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Theory and Modern Applications

Table 2 Comparison of numerical results by the standard MsGDTM, the P-MsGDTM and the exact solution for α=0.9 in Example 2

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

t

MsGDTM (h = 0.005)

P-MsGDTM (h = 0.005)

Exact solution

0.1

0.83816

0.87835

0.87809

0.2

0.70252

0.78628

0.78576

0.3

0.58883

0.70881

0.70807

0.4

0.49354

0.64201

0.64109

0.5

0.41367

0.58367

0.58261

0.6

0.34672

0.53227

0.53111

0.7

0.29061

0.48673

0.48549

0.8

0.24358

0.44618

0.44488

0.9

0.20416

0.40994

0.40859

1.0

0.17112

0.37744

0.37606