Zobrazeno 1 - 10
of 121
pro vyhledávání: '"Le, Dinh Long"'
Publikováno v:
Boundary Value Problems, Vol 2022, Iss 1, Pp 1-22 (2022)
Abstract In this paper, we consider the Cauchy problem for fractional evolution equations with the Caputo derivative. This problem is not well posed in the sense of Hadamard. There have been many results on this problem when data is noisy in L 2 $L^{
Externí odkaz:
https://doaj.org/article/ee8d84b0007e4e9489810471c0e5ce6d
Publikováno v:
AIMS Mathematics, Vol 7, Iss 12, Pp 20660-20683 (2022)
In this work, we focus on the final value problem of an inverse problem for both linear and nonlinear biharmonic equations. The aim of this study is to provide a regularized method for the bi-harmonic equation, once the observed data are obtained at
Externí odkaz:
https://doaj.org/article/5b57e7b10ee5493e833dbf44c26b4655
Autor:
Le Dinh, Long1 (AUTHOR), Nguyen, Duc Phuong2 (AUTHOR), Ragusa, Maria Alessandra2,3 (AUTHOR) maragusa@dmi.unict.it
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. Nov2023, Vol. 46 Issue 6, p1-28. 28p.
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 16147-16170 (2022)
In this paper, we consider a pseudo-parabolic equation with the Atangana-Baleanu Caputo fractional derivative. Our main tool here is using fundamental tools, namely the Fractional Tikhonov method and the generalized Tikhonov method, the error estimat
Externí odkaz:
https://doaj.org/article/d59ee54f0d7a4b56bc95977a84008263
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-16 (2021)
Abstract In this paper, we consider the biparabolic problem under nonlocal conditions with both linear and nonlinear source terms. We derive the regularity property of the mild solution for the linear source term while we apply the Banach fixed-point
Externí odkaz:
https://doaj.org/article/6ba5884125fe442896423fb9b944b8fa
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-23 (2021)
Abstract The main target of this paper is to study a problem of recovering a spherically symmetric domain with fractional derivative from observed data of nonlocal type. This problem can be established as a new boundary value problem where a Cauchy c
Externí odkaz:
https://doaj.org/article/4021d509344a4893a37dc9f2f97d2971
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021)
Abstract In this paper, the problem of finding the source function for the Rayleigh–Stokes equation is considered. According to Hadamard’s definition, the sought solution of this problem is both unstable and independent of continuous data. By usi
Externí odkaz:
https://doaj.org/article/a3d218810c904038b2ccf93aff1cad3f
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-22 (2021)
Abstract In this paper, we study the fractional nonlinear Rayleigh–Stokes equation under nonlocal integral conditions, and the existence and uniqueness of the mild solution to our problem are considered. The ill-posedness of the mild solution to th
Externí odkaz:
https://doaj.org/article/97fe8cfaec6d40458ebb540e32410d0d
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-11 (2021)
Abstract This paper considers the initial value problem for nonlinear heat equation in the whole space R N $\mathbb{R}^{N}$ . The local existence theory related to the finite time blow-up is also obtained for the problem with nonlinearity source (lik
Externí odkaz:
https://doaj.org/article/d7602a4852e949bc974595e9fac90f52
Publikováno v:
Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-12 (2021)
Abstract This paper is devoted to the study of existence and uniqueness of a mild solution for a parabolic equation with conformable derivative. The nonlocal problem for parabolic equations appears in many various applications, such as physics, biolo
Externí odkaz:
https://doaj.org/article/966373ed01974d5fbd4fc748396f44ca