Zobrazeno 1 - 10
of 18
pro vyhledávání: '"Ayşegül Daşcıoğlu"'
Autor:
Dilek Varol, Ayşegül Daşcıoğlu
Publikováno v:
Universal Journal of Mathematics and Applications, Vol 7, Iss 1, Pp 38-45 (2024)
This paper discusses the linear fractional Fredholm-Volterra integro-differential equations (IDEs) considered in the Caputo sense. For this purpose, Laguerre polynomials have been used to construct an approximation method to obtain the solutions of t
Externí odkaz:
https://doaj.org/article/2da659b7c4dd406e8584a016afbc81c3
Autor:
Neşe İşler Acar, Ayşegül Daşcıoğlu
Publikováno v:
Journal of Taibah University for Science, Vol 13, Iss 1, Pp 644-650 (2019)
In this study, a collocation method, one of the type of projection methods based on the generalized Bernstein polynomials, is developed for the solution of high-order linear Fredholm–Volterra integro-differential equations containing derivatives of
Externí odkaz:
https://doaj.org/article/953b25df1d7344eebdabdcd1dcaa2bef
Autor:
Dilek Varol Bayram, Ayşegül Daşcıoğlu
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-11 (2018)
Abstract The main purpose of this study is to present an approximation method based on the Laguerre polynomials for fractional linear Volterra integro-differential equations. This method transforms the integro-differential equation to a system of lin
Externí odkaz:
https://doaj.org/article/1edd3bee70da4214abde6189294aadd4
Autor:
Ayşegül Daşcıoğlu, Serpil Salınan
Publikováno v:
Mathematics, Vol 7, Iss 1, p 59 (2019)
In this paper, a collocation method based on the orthogonal polynomials is presented to solve the fractional integral equations. Six numerical examples are given to illustrate the method. The results are compared with the other methods in the literat
Externí odkaz:
https://doaj.org/article/6f945243af8f4a40850ccffc4bcb023e
Autor:
Dilek Varol, Ayşegül Daşcıoğlu
Publikováno v:
Mathematical Sciences. 15:47-54
In this paper, the numerical solutions of the linear fractional Fredholm-Volterra integro-differential equations have been investigated. For this purpose, Laguerre polynomials have been used to develop an approximation method. Precisely, using the su
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::24824445978924dec6ee4d0aa9415ad4
https://doi.org/10.1007/s40096-020-00369-y
https://doi.org/10.1007/s40096-020-00369-y
Autor:
Ayşegül Daşcıoğlu, Neşe İşler Acar
Publikováno v:
Journal of Taibah University for Science, Vol 13, Iss 1, Pp 644-650 (2019)
In this study, a collocation method, one of the type of projection methods based on the generalized Bernstein polynomials, is developed for the solution of high-order linear Fredholm-Volterra integro-differential equations containing derivatives of u
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::906cd374c6a74123fd1ceba5beae76f8
https://doi.org/10.1080/16583655.2019.1616962
https://doi.org/10.1080/16583655.2019.1616962
Autor:
Sevil Çulha Ünal, Ayşegül Daşcıoğlu
In this study, an analytic method based on the Jacobi elliptic functions has been presented to obtain the exact solutions of time fractional Korteweg-de Vries-Zakharov-Kuznetsov (KdV-ZK) equation. This equation is reduced to a nonlinear ordinary diff
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6efadbb35c12f30fd2699697f57a6efb
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/89763
http://acikerisim.sdu.edu.tr/xmlui/handle/123456789/89763
Autor:
Sevil Çulha Ünal, Ayşegül Daşcıoğlu
The Kawahara equation is a model of capillary-gravity water wave and plasma waves. In this paper, a direct method based on the Jacobi elliptic functions is presented to get analytical solutions of the space-time fractional Kawahara equation. Moreover
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9d36fde92c95d0033315f8df9b1ccdfd
https://hdl.handle.net/11499/46210
https://hdl.handle.net/11499/46210
Publikováno v:
Volume: 1, Issue: 1 30-46
NATURENGS
NATURENGS
In this paper, the largest set in the literature of space, time and space-time conformable fractional Phi-4 equations is found by utilizing an analytical method based upon the Jacobi elliptic functions. These solutions are obtained in a general form
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::14f49dca7ca7011a6877891a3c671076
https://dergipark.org.tr/tr/pub/naturengs/issue/54615/697242
https://dergipark.org.tr/tr/pub/naturengs/issue/54615/697242
One of the important nonlinear evolution equations in mathematical physics is the modified Kawahara equation. In this work, by utilizing an analytic method based on the Jacobi elliptic functions, a group of exact solutions of the fractional modified
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::d12142c9ac7a349eaf81b7e3304b0895
https://hdl.handle.net/11499/37037
https://hdl.handle.net/11499/37037