Browsing by Author "Guvenilir, Ayse Feza"

Now showing 1 - 3 of 3

Citation - WoS: 19
Citation - Scopus: 21
Constantin's inequality for nabla and diamond-alpha derivative
(Springer international Publishing Ag, 2015) Guvenilir, Ayse Feza; Kaymakçalan, Billur; Kaymakcalan, Billur; Pelen, Neslihan Nesliye; Matematik
Calculus for dynamic equations on time scales, which offers a unification of discrete and continuous systems, is a recently developed theory. Our aim is to investigate Constantin's inequality on time scales that is an important tool used in determining some properties of various dynamic equations such as global existence, uniqueness and stability. In this paper, Constantin's inequality is investigated in particular for nabla and diamond-alpha derivatives.
Citation - WoS: 13
Citation - Scopus: 16
Discrete Gruss type inequality on fractional calculus
(Springeropen, 2015) Akin, Elvan; Kaymakçalan, Billur; Asliyuce, Serkan; Guvenilir, Ayse Feza; Kaymakcalan, Billur; Matematik
We give a discrete Gruss type inequality on fractional calculus.
Citation - WoS: 1
Some results on predator-prey dynamic systems with beddington-deangelis type functional response on time scale calculus
(Dynamic Publishers, inc, 2017) Kaymakçalan, Billur; Pelen, Neslihan Nesliye; Guvenilir, Ayse Feza; Kaymakcalan, Billur; 157065; 106920; 109448; Matematik
We consider two dimensional predator-prey system with Beddington-DeAngelis type functional response on time scales. For this special case, we try to find under which conditions the system is permanent and globally attractive. This study gives beneficial results for continuous and discrete cases and also for solving open problems related to the dynamical properties of the systems which include the species that have unusual life cycle.