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Theory and Modern Applications

Table 1 Values for \(y=0.4\), \(y=0.6\), \(y=0.8\), and \(y=1\)

From: Incomplete Caputo fractional derivative operators

\(x_{i}\)

y = 0.4

y = 0.6

y = 0.8

y = 1

\(x_{1}\)

0.579398

0.816125

0.958368

1.00075

\(x_{2}\)

0.602232

0.848289

0.996139

1.0402

\(x_{3}\)

0.62723

0.8835

1.03749

1.08337

\(x_{4}\)

0.65473

0.92236

1.08297

1.13087

\(x_{5}\)

0.685151

0.965086

1.13329

1.18342

\(x_{6}\)

0.71901

1.01278

1.1893

1.2419

\(x_{7}\)

0.756961

1.06624

1.25207

1.30745

\(x_{8}\)

0.799839

1.12663

1.323

1.38151

\(x_{9}\)

0.848732

1.1955

1.40387

1.46596

\(x_{10}\)

0.905085

1.27488

1.49708

1.56329

\(x_{11}\)

0.970863

1.36753

1.60588

1.67691

\(x_{12}\)

1.04882

1.47734

1.73483

1.81155

\(x_{13}\)

1.14294

1.60991

1.8905

1.97412

\(x_{14}\)

1.25923

1.77372

2.08286

2.17499

\(x_{15}\)

1.40729

1.98227

2.32776

2.43071

\(x_{16}\)

1.60346

2.25859

2.65224

2.76954

\(x_{17}\)

1.87841

2.64588

3.10703

3.24445

\(x_{18}\)

2.29816

3.23713

3.80134

3.96946

\(x_{19}\)

3.0403

4.28248

5.02888

5.2513

\(x_{20}\)

4.85056

6.83238

8.0232

8.37805