Time fractional linear problems on \(L^2(\mathbb{R}^d)\)

DOI10.1016/j.bulsci.2018.01.002zbMath1398.35267OpenAlexW2793678565MaRDI QIDQ1744800

Arnaud Rougirel, Hassan Emamirad

Publication date: 19 April 2018

Published in: Bulletin des Sciences Mathématiques (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.bulsci.2018.01.002

zbMATH Keywords

fractional derivativesfractional Schrödinger equationregularizing effectfractional transport equationtime fractional PDEsdissipative inequalities

Mathematics Subject Classification ID

Integral representations of solutions to PDEs (35C15) Fractional partial differential equations (35R11)

Related Items (4)

Feynman path formula for the time fractional Schrödinger equation ⋮ Time-fractional Schrödinger equation ⋮ Galerkin method for time fractional diffusion equations ⋮ Delsarte equation for Caputo operator of fractional calculus

Cites Work

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• An Elementary Proof of Titchmarsh's Convolution Theorem
• Time fractional Schrödinger equation
• Abstract Volterra Integro-Differential Equations
• Mittag-Leffler Functions, Related Topics and Applications
• The completely monotonic character of the Mittag-Leffler function 𝐸ₐ(-𝑥)

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