Generalized fraction evolution equations with fractional Gross Laplacian

DOI10.1515/fca-2016-0021zbMath1351.60081OpenAlexW2428832290MaRDI QIDQ281430

Imen Salhi, Samah Horrigue, Habib Ouerdiane

Publication date: 11 May 2016

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

Full work available at URL: https://doi.org/10.1515/fca-2016-0021

zbMATH Keywords

Mittag-Leffler functionstochastic processesYoung functionRiemann-Liouville fractional derivativefraction evolution equationsgeneralized fractional Gross Laplacianinfinite-dimensional entire functions

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Infinite-dimensional holomorphy (46G20) Stochastic integrals (60H05) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Distributions on infinite-dimensional spaces (46F25) Fractional partial differential equations (35R11)

Related Items

Fractional number operator and associated fractional diffusion equations, Evolution equations with fractional Gross Laplacian and Caputo time fractional derivative

Cites Work

• A duality theorem between spaces of holomorphic functions of exponential growth
• Potential theory on Hilbert space
• Infinite dimensional rotations and Laplacians in terms of white noise calculus
• Some cauchy problems in white noise analysis and associated semigroups of operators
• A Fundamental Solution of the Parabolic Equation on Hilbert Space. II: The Semigroup Property
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