Zobrazeno 1 - 10
of 10
pro vyhledávání: '"İsmet Gölgeleyen"'
Publikováno v:
Fractal and Fractional, Vol 8, Iss 6, p 315 (2024)
In this paper, we consider a direct problem and an inverse problem involving a nonlinear fractional diffusion equation, which can be applied to many physical situations. The equation contains a Caputo fractional derivative, a symmetric uniformly elli
Externí odkaz:
https://doaj.org/article/c5a7597abdad4a179246fce10f3b6a27
Publikováno v:
AIMS Mathematics, Vol 8, Iss 3, Pp 5432-5444 (2023)
In this paper, we consider an initial-boundary value problem for a non-linear fractional diffusion equation on a bounded domain. The fractional derivative is defined in Caputo's sense with respect to the time variable and represents the case of sub-d
Externí odkaz:
https://doaj.org/article/badb47a95aab47a98dd439d70b566248
Autor:
İsmet Gölgeleyen, Özlem Kaytmaz
Publikováno v:
AIMS Mathematics, Vol 8, Iss 3, Pp 5703-5724 (2023)
In this work, we consider a Cauchy problem for the generalized Schrö dinger equation which has important applications in quantum kinetic theory, water wave problems and ferromagnetism. Due to its multidimensionality, it is important from the point o
Externí odkaz:
https://doaj.org/article/93922bd8a1314eedb3c3e85f2b7d0308
Publikováno v:
AIMS Mathematics. 8:5432-5444
In this paper, we consider an initial-boundary value problem for a non-linear fractional diffusion equation on a bounded domain. The fractional derivative is defined in Caputo's sense with respect to the time variable and represents the case of sub-d
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::933de03a838d068e9a8395568977d811
https://doi.org/10.3934/math.2023273
https://doi.org/10.3934/math.2023273
Autor:
İsmet Gölgeleyen, Özlem Kaytmaz
Publikováno v:
Applicable Analysis. 101:1505-1516
In this work, we first establish a local Carleman estimate for the ultrahyperbolic Schrodinger equation which arises in some theories of modern physics such as quantum mechanics and string theory. ...
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::57b6cc379067f84e20aa9077e29c20b3
https://doi.org/10.1080/00036811.2020.1781829
https://doi.org/10.1080/00036811.2020.1781829
Autor:
İsmet Gölgeleyen
Publikováno v:
Journal of Geometry and Physics. 168:104318
The aim of this article is to investigate the uniqueness of solution of an inverse source problem for a generalized kinetic equation on a Riemannian manifold. The problem is related with an integral geometry problem in semi-geodesic coordinates. We p
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9727ee29e4e06ae527be813261ca7c0a
https://doi.org/10.1016/j.geomphys.2021.104318
https://doi.org/10.1016/j.geomphys.2021.104318
Autor:
Mustafa Yildiz, İsmet Gölgeleyen
Publikováno v:
Volume: 40, Issue: 1 173-178
Cumhuriyet Science Journal
Cumhuriyet Science Journal, Vol 40, Iss 1, Pp 173-178 (2019)
Cumhuriyet Science Journal
Cumhuriyet Science Journal, Vol 40, Iss 1, Pp 173-178 (2019)
Inthis work, we deal with an ill-posed boundary value problem formultidimensional second-order evolution equations with variable coefficients.By using the given data, we reduce the problem to a functional equation and weobtain a new representation fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::0eb02f4e44a3da8abbc4ea90002a0319
https://dergipark.org.tr/tr/pub/csj/issue/43798/476495
https://dergipark.org.tr/tr/pub/csj/issue/43798/476495
Autor:
İsmet Gölgeleyen
Publikováno v:
Inverse Problems. 29:095006
This paper is concerned with the inverse problem of the determination of the right-hand side of a generalized transport equation from boundary measurements. The problem is originally related to an integral geometry problem along a family of curves wh
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::534e654cb6ed5e284d27042bfd7e0251
https://doi.org/10.1088/0266-5611/29/9/095006
https://doi.org/10.1088/0266-5611/29/9/095006
Publikováno v:
Advances in Difference Equations. 2016(1)
In this work, we consider two inverse problems for systems of nonlinear differential and differential-difference evolution equations. We propose a new technique for the solution of such inverse problems. We reduce the problem to a system of functiona
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::19607c07a002613c4a628b1e92f71781
Autor:
İsmet Gölgeleyen
Publikováno v:
Volume: 3, Issue: 2 48-55
Karaelmas Fen ve Mühendislik Dergisi
Karaelmas Fen ve Mühendislik Dergisi
Bu çalışmada, son zamanlarda özellikle X-ışını, MRI, ultrason, sismik tomografi ve elektron mikroskobu gibi görüntüleme tekniklerinde ortaya çıkan gelişmelere paralel olarak büyük ilgi gören integral geometri problemleri IGP ve bu pr
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::fdc0a4e38dccebe7315dd01f1b651d8e
https://dergipark.org.tr/tr/pub/karaelmasfen/issue/57128/806028
https://dergipark.org.tr/tr/pub/karaelmasfen/issue/57128/806028