Theory and Modern Applications
From: Analytic solution of homogeneous time-invariant fractional IVP
(x,t) | \(con_{4}(x,t)\) | \(con_{10}(x,t)\) | ||||
---|---|---|---|---|---|---|
 | α = 0.25 | α = 0.50 | α = 0.75 | α = 0.25 | α = 0.50 | α = 0.75 |
\(( \frac{\pi }{2},0.2 ) \) | 1.7390E−03 | 7.9294E−05 | 2.1250E−06 | 6.2255E−07 | 1.1442E−10 | 5.7731E−15 |
\(( \frac{\pi }{2},0.5 ) \) | 5.4667E−03 | 7.8359E−04 | 6.6013E−05 | 7.7359E−06 | 1.7667E−08 | 1.0940E−11 |
\(( \frac{\pi }{2},0.8 ) \) | 9.8372E−03 | 2.5374E−03 | 3.8466E−04 | 2.8173E−05 | 2.3433E−07 | 5.2849E−10 |
(π,0.2) | 2.4593E−03 | 1.1213E−04 | 3.0052E−06 | 8.8043E−07 | 1.6181E−10 | 8.1046E−15 |
(π,0.5) | 7.7310E−03 | 1.1081E−03 | 9.3357E−05 | 1.0940E−05 | 2.4985E−08 | 1.5472E−11 |
(π,0.8) | 1.3912E−02 | 3.5884E−03 | 5.4400E−04 | 3.9843E−05 | 3.3140E−07 | 7.4740E−10 |