Found 74 Documents (Results 1–74)
Well-posedness of diffusion-aggregation equations with bounded kernels and their mean-field approximations. (English) Zbl 07872026
On the impact of noise on quenching for a nonlocal diffusion model driven by a mixture of Brownian and fractional Brownian motions. (English) Zbl 07856219
Nonlocal Harnack inequalities for nonlocal \(p\)-Laplacian type Schrödinger operators with \(A^p_1\)-Muckenhoupt potentials. (English) Zbl 07807890
Hölder continuity of weak solutions to nonlocal Schrödinger equations with \(A_1\)-Muckenhoupt potentials. (English) Zbl 07749910
On numerical approximations of fractional and nonlocal mean field games. (English) Zbl 1527.35428
MSC:
35Q89
35Q84
91A16
47G20
49L12
49L25
45K05
35K61
35F21
65M12
65M22
93B52
93C20
60J65
60G55
26A33
35R11
35R06
Existence and uniqueness of solutions of nonlinear fractional stochastic differential systems with nonlocal functional boundary conditions. (English) Zbl 1521.34005
Propagation of chirped gray solitons in weakly nonlocal media with parabolic law nonlinearity and spatio-temporal dispersion. (English) Zbl 1538.35114
Sparse Monte Carlo method for nonlocal diffusion problems. (English) Zbl 1502.65125
Reviewer: Piotr Biler (Wrocław)
Stability results for backward nonlinear diffusion equations with temporal coupling operator of local and nonlocal type. (English) Zbl 1498.65148
Reviewer: Christian Clason (Graz)
Strong rates of convergence of a splitting scheme for Schrödinger equations with nonlocal interaction cubic nonlinearity and white noise dispersion. (English) Zbl 1485.65011
Fractional filter method for recovering the historical distribution for diffusion equations with coupling operator of local and nonlocal type. (English) Zbl 1486.65153
Existence and controllability results for nonlocal stochastic integro-differential equations. (English) Zbl 1490.60183
Fully nonlocal stochastic control problems with fractional Brownian motions and Poisson jumps. (English) Zbl 1494.60071
Reviewer: Anhui Gu (Chongqing)
Noninstantaneous impulsive and nonlocal Hilfer fractional stochastic integrodifferential equations with fractional Brownian motion and Poisson jumps. (English) Zbl 07486832
Non-autonomous stochastic evolution equations of parabolic type with nonlocal initial conditions. (English) Zbl 1471.34119
Uniqueness and Hyers-Ulam stability of random differential variational inequalities with nonlocal boundary conditions. (English) Zbl 07359217
Generalized Evans-Krylov and Schauder type estimates for nonlocal fully nonlinear equations with rough kernels of variable orders. (English) Zbl 1451.35036
Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion. (English) Zbl 1485.93055
Approximate controllability of fractional stochastic evolution equations with nonlocal conditions. (English) Zbl 07446876
Mild solutions of evolution quantum stochastic differential equations with nonlocal conditions. (English) Zbl 07271509
The Liouville theorem and linear operators satisfying the maximum principle. (English. French summary) Zbl 1448.35061
Nonlocal stochastic functional differential equations driven by G-Brownian motion and mean random dynamical systems. (English) Zbl 1453.37050
Reviewer: Chay Paterson (Midhurst)
Slow manifolds for a nonlocal fast-slow stochastic system with stable Lévy noise. (English) Zbl 1426.37046
The magnetization ripple: a nonlocal stochastic PDE perspective. (English. French summary) Zbl 1426.35240
Reviewer: Luisa Consiglieri (Lisboa)
Boundary controllability of nonlocal Hilfer fractional stochastic differential systems with fractional Brownian motion and Poisson jumps. (English) Zbl 1460.34100
Mild solution of stochastic partial differential equation with nonlocal conditions and noncompact semigroups. (English) Zbl 1496.60074
Existence and stability for fractional parabolic integro-partial differential equations with fractional Brownian motion and nonlocal condition. (English) Zbl 1438.60069
Robust numerical methods for nonlocal (and local) equations of porous medium type. II: Schemes and experiments. (English) Zbl 1516.65066
A stochastic mass conserved reaction-diffusion equation with nonlinear diffusion. (English) Zbl 1401.60122
The Malgrange-Ehrenpreis theorem for nonlocal Schrödinger operators with certain potentials. (English) Zbl 06923931
On fractional \(p\)-Laplacian parabolic problem with general data. (English) Zbl 1392.35184
Reviewer: Fatma Gamze Duzgun (Ankara)
Approximation of solutions to stochastic neutral fractional integro-differential equation with nonlocal conditions. (English) Zbl 1397.65014
Global existence and asymptotic stability of mild solutions for stochastic evolution equations with nonlocal initial conditions. (English) Zbl 1371.34086
Reviewer: Aleksandr D. Borisenko (Kyïv)
Newton’s method for nonlinear stochastic wave equations driven by one-dimensional Brownian motion. (English) Zbl 1351.60083
Nonlocal problem for fractional stochastic evolution equations with solution operators. (English) Zbl 1353.35303
The obstacle problem for nonlinear integro-differential operators. (English) Zbl 1346.35214
Reviewer: Petar Popivanov (Sofia)
Dynamical insurance models with investment: constrained singular problems for integrodifferential equations. (English. Russian original) Zbl 1349.91129
Comput. Math. Math. Phys. 56, No. 1, 43-92 (2016); translation from Zh. Vychisl. Mat. Mat. Fiz. 56, No. 1, 47-98 (2016).
Approximate controllability of nonlinear fractional impulsive stochastic differential equations with nonlocal conditions and infinite delay. (English) Zbl 1353.65006
Reviewer: Dominique Lepingle (Orléans)
Stability of solutions to stochastic partial differential equations. (English) Zbl 1338.60157
Reviewer: Dirk Blömker (Augsburg)
Regularity for fully nonlinear equations driven by spatial-inhomogeneous nonlocal operators. (English) Zbl 1385.47018
Reviewer: René L. Schilling (Dresden)
Nonlocal Cauchy problem for fractional stochastic evolution equations in Hilbert spaces. (English) Zbl 1333.35320
Existence for a second-order impulsive neutral stochastic integrodifferential equations with nonlocal conditions and infinite delay. (English) Zbl 1301.45010
Relative controllability of semilinear fractional stochastic control systems in Hilbert spaces. (English) Zbl 1391.34099
A partial integrodifferential equation in granular matter and its connection with a stochastic model. (English) Zbl 1247.35183
Existence results for impulsive neutral stochastic functional integro-differential inclusions with nonlocal initial conditions. (English) Zbl 1189.60119
Spectral analysis of a class of nonlocal elliptic operators related to Brownian motion with random jumps. (English) Zbl 1178.35278
Reviewer: Jerzy Gawinecki (Warszawa)
Nonlocal Cauchy problem for second order stochastic evolution equations in Hilbert spaces. (English) Zbl 1151.34046
Reviewer: Andrew Dale (Durban)
Invasion and adaptive evolution for individual-based spatially structured populations. (English) Zbl 1129.60080
Reviewer: Valentin Topchii (Omsk)
First-order continuous models of opinion formation. (English) Zbl 1128.91043
Reviewer: Salvatore Modica (Palermo)
Nonlinear PDE’s driven by Lévy diffusions and related statistical issues. (English) Zbl 1097.35126
Waymire, Edward C. (ed.) et al., Probability and partial differential equations in modern applied mathematics. Selected papers presented at the 2003 IMA summer program, Minneapolis, MN, USA, July 21 – August 1, 2003. New York, NY: Springer (ISBN 0-387-25879-5/hbk). The IMA Volumes in Mathematics and its Applications 140, 247-258 (2005).
The noisy oscillator. The first hundred years, from Einstein until now. (English) Zbl 1145.34002
Hackensack, NJ: World Scientific (ISBN 981-256-512-4/hbk). xiv, 144 p. (2005).
Reviewer: Iulian Stoleriu (Iaşi)
A probabilistic approach for nonlinear equations involving the fractional Laplacian and a singular operator. (English) Zbl 1069.60056
Reviewer: Jacques Franchi (Strasbourg)
Interacting particle approximation for nonlocal quadratic evolution problems. (English) Zbl 0985.60091
Strong approximations for stochastic differential equations with boundary conditions. (English) Zbl 0856.60060
Reviewer: Wu Chengxun (Shanghai)
Stochastic bifurcation. (English) Zbl 0715.93065
On bifurcation diagrams of stochastic dynamical systems. (English) Zbl 0667.93093
Reviewer: V.Wihstutz
Theory of dynamical systems and singular phenomena. Proceedings of a symposium held at the Research Institute for Mathematical Sciences, Kyoto University, Kyoto (Japan), July 2-5, 1986. (Japanese) Zbl 0682.58005
RIMS Kokyuroku, 602. Kyoto: Kyoto University, Research Institute for Mathematical Sciences. II, 246 p. (1986).
The effects of small noise on implicitly defined nonlinear dynamical systems. (English) Zbl 0527.93063
Advanced synergetics. Instability hierarchies of self-organizing systems and devices. (English) Zbl 0521.93002
Springer Series in Synergetics, Vol. 20. Berlin etc.: Springer-Verlag. xv, 356 pp. DM 98.00; $ 38.90 (1983).
Reviewer: H. Yutani
MSC:
00A69
37-01
34-01
68T05
58E07
37C75
37G99
60H10
34C15
34C27
34D30
70K20
70K50
82B05
93C15
93C40
93C55
93D99
93E03
34F05
93A13
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