The fractional stochastic heat equation driven by time-space white noise

DOI10.1007/s13540-023-00134-7zbMath1511.35371MaRDI QIDQ6045937

Bernt Øksendal, Rahma Yasmina Moulay Hachemi

Publication date: 15 May 2023

Published in: Fractional Calculus \& Applied Analysis (Search for Journal in Brave)

zbMATH Keywords

Mittag-Leffler functionmild solutiontempered distributionsCaputo derivativefractional stochastic heat equationtime-space white noise

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Heat equation (35K05) White noise theory (60H40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Fractional partial differential equations (35R11)

Cites Work

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• Fractional models of anomalous relaxation based on the Kilbas and Saigo function
• White noise analysis for Lévy processes.
• Regularization by noise and flows of solutions for a stochastic heat equation
• Completely monotone generalized Mittag-Leffler functions
• On fractional heat equation
• Some recent progress on stochastic heat equations
• Nonlinear stochastic time-fractional slow and fast diffusion equations on \(\mathbb{R}^d\)
• Historical survey: the chronicles of fractional calculus
• Time regularity of the evolution solution to the fractional stochastic heat equation
• Basic Theory
• Quasi-Linear (Stochastic) Partial Differential Equations with Time-Fractional Derivatives
• Waves with Power-Law Attenuation
• The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)

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