Browsing Matematik Bölümü by Subject "Regularization"

Now showing items 1-8 of 8

An inverse source problem for pseudo-parabolic equation with Caputo derivative

Long, Le Dinh; Luc, Nguyen Hoang; Tatar, Salih; Baleanu, Dumitru; Can, Nguyen Huu (2021-04)

In this paper, we consider an inverse source problem for a fractional pseudo-parabolic equation. We show that the problem is severely ill-posed (in the sense of Hadamard) and the Tikhonov regularization method is proposed ...
Approximate Solution for A 2-D Fractional Differential Equation With Discrete Random Noise

Tuan, Nguyen Huy; Baleanu, Dumitru; Thach, Tran Ngoc; O’Regan, Donal; Can, Nguyen Huu (Elsevier LTD., 2020-04)

We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the ...
Identifying the initial condition for space-fractional sobolev equation

Luc, Nguyen Hoang; Long, Le Dinh; Hang, Le Thi Diem; Baleanu, Dumitru; Can, Nguyen Hu (2021-10)

In this work, a final value problem for a fractional pseudo-parabolic equation is considered. Firstly, we present the regularity of solution. Secondly, we show that this problem is ill-posed in Hadamard’s sense. After that ...
Identifying the source function for time fractional diffusion with non-local in time conditions

Luc, Nguyen Hoang; Baleanu, Dumitru; Agarwal, Ravi P.; Long, Le Dinh (2021-07)

The diffusion equation has many applications in fields such as physics, environment, and fluid mechanics. In this paper, we consider the problem of identifying an unknown source for a time-fractional diffusion equation in ...
On a Kirchhoff diffusion equation with integral condition

Nam, Danh Hua Quoc; Baleanu, Dumitru; Luc, Nguyen Hoang; Can, Nguyen Huu (2020-12-01)

This paper is devoted to Kirchhoff-type parabolic problem with nonlocal integral condition. Our problem has many applications in modeling physical and biological phenomena. The first part of our paper concerns the local ...
Regularization of a terminal value problem for time fractional diffusion equation

Triet, Nguyen Anh; Au, Vo Van; Long, Le Dinh; Baleanu, Dumitru; Tuan, Nguyen Huy (2020-04)

In this article, we study an inverse problem with inhomogeneous source to determine an initial data from the time fractional diffusion equation. In general, this problem is ill-posed in the sense of Hadamard, so the ...
Regularization of the Inverse Problem for Time Fractional Pseudo-parabolic Equation with Non-local in Time Conditions

Phuong, Nguyen Duc; Long, Le Dinh; Nguyen, Anh Tuan; Baleanu, Dumitru (2022-12)

This paper is devoted to identifying an unknown source for a time-fractional diffusion equation in a general bounded domain. First, we prove the problem is non-well posed and the stability of the source function. Second, ...
The Existence of Solutions For a Nonlinear Mixed Problem of Singular Fractional Differential Equations

Baleanu, Dumitru; Mohammadi, Hakimeh; Rezapour, Shahram (Springer Open, 2013-12-11)

By using fixed point results on cones, we study the existence of solutions for the singular nonlinear fractional boundary value problem (c)D(alpha)u(t) = f(t, u(t), u'(t), (c)D(beta)u(t)), u(0) = au(1), u'(0) = ...

Now showing items 1-8 of 8

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Browsing Matematik Bölümü by Subject "Regularization"

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