On fractional heat equation

Kochubei AN, Kondratiev Y, da Silva JL (2021)
Fractional Calculus and Applied Analysis 24(1): 73-87.

Zeitschriftenaufsatz | Veröffentlicht | Englisch
 
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Autor*in
Kochubei, Anatoly N.; Kondratiev, YuriUniBi; da Silva, Jose Luis
Abstract / Bemerkung
In this paper, the long-time behavior of the Cesaro mean of the fundamental solution for fractional Heat equation corresponding to random time changes in the Brownian motion is studied. We consider both stable subordinators leading to equations with the Caputo-Djrbashian fractional derivative and more general cases corresponding to differential-convolution operators, in particular, distributed order derivatives.
Stichworte
general fractional derivative; subordination; heat equation; long time; behavior
Erscheinungsjahr
2021
Zeitschriftentitel
Fractional Calculus and Applied Analysis
Band
24
Ausgabe
1
Seite(n)
73-87
ISSN
1311-0454
eISSN
1314-2224
Page URI
https://pub.uni-bielefeld.de/record/2953410

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Kochubei AN, Kondratiev Y, da Silva JL. On fractional heat equation. Fractional Calculus and Applied Analysis. 2021;24(1):73-87.
Kochubei, A. N., Kondratiev, Y., & da Silva, J. L. (2021). On fractional heat equation. Fractional Calculus and Applied Analysis, 24(1), 73-87. https://doi.org/10.1515/fca-2021-0004
Kochubei, A. N., Kondratiev, Y., and da Silva, J. L. (2021). On fractional heat equation. Fractional Calculus and Applied Analysis 24, 73-87.
Kochubei, A.N., Kondratiev, Y., & da Silva, J.L., 2021. On fractional heat equation. Fractional Calculus and Applied Analysis, 24(1), p 73-87.
A.N. Kochubei, Y. Kondratiev, and J.L. da Silva, “On fractional heat equation”, Fractional Calculus and Applied Analysis, vol. 24, 2021, pp. 73-87.
Kochubei, A.N., Kondratiev, Y., da Silva, J.L.: On fractional heat equation. Fractional Calculus and Applied Analysis. 24, 73-87 (2021).
Kochubei, Anatoly N., Kondratiev, Yuri, and da Silva, Jose Luis. “On fractional heat equation”. Fractional Calculus and Applied Analysis 24.1 (2021): 73-87.

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