Found 184 Documents (Results 1–100)
An accurate and efficient space-time Galerkin spectral method for the subdiffusion equation. (English) Zbl 07923996
On the solution existence for collocation discretizations of time-fractional subdiffusion equations. (English) Zbl 07915944
A fourth-order compact ADI scheme for solving a two-dimensional time-fractional reaction-subdiffusion equation. (English) Zbl 07914746
From Lévy walks to fractional material derivative: pointwise representation and a numerical scheme. (English) Zbl 07912597
Numerical restorability of parameter values of space-time fractional soil consolidation model. (English) Zbl 07899247
Second-order error analysis of the averaged L1 scheme \(\overline{\mathrm{L1}}\) for time-fractional initial-value and subdiffusion problems. (English) Zbl 07890810
Beta Brownian motion. (English) Zbl 07872292
Comment on ‘anomalous diffusion originated by two Markovian hopping-trap mechanisms’. (English) Zbl 1540.60228
MSC:
60K50
Approximation of the subdiffusion equation with solution-dependent fractional time derivative and diffusion coefficient. (English) Zbl 07853990
Persistence probabilities of a smooth self-similar anomalous diffusion process. (English) Zbl 1533.60037
Grünwald-Letnikov scheme for a multi-term time fractional reaction-subdiffusion equation. (English) Zbl 1534.65125
Coupled continuous time random walk with Lévy distribution jump length signifies anomalous diffusion? (English) Zbl 1532.60227
Feynman-Kac formula for tempered fractional general diffusion equations with nonautonomous external potential. (English) Zbl 1532.60228
Fractional diffusion Bessel processes with Hurst index \(H \in (0, \frac{1}{2})\). (English) Zbl 1539.60044
Reviewer: B. L. S. Prakasa Rao (Hyderabad)
Fractional advection diffusion asymmetry equation, derivation, solution and application. (English) Zbl 1534.60161
Green Measures for a Class of non-Markov Processes. arXiv:2404.02076
Preprint, arXiv:2404.02076 [math.PR] (2024).
An element-free Galerkin method for the time-fractional subdiffusion equations. (English) Zbl 1537.65132
Inverse source problem for the subdiffusion equation on a metric star graph with integral overdetermination condition. (English) Zbl 1537.35421
An inverse problem for a two-dimensional diffusion equation with arbitrary memory kernel. (English) Zbl 1532.35537
Regularity theory for fractional reaction-subdiffusion equation and application to inverse problem. (English) Zbl 1530.35099
On the convergence and superconvergence for a class of two-dimensional time fractional reaction-subdiffusion equations. (English) Zbl 1540.65395
A simple flattening lower bound for solutions to some linear integro-differential equations. (English) Zbl 1527.35057
Numerical solution of a subdiffusion equation with variable order time fractional derivative and nonlinear diffusion coefficient. (English) Zbl 07759410
Stochastic resetting and linear reaction processes: a continuous time random walk approach. (English) Zbl 1526.35343
Encounter-based reaction-subdiffusion model. II: Partially absorbing traps and the occupation time propagator. (English) Zbl 07753599
A stabilizer-free weak Galerkin finite element method with Alikhanov formula on nonuniform mesh for a linear reaction-subdiffusion problem. (English) Zbl 1538.65377
Inverse problems for subdiffusion from observation at an unknown terminal time. (English) Zbl 1525.35247
Reviewer: Dinh Nho Hào (Hanoi)
A linearized L1-Galerkin FEM for non-smooth solutions of Kirchhoff type quasilinear time-fractional integro-differential equation. (English) Zbl 07708337
Pointwise-in-time a posteriori error control for higher-order discretizations of time-fractional parabolic equations. (English) Zbl 1514.65116
Functional convergence of continuous-time random walks with continuous paths. (English) Zbl 1523.60081
Existence and regularity in inverse source problem for fractional reaction-subdiffusion equation perturbed by locally Lipschitz sources. (English) Zbl 1504.35654
An introduction to anomalous diffusion and relaxation. (English) Zbl 1515.60011
PoliTO Springer Series. Cham: Springer (ISBN 978-3-031-18149-8/hbk; 978-3-031-18152-8/pbk; 978-3-031-18150-4/ebook). xx, 400 p (2023).
Regularity and asymptotics of densities of inverse subordinators. arXiv:2303.13890
Preprint, arXiv:2303.13890 [math.PR] (2023).
Pattern selection in the Schnakenberg equations: from normal to anomalous diffusion. (English) Zbl 1533.65196
Integrated radial basis functions to simulate modified anomalous sub-diffusion equation. (English) Zbl 1533.65114
Simple positivity-preserving nonlinear finite volume scheme for subdiffusion equations on general non-conforming distorted meshes. (English) Zbl 1519.65030
Stability of spike solutions to the fractional Gierer-Meinhardt system in a one-dimensional domain. (English) Zbl 1524.35692
Analysis of anisotropic nonlocal diffusion models: well-posedness of fractional problems for anomalous transport. (English) Zbl 1538.60167
Quantitative fluid approximation in transport theory: a unified approach. (English) Zbl 1511.35348
Reviewer: Alain Brillard (Riedisheim)
Superstatistical approach of the anomalous exponent for scaled Brownian motion. (English) Zbl 1508.60100
Error estimation of a discontinuous Galerkin method for time fractional subdiffusion problems with nonsmooth data. (English) Zbl 1503.65236
Convergence analysis of the time-stepping numerical methods for time-fractional nonlinear subdiffusion equations. (English) Zbl 1503.65194
Stochastic processes with applications in physics and insurance. (Abstract of thesis). (English) Zbl 1502.60065
Error of the Galerkin scheme for a semilinear subdiffusion equation with time-dependent coefficients and nonsmooth data. (English) Zbl 1504.65211
Anomalous diffusion originated by two Markovian hopping-trap mechanisms. (English) Zbl 1506.60111
MSC:
60K50
Closed-form multi-dimensional solutions and asymptotic behaviours for subdiffusive processes with crossovers. II: Accelerating case. (English) Zbl 1506.35259
Some numerical extrapolation methods for the fractional sub-diffusion equation and fractional wave equation based on the \(L1\) formula. (English) Zbl 1513.65304
On the existence and uniqueness of solutions to a nonlinear variable order time-fractional reaction-diffusion equation with delay. (English) Zbl 1496.65143
A posteriori error analysis for variable-coefficient multiterm time-fractional subdiffusion equations. (English) Zbl 1492.65240
Error estimate of the fast L1 method for time-fractional subdiffusion equations. (English) Zbl 1524.65350
A mixed virtual element method for the time-fractional fourth-order subdiffusion equation. (English) Zbl 1502.65154
Galerkin finite element approximation of a stochastic semilinear fractional subdiffusion with fractionally integrated additive noise. (English) Zbl 1502.65127
Maximum principle for time-fractional parabolic equations with a reaction coefficient of arbitrary sign. (English) Zbl 1491.35087
The performance of a numerical scheme on the variable-order time-fractional advection-reaction-subdiffusion equations. (English) Zbl 07533815
Efficient shifted fractional trapezoidal rule for subdiffusion problems with nonsmooth solutions on uniform meshes. (English) Zbl 07515303
A fractional diffusion model of CD\(8^+\) T cells response to parasitic infection in the brain. (English) Zbl 1492.35362
A note on function space and boundedness of the general fractional integral in continuous time random walk. (English) Zbl 1486.26009
Functional distribution of anomalous and nonergodic diffusion. From stochastic processes to PDEs. (English) Zbl 1507.60002
Singapore: World Scientific (ISBN 978-981-12-5049-1/hbk; 978-981-12-5051-4/ebook). xi, 245 p. (2022).
Reviewer: Yuliya S. Mishura (Kyïv)
A spectral approach for time-fractional diffusion and subdiffusion equations in a large interval. (English) Zbl 1483.65163
Exponential convolution quadrature for nonlinear subdiffusion equations with nonsmooth initial data. (English) Zbl 1496.65166
Reviewer: J. Manimaran (Thiruvananthapuram)
Sharp error estimate of a Grünwald-Letnikov scheme for reaction-subdiffusion equations. (English) Zbl 07496454
MSC:
65Mxx
Quenched invariance principle for biased random walks in random conductances in the sub-ballistic regime. arXiv:2210.07825
Preprint, arXiv:2210.07825 [math.PR] (2022).
Error Estimates for a Linearized Fractional Crank-Nicolson FEM for Kirchhoff type Quasilinear Subdiffusion Equation with Memory. arXiv:2208.11104
Preprint, arXiv:2208.11104 [math.NA] (2022).
Iterative identification of the diffusion coefficient in an initial boundary value problem for the subdiffusion equation. (Russian. English summary) Zbl 07668732
Sib. Zh. Ind. Mat. 24, No. 2, 23-37 (2021); translation in J. Appl. Ind. Math. 15, No. 2, 343-354 (2021).
Characterising stochastic motion in heterogeneous media driven by coloured non-Gaussian noise. (English) Zbl 1519.60119
J. Phys. A, Math. Theor. 54, No. 29, Article ID 295002, 31 p. (2021); erratum ibid. 54, No. 29, Article ID 299601, 2 p. (2021).
Fractional Brownian motion in superharmonic potentials and non-Boltzmann stationary distributions. (English) Zbl 1519.60116
Closed-form multi-dimensional solutions and asymptotic behaviors for subdiffusive processes with crossovers. I: Retarding case. (English) Zbl 1506.35260
Anomalies of Lévy-based thermal transport from the Lévy-Fokker-Planck equation. (English) Zbl 1484.80001
Numerical simulation to solve two-dimensional temporal-space fractional Bloch-Torrey equation taken of the spin magnetic moment diffusion. (English) Zbl 1513.65412
Initial-boundary value problem for a time-fractional subdiffusion equation on the torus. (English) Zbl 1499.35317
Reaction-subdiffusion equations with species-dependent movement. (English) Zbl 1480.35387
Reviewer: Marius Ghergu (Dublin)
Memory dependent anomalous diffusion in comb structure under distributed order time fractional dual-phase-lag model. (English) Zbl 1510.60091
Numerical solution using radial basis functions for multidimensional fractional partial differential equations of type Black-Scholes. (English) Zbl 1476.35319
Quasi-Toeplitz trigonometric transform splitting methods for spatial fractional diffusion equations. (English) Zbl 1500.65047
Error estimates of a continuous Galerkin time stepping method for subdiffusion problem. (English) Zbl 1490.65215
Fractional diffusion and medium heterogeneity: the case of the continuous time random walk. (English) Zbl 1468.60127
Beghin, Luisa (ed.) et al., Nonlocal and fractional operators. Selected papers based on the presentations at the international workshop, Rome, Italy, April 12–13, 2019. Cham: Springer. SEMA SIMAI Springer Ser. 26, 275-286 (2021).
An \(\alpha \)-robust finite difference method for a time-fractional radially symmetric diffusion problem. (English) Zbl 1524.65411
Reconstruction of a space-time-dependent source in subdiffusion models via a perturbation approach. (English) Zbl 1470.35433
A high-order compact finite difference method on nonuniform time meshes for variable coefficient reaction-subdiffusion problems with a weak initial singularity. (English) Zbl 1481.65162
Probability density of fractional Brownian motion and the fractional Langevin equation with absorbing walls. (English) Zbl 1504.60059
Initial-boundary value problem for a time-fractional subdiffusion equation with an arbitrary elliptic differential operator. (English) Zbl 1465.35387
Bounded weak solutions of time-fractional porous medium type and more general nonlinear and degenerate evolutionary integro-differential equations. (English) Zbl 1461.35215
A computational weighted finite difference method for American and barrier options in subdiffusive Black-Scholes model. (English) Zbl 1459.91220
Reviewer: Nikolay Kyurkchiev (Plovdiv)
Numerical analysis of multi-term time-fractional nonlinear subdiffusion equations with time delay: what could possibly go wrong? (English) Zbl 1466.65086
On multivariate fractional random fields: tempering and operator-stable laws. (English) Zbl 1469.60164
Fractional Brownian motion with random diffusivity: emerging residual nonergodicity below the correlation time. (English) Zbl 1519.82101
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