1.4⋅10−06