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Nonlinear Fractional Order Boundary-Value Problems Chapter | 2 69
TABLE 2.6 The Value of u(1) 5 E of the Two Positive Solutions of (2.99)
When β 5 10 With Different Values of α and γ
Lower solution Upper solution
(Liao, 2012) Present method (Liao, 2012) Present method
γ α 5 4 α 5 4 α 5 3.9 α 5 4 α 5 4 α 5 3.9
0.01 0.648176 0.6481758 0.85253 2.213774 2.213772 1.6342
0.1 0.643033 0.64303303 0.83984 2.219512 2.219510 1.6476
0.2 0.627315 0.6273146 0.80539 2.241177 2.241175 1.6883
0.4 0.564806 0.5648057 0.68975 2.377541 2.377539 1.8760
0.8 0.354329 0.3543293 0.39874 3.583159 3.583148 3.0667
1 70.231157 0.2311565 0.25648 5.848855 5.84865 5.0513
FIGURE 2.19 The dual solutions of Eq. (2.99) for α 5 3.8 and γ 5 1/5.
