Feynman-Kac formula for tempered fractional general diffusion equations with nonautonomous external potential
DOI10.3934/dcdsb.2023150OpenAlexW4386487679MaRDI QIDQ6201362
Publication date: 20 February 2024
Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3934/dcdsb.2023150
Markov processFeynman-Kac formulainverse tempered \(\beta\)-stable subordinatornonautonomous external potentialtempered \(\beta\)-stable subordinatortempered fractional general diffusion equation
Processes with independent increments; Lévy processes (60G51) Fractional derivatives and integrals (26A33) Applications of stochastic analysis (to PDEs, etc.) (60H30) Fractional partial differential equations (35R11) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)
Cites Work
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- Moment convergence of first-passage times in renewal theory
- Fractional Feynman-Kac equation with space-dependent anomalous exponent
- Stochastic integration for tempered fractional Brownian motion
- Dirichlet forms and symmetric Markov processes.
- Stochastic calculus for a time-changed semimartingale and the associated stochastic differential equations
- Applications of inverse tempered stable subordinators
- Inverse tempered stable subordinators
- Stable Lévy process delayed by tempered stable subordinator
- Infinite divisibility of random variables and their integer parts
- Semi-implicit Euler-Maruyama method for non-linear time-changed stochastic differential equations
- Tempered fractional Brownian motion
- Inverse tempered stable subordinators and related processes with Mellin transform
- Stochastic solution of space-time fractional diffusion equations
- Lévy Processes and Stochastic Calculus
- Functional Integration and Partial Differential Equations. (AM-109)
- Feynman--Kac Transform for Anomalous Processes
- Discretized fractional substantial calculus
- Feynman–Kac equation for anomalous processes with space- and time-dependent forces
- Mittag-Leffler Functions, Related Topics and Applications
- Limit theorems for occupation times of Markov processes
- On Distributions of Certain Wiener Functionals
