Zobrazeno 1 - 10
of 838
pro vyhledávání: '"uniqueness of solution"'
Autor:
Benameur, Jamel, Elhechmi, Chokri
In \cite{CJ1} M. Jaoua et al. studied the linear approximation of Robin problem on $\Omega$ an open bounded domain of $\R^d$, and they given some important results. In this paper, we study a nonlinear approximation of an elliptic problem with a nonli
Externí odkaz:
http://arxiv.org/abs/2409.16464
Publikováno v:
Journal of Taibah University for Science, Vol 18, Iss 1 (2024)
The objective of this study is to demonstrate the existence and uniqueness of a solution to a coupled system of infinite-delay fractional q integro-differential equations. The equation that will be the focus of this paper's analysis is noteworthy and
Externí odkaz:
https://doaj.org/article/b55c782c4c884cb8b439594222590ed4
Publikováno v:
Alexandria Engineering Journal, Vol 94, Iss , Pp 1-22 (2024)
This work explores a new abstract model using multi-term fractional differential operator and delay effect. The model is defined by the existence of a delay parameter and insertion of multi term fractional differential operators in the input function
Externí odkaz:
https://doaj.org/article/2e26c6c58df04466a36dcaf3acbea048
Publikováno v:
AIMS Mathematics, Vol 9, Iss 4, Pp 7819-7833 (2024)
This article presents the cotangent fractional Gronwall inequality, a novel understanding of the Gronwall inequality within the context of the cotangent fractional derivative. We furnish an explanation of the cotangent fractional derivative and empha
Externí odkaz:
https://doaj.org/article/312996989a294e198cf455228ed9b307
Autor:
Batirkhan Turmetov, Valery Karachik
Publikováno v:
AIMS Mathematics, Vol 9, Iss 3, Pp 6832-6849 (2024)
In this paper, the solvability of some inverse problems for a nonlocal analogue of a fourth-order parabolic equation was studied. For this purpose, a nonlocal analogue of the biharmonic operator was introduced. When defining this operator, transforma
Externí odkaz:
https://doaj.org/article/ca7d2541ea5f4a269da4bff6af57441e
Autor:
Luo Jiongxing
Publikováno v:
Applied Mathematics and Nonlinear Sciences, Vol 9, Iss 1 (2024)
The existence and distinctiveness of solutions, as well as the iterative approximations of the distinctive answer to the initial boundary value issue of nonlinear differential equations, may be solved with the help of the theory of nonlinear operator
Externí odkaz:
https://doaj.org/article/c41615d38fd444d89535096f473789f3
Publikováno v:
Electronic Research Archive, Vol 31, Iss 7, Pp 4077-4087 (2023)
This paper presents four uniqueness criteria for the initial value problem of a differential equation which depends on conformable fractional derivative. Among them is the generalization of Nagumo-type uniqueness theory and Lipschitz conditional theo
Externí odkaz:
https://doaj.org/article/4f314bb138d549fd8fe63c4eaa566827
Publikováno v:
AIMS Mathematics, Vol 8, Iss 8, Pp 18206-18222 (2023)
The major objective of this scheme is to investigate both the existence and the uniqueness of a solution to an integro-differential equation of the second order that contains the Caputo-Fabrizio fractional derivative and integral, as well as the q-in
Externí odkaz:
https://doaj.org/article/164d1446615c441d9fedfa33551455d5
Publikováno v:
Electronic Research Archive, Vol 31, Iss 3, Pp 1253-1270 (2023)
This paper investigates the existence and uniqueness of solutions for several two-point fractional BVPs, including hybrid fractional BVP, sequential fractional BVP and so on. Using the Banach contraction mapping theorem, some sharp conditions that de
Externí odkaz:
https://doaj.org/article/e426970d6c9d4b309c3ee1b38fcfb821