Fractional number operator and associated fractional diffusion equations

DOI10.1007/s11040-017-9261-1zbMath1396.35072OpenAlexW2772473740MaRDI QIDQ1664405

Hafedh Rguigui

Publication date: 27 August 2018

Published in: Mathematical Physics, Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11040-017-9261-1

zbMATH Keywords

Mittag-Leffler type functionsCaputo time fractional diffusion equationfractional number operatorRiemann-Liouville time fractional diffusion equationtest space of entire holomorphic functions

Mathematics Subject Classification ID

Infinite-dimensional holomorphy (46G20) Stochastic integrals (60H05) Fractional partial differential equations (35R11)

Related Items (7)

Riemann-Liouville and Caputo fractional potentials associated with the number operator ⋮ The fractional evolution equations associated with the quantum fractional number operator ⋮ Quantum fractional Ornstein-Uhlenbeck semigroups and associated potentials ⋮ Fractional Langevin type equations for white noise distributions ⋮ Quantum white noise stochastic analysis based on nuclear algebras of entire functions ⋮ Generalized Riemann-Liouville and Liouville-Caputo time fractional evolution equations associated to the number operator ⋮ Generalized Bernoulli Wick differential equation

Cites Work

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• White noise calculus and Fock space
• A duality theorem between spaces of holomorphic functions of exponential growth
• Quantum Ornstein-Uhlenbeck semigroups
• The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
• Parabolic Equations Associated with the Number Operator
• STOCHASTIC HEAT EQUATION ON ALGEBRA OF GENERALIZED FUNCTIONS

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