On a pseudo-parabolic equations with a non-local term of the Kirchhoff type with random Gaussian white noise
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Publication:2131705
DOI10.1016/j.chaos.2021.110771zbMath1498.35346OpenAlexW3133970298MaRDI QIDQ2131705
Zakia Hammouch, Nguyen Duc Phuong, Nguyen Huy Tuan, Rathinasamy Sakthivel
Publication date: 26 April 2022
Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.chaos.2021.110771
Gaussian white noiseill-posedfractional Laplacianpseudo-parabolic equationrandom noisenon-localregularized solution
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Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Well-posedness of the multidimensional fractional stochastic Navier-Stokes equations on the torus and on bounded domains
- Asymptotic behaviour of a non-classical and non-autonomous diffusion equation containing some hereditary characteristic
- A modified method for a backward heat conduction problem
- Positive solutions of nonlinear problems involving the square root of the Laplacian
- Applied functional analysis. Functional analysis, Sobolev spaces and elliptic differential equations
- Cauchy problems of semilinear pseudo-parabolic equations
- Statistical approach to some ill-posed problems for linear partial differential equations
- The singly truncated normal distribution: A non-steep exponential family
- Stochastic Burgers' equation with fractional derivative driven by multiplicative noise
- Final value problem for nonlinear time fractional reaction-diffusion equation with discrete data
- Qualitative properties for a pseudo-parabolic equation with nonlocal reaction term
- Approximate solution for a 2-D fractional differential equation with discrete random noise
- Approximate solution of the backward problem for Kirchhoff's model of parabolic type with discrete random noise
- Global solutions and blow up solutions to a class of pseudo-parabolic equations with nonlocal term
- On a class of fully nonlinear parabolic equations
- Parabolic and pseudo-parabolic partial differential equations
- Solutions of pseudo-heat equations in the whole space
- Optimal Discretization of Inverse Problems in Hilbert Scales. Regularization and Self-Regularization of Projection Methods
- Well-Posedness and Asymptotic Behavior of a Nonclassical Nonautonomous Diffusion Equation with Delay
- Basic concepts in the theory of seepage of homogeneous liquids in fissured rocks [strata]
- A quasi Tikhonov regularization for a two-dimensional backward heat problem by a fundamental solution
- Discretizations of the Spectral Fractional Laplacian on General Domains with Dirichlet, Neumann, and Robin Boundary Conditions
- Approximation of mild solutions of a semilinear fractional differential equation with random noise
- On a terminal value problem for a generalization of the fractional diffusion equation with hyper‐Bessel operator
- Regularization of a terminal value problem for time fractional diffusion equation
- Pseudoparabolic Partial Differential Equations
- Model equations for long waves in nonlinear dispersive systems
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