Fractional Fokker-Planck-Kolmogorov type equations and their associated stochastic differential equations
DOI10.2478/s13540-011-0005-9zbMath1273.35293OpenAlexW1983398677MaRDI QIDQ2853346
Marjorie G. Hahn, Sabir R. Umarov
Publication date: 21 October 2013
Published in: Fractional Calculus and Applied Analysis (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/10525/1682
Fokker-Planck equationLévy processKolmogorov equationsstable subordinatorfractional differential equations (FDE)stochastic differential equations (SDE)
Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) PDEs with randomness, stochastic partial differential equations (35R60) Research exposition (monographs, survey articles) pertaining to partial differential equations (35-02) Fractional partial differential equations (35R11) Fokker-Planck equations (35Q84)
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- On fractional Duhamel's principle and its applications
- On time-changed Gaussian processes and their associated Fokker-Planck-Kolmogorov equations
- Stochastic calculus for a time-changed semimartingale and the associated stochastic differential equations
- Continuous-time random walk and parametric subordination in fractional diffusion
- Triangular array limits for continuous time random walks
- Correlated continuous time random walks
- Variable order differential equations with piecewise constant order-function and diffusion with changing modes
- Chaos, fractional kinetics, and anomalous transport
- SDEs driven by a time-changed Lévy process and their associated time-fractional order pseudo-differential equations
- Distributed order calculus and equations of ultraslow diffusion
- Cauchy and nonlocal multi-point problems for distributed order pseudo-differential equations. I
- Stochastic model for ultraslow diffusion
- Random Walks on Lattices. II
- Fokker-Planck-Kolmogorov equations associated with time-changed fractional Brownian motion
- Generalized Continuous-Time Random Walks, Subordination by Hitting Times, and Fractional Dynamics
- Random walk models associated with distributed fractional order differential equations
- Markov Processes from K. Ito's Perspective (AM-155)
- The fundamental solution of the space-time fractional diffusion equation
- Random walk models approximating symmetric space-fractional diffusion processes
- Limit theorems for continuous-time random walks with infinite mean waiting times
- The restaurant at the end of the random walk: recent developments in the description of anomalous transport by fractional dynamics
- Space-time fractional derivative operators
- Lévy Processes and Stochastic Calculus
- Chance and Stability
- Fractional Calculus: Integral and Differential Equations of Fractional Order
- Expected Number of Distinct Sites Visited by a Random Walk with an Infinite Variance
- Fractional diffusion: probability distributions and random walk models
- The random walk's guide to anomalous diffusion: A fractional dynamics approach