Tran Ngoc Thach scite author profile

In this paper, we consider a backward problem for a nonlinear diffusion equation with a conformable derivative in the case of multidimensional and discrete data. We show that this problem is ill‐posed and then we establish stable approximate solutions by two different regularization methods: the Fourier truncated method and the quasi‐boundary value (QBV) method. Furthermore, the error between the approximate solution and the sought solution is given.

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Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data

Can

Zhou

Tuan

et al. 2020

Chaos, Solitons & Fractals

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Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion

Thach

Tuan²

2021

Stochastic Analysis and Applications

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On backward problems for stochastic fractional reaction equations with standard and fractional Brownian motion

Tuấn¹,

Foondun²,

Thach³

et al. 2022

Bulletin des Sciences Mathématiques

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Approximate solution for a 2-D fractional differential equation with discrete random noise

Tuan

Băleanu

Thach

et al. 2020

Chaos, Solitons & Fractals

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Tran Ngoc Thach

Final value problem for nonlinear time fractional reaction–diffusion equation with discrete data

Initial inverse problem for the nonlinear fractional Rayleigh-Stokes equation with random discrete data

Effect of sucrose on antioxidant activities and other health-related micronutrients in gamma-aminobutyric acid (GABA)-enriched sprouting Southern Vietnam brown rice

Regularization of a multidimensional diffusion equation with conformable time derivative and discrete data

Regularized solution approximation of a fractional pseudo-parabolic problem with a nonlinear source term and random data

Stochastic pseudo-parabolic equations with fractional derivative and fractional Brownian motion

On backward problems for stochastic fractional reaction equations with standard and fractional Brownian motion

Approximate solution for a 2-D fractional differential equation with discrete random noise

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