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Theory and Modern Applications

Table 4 Comparison of MRKHS solutions for different values of α for Example 5.6

From: Numerical solvability of generalized Bagley–Torvik fractional models under Caputo–Fabrizio derivative

ξ

α = 2

α = 1.9

α = 1.8

α = 1.7

α = 1.6

α = 1.5

0.0

1.000

1.00000

1.00000

1.00000

1.00000

1.00000

0.1

1.101

1.10940

1.11688

1.14628

1.14628

1.12147

0.2

1.208

1.22339

1.23804

1.29026

1.29026

1.24713

0.3

1.327

1.34784

1.36904

1.43430

1.43430

1.38237

0.4

1.464

1.48863

1.51528

1.58439

1.58439

1.53232

0.5

1.625

1.65160

1.68204

1.74770

1.74770

1.70187

0.6

1.816

1.84257

1.87446

1.93145

1.93145

1.89569

0.7

2.043

2.06730

2.09761

2.14251

2.14251

2.11825

0.8

2.312

2.33144

2.35642

2.38718

2.38718

2.37381

0.9

2.629

2.64053

2.65566

2.67124

2.67124

2.66644

1.0

3.000

3.00000

3.00000

3.00000

3.00000

3.00000