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Theory and Modern Applications

Table 2 Comparison between sine-cosine, HPM and UWCM for Example  2 for \(\pmb{\alpha= 1/2, 3/4}\)

From: Sine-cosine wavelet operational matrix of fractional order integration and its applications in solving the fractional order Riccati differential equations

t

\(\boldsymbol{\alpha= \frac{1}{2}}\)

\(\boldsymbol{\alpha= \frac{3}{4}}\)

Sine-cosine

HPM

UWCM

Sine-cosine

HPM

UWCM

0.1

0.62587

0.321730

0.58092

0.26346

0.216866

0.24456

0.3

1.18291

0.940941

1.12057

0.71969

0.654614

0.71031

0.5

1.50602

1.549439

1.45668

1.20886

1.132763

1.15155

0.7

1.64338

2.066523

1.63391

1.48589

1.594278

1.49335

0.9

1.75292

2.396839

1.75008

1.72284

1.962239

1.73018