Search Results - "Nguyen, Hoang Luc"
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1
On continuity of the fractional derivative of the time-fractional semilinear pseudo-parabolic systems
Published in Advances in difference equations (23-01-2021)“…In this work, we study an initial value problem for a system of nonlinear parabolic pseudo equations with Caputo fractional derivative. Here, we discuss the…”
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2
Stability of fractional order of time nonlinear fractional diffusion equation with Riemann–Liouville derivative
Published in Mathematical methods in the applied sciences (15-07-2022)“…In this paper, we investigate an equation of nonlinear fractional diffusion with the derivative of Riemann–Liouville. Firstly, we determine the global…”
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3
Some well‐posed results on the time‐fractional Rayleigh–Stokes problem with polynomial and gradient nonlinearities
Published in Mathematical methods in the applied sciences (15-01-2022)“…In this work, we ponder on a Cauchy problem for the Rayleigh–Stokes equation accompanied by polynomial and gradient nonlinearities. We particularly concern…”
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4
Inverse source problem for time fractional diffusion equation with Mittag-Leffler kernel
Published in Advances in difference equations (13-05-2020)“…In this work, we study the problem to identify an unknown source term for the Atangana–Baleanu fractional derivative. In general, the problem is severely…”
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5
Identifying the space source term problem for a generalization of the fractional diffusion equation with hyper-Bessel operator
Published in Advances in difference equations (01-06-2020)“…In this paper, we consider an inverse problem of identifying the source term for a generalization of the time-fractional diffusion equation, where regularized…”
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6
Reconstructing the right-hand side of a fractional subdiffusion equation from the final data
Published in Journal of inequalities and applications (27-02-2020)“…In this study, we study an inverse source problem for the time-fractional diffusion equation, where the final data t = T are given. We show that our problem is…”
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7
On a time fractional diffusion with nonlocal in time conditions
Published in Advances in difference equations (13-04-2021)“…In this work, we consider a fractional diffusion equation with nonlocal integral condition. We give a form of the mild solution under the expression of Fourier…”
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8
A nonlinear fractional Rayleigh–Stokes equation under nonlocal integral conditions
Published in Advances in difference equations (19-08-2021)“…In this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild…”
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9
Recovering the space source term for the fractional-diffusion equation with Caputo–Fabrizio derivative
Published in Journal of inequalities and applications (30-01-2021)“…This article is devoted to the study of the source function for the Caputo–Fabrizio time fractional diffusion equation. This new definition of the fractional…”
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10
Solutions of a Nonlinear Diffusion Equation with a Regularized Hyper-Bessel Operator
Published in Fractal and fractional (01-09-2022)“…We investigate the Cauchy problem for a nonlinear fractional diffusion equation, which is modified using the time-fractional hyper-Bessel derivative. The…”
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11
On an initial inverse problem for a diffusion equation with a conformable derivative
Published in Advances in difference equations (20-11-2019)“…In this paper, we consider the initial inverse problem for a diffusion equation with a conformable derivative in a general bounded domain. We show that the…”
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12
Regularization of the fractional Rayleigh–Stokes equation using a fractional Landweber method
Published in Advances in difference equations (03-09-2020)“…In this paper, we consider a time-fractional backward problem for the fractional Rayleigh–Stokes equation in a general bounded domain. We propose a fractional…”
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13
Identification of source term for the ill-posed Rayleigh–Stokes problem by Tikhonov regularization method
Published in Advances in difference equations (08-08-2019)“…In this paper, we study an inverse source problem for the Rayleigh–Stokes problem for a generalized second-grade fluid with a fractional derivative model. The…”
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14
Final Value Problem for Parabolic Equation with Fractional Laplacian and Kirchhoff’s Term
Published in Journal of function spaces (2021)“…In this paper, we study a diffusion equation of the Kirchhoff type with a conformable fractional derivative. The global existence and uniqueness of mild…”
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15
On a Kirchhoff diffusion equation with integral condition
Published in Advances in difference equations (31-10-2020)“…This paper is devoted to Kirchhoff-type parabolic problem with nonlocal integral condition. Our problem has many applications in modeling physical and…”
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16
Determination of source term for the fractional Rayleigh–Stokes equation with random data
Published in Journal of inequalities and applications (05-12-2019)“…In this article, we consider the problem of finding a source term of a Rayleigh–Stokes equation. Our problem is not well-posed in the sense of Hadamard. The…”
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17
A filter method for inverse nonlinear sideways heat equation
Published in Advances in difference equations (07-04-2020)“…In this paper, we study a sideways heat equation with a nonlinear source in a bounded domain, in which the Cauchy data at x = X are given and the solution in 0…”
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18
Regularized solution for nonlinear elliptic equations with random discrete data
Published in Mathematical methods in the applied sciences (01-12-2019)“…The aim of this paper is to study the Cauchy problem of determining a solution of nonlinear elliptic equations with random discrete data. A study showing that…”
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19
On Fractional Diffusion Equation with Caputo-Fabrizio Derivative and Memory Term
Published in Advances in mathematical physics (16-08-2021)“…In this paper, we examine a nonlinear fractional diffusion equation containing viscosity terms with derivative in the sense of Caputo-Fabrizio. First, we…”
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20
Identification of Source Term for the Time-Fractional Diffusion-Wave Equation by Fractional Tikhonov Method
Published in Mathematics (Basel) (01-10-2019)“…In this article, we consider an inverse problem to determine an unknown source term in a space-time-fractional diffusion equation. The inverse problems are…”
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