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Theory and Modern Applications

Table 4 Comparison of numerical results by the standard MsGDTM, the P-MsGDTM and the FABM for α=0.9 in Example 3

From: A semi-analytic method with an effect of memory for solving fractional differential equations

t

MsGDTM (h = 0.01)

P-MsGDTM (h = 0.1)

FABM solution (h = 0.001)

0.1

0.15248

0.12301

0.12229

0.2

0.28534

0.21661

0.21653

0.3

0.40432

0.29700

0.29824

0.4

0.51386

0.36926

0.37165

0.5

0.61766

0.43587

0.43916

0.6

0.71902

0.49846

0.50237

0.7

0.82132

0.55820

0.56252

0.8

0.92843

0.61608

0.62056

0.9

1.04548

0.67294

0.67735

1.0

1.18035

0.72956

0.73367