Fractional nonlinear stochastic heat equation with variable thermal conductivity

DOI10.1515/fca-2020-0087zbMath1474.60162OpenAlexW3118899754MaRDI QIDQ2660640

Danijela Rajter-Ćirić, Miloš Japundžić

Publication date: 31 March 2021

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

Full work available at URL: https://doi.org/10.1515/fca-2020-0087

zbMATH Keywords

stochastic heat equationColombeau generalized stochastic processColombeau generalized uniformly continuous semigroup of operatorsfractional Riesz derivativeregularized derivative

Mathematics Subject Classification ID

Fractional processes, including fractional Brownian motion (60G22) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) Fractional partial differential equations (35R11)

Cites Work

• Generalized uniformly continuous semigroups and semilinear hyperbolic systems with regularized derivatives
• Semigroups of linear operators and applications to partial differential equations
• A nonlinear theory of generalized functions.
• Multiplication of distributions. A tool in mathematics, numerical engineering and theoretical physics
• On Riesz derivative
• Reaction-advection-diffusion equations with space fractional derivatives and variable coefficients on infinite domain
• Generalized stochastic processes in algebras of generalized functions: independence, stationarity and SPDEs
• Approximate solutions of time and time-space fractional wave equations with variable coefficients
• Heat equation with singular potential and singular data
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item