Mathematics / MatematikCollection of Mathematics / Matematik Bölümü koleksiyonuhttp://hdl.handle.net/11147/82018-03-22T15:28:45Z2018-03-22T15:28:45ZAnalytic investigation of a reaction-Diffusion brusselator model with the time-space fractional derivativeAslan, İsmailhttp://hdl.handle.net/11147/68082018-02-20T09:00:11Z2014-04-01T00:00:00ZAnalytic investigation of a reaction-Diffusion brusselator model with the time-space fractional derivative
Aslan, İsmail
It is well known that many models in nonlinear science are described by fractional differential equations in which an unknown function appears under the operation of a derivative of fractional order. In this study, we propose a reaction-diffusion Brusselator model from the viewpoint of the Jumarie's modified Riemann-Liouville fractional derivative. Based on the (G'/G)-expansion method, various kinds of exact solutions are obtained. Our results could be used as a starting point for numerical procedures as well.
2014-04-01T00:00:00ZOn pseudo semisimple ringsBüyükaşık, EnginMohamed, Saad H.Mutlu, Haticehttp://hdl.handle.net/11147/68032018-02-19T11:00:09Z2013-03-01T00:00:00ZOn pseudo semisimple rings
Büyükaşık, Engin; Mohamed, Saad H.; Mutlu, Hatice
A necessary and sufficient condition is obtained for a right pseudo semisimple ring to be left pseudo semisimple. It is proved that a right pseudo semisimple ring is an internal exchange ring. It is also proved that a right and left pseudo semisimple ring is an SSP ring
2013-03-01T00:00:00ZRings over which flat covers of simple modules are projectiveBüyükaşık, Enginhttp://hdl.handle.net/11147/67932018-02-15T09:00:09Z2012-06-01T00:00:00ZRings over which flat covers of simple modules are projective
Büyükaşık, Engin
Let R be a ring with identity. We prove that, the flat cover of any simple right R-module is projective if and only if R is semilocal and J(R) is cotorsion if and only if R is semilocal and any indecomposable flat right R-module with unique maximal submodule is projective.
2012-06-01T00:00:00ZMotion of vortices outside a cylinderTülü, SerdarYılmaz, Oğuzhttp://hdl.handle.net/11147/67832018-02-14T09:00:10Z2010-12-01T00:00:00ZMotion of vortices outside a cylinder
Tülü, Serdar; Yılmaz, Oğuz
The problem of motion of the vortices around an oscillating cylinder in the presence of a uniform flow is considered. The Hamiltonian for vortex motion for the case with no uniform flow and stationary cylinder is constructed, reduced, and constant Hamiltonian (energy) curves are plotted when the system is shown to be integrable according to Liouville. By adding uniform flow to the system and by allowing the cylinder to vibrate, we model the natural vibration of the cylinder in the flow field, which has applications in ocean engineering involving tethers or pipelines in a flow field. We conclude that in the chaotic case forces on the cylinder may be considerably larger than those on the integrable case depending on the initial positions of vortices and that complex phenomena such as chaotic capture and escape occur when the initial positions lie in a certain region.
2010-12-01T00:00:00Z