Mild solution for the time fractional magneto-hydrodynamics system
In this paper, by using the Mittag–Leffler operators { L α ( - t α I ) : t ≥ 0 } and { L α , α ( - t α I ) : t ≥ 0 } we will prove the mild soltion of the time fractional magneto-hydrodynamics system with a fractional derivative of Caputo. Furthermore, by Itô integral, we will establish the mild sol...
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| Veröffentlicht in: | Analysis and mathematical physics 2024-04, Vol.14 (2), Article 14 |
|---|---|
| Hauptverfasser: | , , , |
| Format: | Artikel |
| Sprache: | eng |
| Schlagworte: | |
| Online-Zugang: | Volltext |
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| Zusammenfassung: | In this paper, by using the Mittag–Leffler operators
{
L
α
(
-
t
α
I
)
:
t
≥
0
}
and
{
L
α
,
α
(
-
t
α
I
)
:
t
≥
0
}
we will prove the mild soltion of the time fractional magneto-hydrodynamics system with a fractional derivative of Caputo. Furthermore, by Itô integral, we will establish the mild solution of stochastic time fractional magneto-hydrodynamics system in
E
N
p
λ
∩
N
p
,
λ
2
α
. |
|---|---|
| ISSN: | 1664-2368 1664-235X |
| DOI: | 10.1007/s13324-024-00871-9 |