Theory and Modern Applications
Table 1 Comparison of the temperature values at the time \(\pmb{t = 15}\) for \(\pmb{\alpha = 0.75}\)
From: Solutions with Wright functions for time fractional convection flow near a heated vertical plate
y | γ = 0.628 | γ = 0.785 | ||
|---|---|---|---|---|
T ( y , t ) Eq. ( 20 ) | T ( y , t ) Eq. ( 36 ) | T ( y , t ) Eq. ( 20 ) | T ( y , t ) Eq. ( 36 ) | |
0.0 | 15.000000 | 14.999974 | 15.000000 | 14.999974 |
0.1 | 12.389940 | 12.389940 | 13.161314 | 13.161330 |
0.2 | 10.205969 | 10.205947 | 11.523626 | 11.523640 |
0.3 | 8.384067 | 8.384039 | 10.068354 | 10.068355 |
0.4 | 6.868772 | 6.868765 | 8.778190 | 8.778163 |
0.5 | 5.612234 | 5.612234 | 7.637068 | 7.637067 |
0.6 | 4.573338 | 4.573334 | 6.630126 | 6.630121 |
0.7 | 3.716893 | 3.716888 | 5.743665 | 5.743671 |
0.8 | 2.435875 | 2.435674 | 4.965081 | 4.965072 |
0.9 | 1.964265 | 1.964266 | 4.282854 | 4.282853 |
1.0 | 1.579894 | 1.579892 | 3.686454 | 3.686456 |