Censored stable subordinators and fractional derivatives

DOI10.1515/fca-2021-0045zbMath1498.26009arXiv1906.07296OpenAlexW3095859285MaRDI QIDQ2236847

Zirui Xu, Qiang Du, Lorenzo Toniazzi

Publication date: 26 October 2021

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

Full work available at URL: https://arxiv.org/abs/1906.07296

zbMATH Keywords

Mittag-Leffler function fractional initial value problem fractional relaxation equation censored stable subordinator

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Anomalous diffusion models (subdiffusion, superdiffusion, continuous-time random walks, etc.) (60K50)

Cites Work

Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Unnamed Item
Which functions are fractionally differentiable?
Space-time fractional diffusion on bounded domains
Fractional models of anomalous relaxation based on the Kilbas and Saigo function
Ten equivalent definitions of the fractional Laplace operator
Analysis of a nonlocal-in-time parabolic equation
Convergence to fractional kinetics for random walks associated with unbounded conductances
Predicting the ultimate supremum of a stable Lévy process with no negative jumps
The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
Fractals and fractional calculus in continuum mechanics
Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
Censored stable processes
Generalised fractional evolution equations of Caputo type
A fractional kinetic process describing the intermediate time behaviour of cellular flows
Limit theorems for coupled continuous time random walks.
Infinite divisibility of random variables and their integer parts
Stochastic representation of solution to nonlocal-in-time diffusion
What is the fractional Laplacian? A comparative review with new results
The probabilistic point of view on the generalized fractional partial differential equations
A smooth solution of a singular fractional differential equation
Introduction to fractional and pseudo-differential equations with singular symbols
Fractional-order operators: boundary problems, heat equations
Hitting distributions of \(\alpha\)-stable processes via path censoring and self-similarity
Introductory lectures on fluctuations of Lévy processes with applications.
Lévy matters III. Lévy-type processes: construction, approximation and sample path properties
Comparing Fréchet and positive stable laws
A strong and weak approximation scheme for stochastic differential equations driven by a time-changed Brownian motion
On the probabilistic approach to the solution of generalized fractional differential equations of Caputo and Riemann-Liouville type
Nonlocal Modeling, Analysis, and Computation
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
From Brownian Motion to Schrödinger’s Equation
Mittag-Leffler Functions, Related Topics and Applications
Clustered continuous-time random walks: diffusion and relaxation consequences
Fundamental equations of branching Markov processes
A construction of markov processes by piecing out
Limit theorems for occupation times of Markov processes
Bernstein functions. Theory and applications
Stochastic models for fractional calculus

This page was built for publication: Censored stable subordinators and fractional derivatives