Zobrazeno 1 - 10
of 27
pro vyhledávání: '"Kaddour Guerbati"'
Publikováno v:
Partial Differential Equations in Applied Mathematics, Vol 10, Iss , Pp 100671- (2024)
The problem of existence and uniqueness of nonlinear Goursat is studied by Claude Wagschal in different spaces: holomorphic spaces, partially holomorphic, continuous-Gevrey and Gevrey-holomorphic. In this paper, we replace the sequence (n!)d−1 in t
Externí odkaz:
https://doaj.org/article/20691d9e19194832b96cd8d8fed219b5
Publikováno v:
Mathematica Bohemica, Vol 147, Iss 1, Pp 19-32 (2022)
In this work, using bilinear estimates in Bourgain type spaces, we prove the local existence of a solution to a higher order nonlinear dispersive equation on the line for analytic initial data $u_0$. The analytic initial data can be extended as holom
Externí odkaz:
https://doaj.org/article/abb3a7196e55464d9cd1965601839849
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 10037-10054 (2021)
The task of our work is to consider the initial value problem based on the model of the generalized Kadomtsev-Petviashvili I equation and prove the local well-posedness in an anisotropic Gevrey spaces and then global well-posedness which improves the
Externí odkaz:
https://doaj.org/article/0d9689a6540d488493ca7d5a409f5679
Publikováno v:
Surveys in Mathematics and its Applications, Vol 15 (2020), Pp 399-418 (2020)
In this paper, we study nonlocal boundary value problems of nonlinear Caputo fractional differential equations supplemented with Erdélyi-Kober type fractional integral boundary conditions. Existence results are obtained by applying the Mönch's fixe
Externí odkaz:
https://doaj.org/article/047abccf7ac142be951ec1ec2e0b6ab2
Publikováno v:
AIMS Mathematics, Vol 5, Iss 1, Pp 259-272 (2020)
We introduce a more general class of fractional-order boundary value problems involving the Caputo-Hadamard fractional derivative. Existence results for the given problem are established by applying the Mönch’s fixed point theorem and the techniqu
Externí odkaz:
https://doaj.org/article/1dee16fb805446eaa41048190dd800ea
Publikováno v:
Mathematics, Vol 8, Iss 5, p 809 (2020)
Studies of modified Korteweg-de Vries-type equations are of considerable mathematical interest due to the importance of their applications in various branches of mechanics and physics. In this article, using trilinear estimate in Bourgain spaces, we
Externí odkaz:
https://doaj.org/article/d8c296cf2f6647d996ed69e2eef47bb0
Publikováno v:
Mathematics, Vol 7, Iss 3, p 282 (2019)
In this paper, we discuss the existence of solutions for a hybrid boundary value problem of Caputo fractional differential equations. The main tool used in our study is associated with the technique of measures of noncompactness. As an application, w
Externí odkaz:
https://doaj.org/article/ec28845f668e48f3b23f1898ec35a880
Autor:
Kaddour Guerbati, Aissa Boukarou
Publikováno v:
Issue: 2 91-100
Maltepe Journal of Mathematics
Maltepe Journal of Mathematics
The Cauchy problem for the Kawahara equation with data in analytic Gevrey spaces on the circle is considered and its local well-posedness in these spaces is proved. Using Bourgain-Gevrey type analytic spaces and appropriate bilinear estimates, it is
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a28992613a3db8f6c34b2a32af1eb06c
https://doi.org/10.47087/mjm.930045
https://doi.org/10.47087/mjm.930045
Publikováno v:
Journal of Interdisciplinary Mathematics. 25:1037-1057
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::c6c81b4a946a6885ecae8b9647a2b6ba
https://doi.org/10.1080/09720502.2021.1917062
https://doi.org/10.1080/09720502.2021.1917062
Publikováno v:
AIMS Mathematics, Vol 6, Iss 9, Pp 10037-10054 (2021)
The task of our work is to consider the initial value problem based on the model of the generalized Kadomtsev-Petviashvili I equation and prove the local well-posedness in an anisotropic Gevrey spaces and then global well-posedness which improves the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::4b964317f51fef809fe6b1fb9908d092
https://aimspress.com/article/doi/10.3934/math.2021583?viewType=HTML
https://aimspress.com/article/doi/10.3934/math.2021583?viewType=HTML