Skip to main content

Theory and Modern Applications

Table 4 Numerical results of \(\mathcal{O}_{i}\) and \(\Lambda _{i}\), \(i=1,2,3\), for \(\mathfrak{t}\in [0.02,0.99]\) in Example 6.2 when \(q_{1}=0.28\), \(q_{2}=0.53\), and \(q_{3}=0.89\)

From: On the generalized fractional snap boundary problems via G-Caputo operators: existence and stability analysis

 

\(q_{1} = 0.28\)

\(\mathfrak{t}\)

\(\mathcal{O}_{1}\)

\(\Lambda _{1}\)

\(\frac{B}{\Lambda _{1} + \mathcal{O}_{1} \varrho _{0}^{*} f (B)}> 1\)

0.02

0.000000

11.480000

8.710801

0.07

0.138112

15.656301

6.350232

0.12

0.276248

17.244645

5.738232

0.17

0.422128

18.506034

5.323499

0.22

0.576067

19.603570

5.004060

0.27

0.737980

20.598497

4.742581

0.32

0.907712

21.521621

4.520650

0.37

1.085108

22.390979

4.327665

0.42

1.270020

23.218193

4.156897

0.47

1.462316

24.011259

4.003782

0.52

1.661876

24.775955

3.865064

0.57

1.868592

25.516610

3.738334

0.62

2.082367

26.236568

3.621754

0.67

2.303113

26.938475

3.513885

0.72

2.530749

27.624462

3.413580

0.77

2.765202

28.296281

3.319908

0.82

3.006403

28.955388

3.232102

0.87

3.254289

29.603011

3.149523

0.92

3.508804

30.240193

3.071630

0.97

3.769892

30.867835

2.997965