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Theory and Modern Applications

Table 4 Numerical results for Example  5 with comparison to CAS

From: Solving nonlinear Volterra integro-differential equations of fractional order by using Euler wavelet method

x

α  = 3.25

α  = 3.5

α  = 3.75

CAS

Euler

CAS

Euler

CAS

Euler

0.0

1.0000

1.0006

1.0000

1.0006

1.0000

1.0006

0.1

1.1053

1.1060

1.1052

1.1059

1.1052

1.1059

0.2

1.2219

1.2228

1.2216

1.2224

1.2216

1.2223

0.3

1.3523

1.3527

1.3510

1.3516

1.3510

1.3510

0.4

1.4968

1.4972

1.4941

1.4948

1.4941

1.4934

0.5

1.6635

1.6581

1.6565

1.8295

1.8334

1.8248

0.7

2.0444

2.0346

2.0293

2.0240

2.0293

2.0167

0.8

2.2776

2.2534

2.2537

2.2386

2.2537

2.2281

0.9

2.5265

2.4943

2.4949

2.4747

2.4949

2.4603