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Special functions with general kernel: Properties and applications to fractional partial differential equations

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22. Sept. 2024

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COVER HERUNTERLADEN

Fig. 1

The approximate graphs of Eq. (51) for the values u = v = 0,1,2,3, κ = μ = 1, σ = τ = 3, 0 < p < 1, 0 < q < 4, ɛ1 = ɛ2 = 1.6 (yellow), ɛ1 = ɛ2 = 1.8 (blue) and ɛ1 = ɛ2 = 2 (green).
The approximate graphs of Eq. (51) for the values u = v = 0,1,2,3, κ = μ = 1, σ = τ = 3, 0 < p < 1, 0 < q < 4, ɛ1 = ɛ2 = 1.6 (yellow), ɛ1 = ɛ2 = 1.8 (blue) and ɛ1 = ɛ2 = 2 (green).

Fig. 2

The approximate graphs of Eq. (52) for the values u = v = k = 0,1,2,3, κ = μ = ϑ1 = 1, ϑ2 = 2, ϑ3 = 5, z = 0.5, 0 < p < 1, 0 < q < 4, ɛ1 = ɛ2 = 1.6 (yellow), ɛ1 = ɛ2 = 1.8 (blue) and ɛ1 = ɛ2 = 2 (green).
The approximate graphs of Eq. (52) for the values u = v = k = 0,1,2,3, κ = μ = ϑ1 = 1, ϑ2 = 2, ϑ3 = 5, z = 0.5, 0 < p < 1, 0 < q < 4, ɛ1 = ɛ2 = 1.6 (yellow), ɛ1 = ɛ2 = 1.8 (blue) and ɛ1 = ɛ2 = 2 (green).

Fig. 3

The approximate graphs of Eq. (53) for the values u = v = k = 0,1,2,3, κ = μ = 1, ϑ2 = 2, ϑ3 = 5, z = 0.5, 0 < p < 1, 0 < q < 4, ɛ1 = ɛ2 = 1.6 (yellow), ɛ1 = ɛ2 = 1.8 (blue) and ɛ1 = ɛ2 = 2 (green).
The approximate graphs of Eq. (53) for the values u = v = k = 0,1,2,3, κ = μ = 1, ϑ2 = 2, ϑ3 = 5, z = 0.5, 0 < p < 1, 0 < q < 4, ɛ1 = ɛ2 = 1.6 (yellow), ɛ1 = ɛ2 = 1.8 (blue) and ɛ1 = ɛ2 = 2 (green).
Sprache:
Englisch