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Toward stability investigation of fractional dynamical systems on time scale
(Işık University Press, 2024-10)
We study dynamic systems on time scales that are generalizations of classical differential or difference equations. In this paper, we present the asymptotic stability of linear fractional time-invariant systems with the ...
An SADR epidemic model with a transport-related infection between two regions
(Işık University Press, 2024-10)
If an infectious disease is eradicated in an area, the travelling of infected people can cause a re-epidemic of the disease in such area. Travelling is one of the influential factors in the spread of an infectious diseases. ...
Some new fixed point results for single valued mappings in b-metric spaces
(Işık University Press, 2024-07)
In recent investigations, the study of coincidence points and common fixed points is a new development in the domain of contractive type single valued theory. In this paper, we introduce the concepts of some new generalized ...
Homomorphic product of soft directed graphs
(Işık University Press, 2024-10)
A graph with directed edges is referred to be directed graph. It is possible to study and resolve problems with social connections, shortest paths, electrical circuits, etc. using directed graphs. D. Molodtsov proposed ...
Some fixed point theorems under contraction conditions using linear and rational expression in dislocated metric space
(Işık University Press, 2024-07)
In this paper, we have established some fixed point results in dislocated metric space. These results are proved for different types of contraction conditions using linear and rational expression for single as well as for ...
Prime - antimagic labeling of graphs in power management system
(Işık University Press, 2024-10)
Prime anti-magic labeling techniques play a vital role in various types of real-world applications in sensor networks, smart city management systems, security models, surveillance systems, and so on. A prime anti-magic ...
On Schauder conjecture for set-valued mappings and quasi-equilibrium problem
(Işık University Press, 2024-07)
In this paper, the Schauder conjecture for set-valued mappings is studied by using suitable conditions. Also, an existence theorem for a solution of quasi-equilibrium problem in the setting of topological vector spaces is ...
Rogue wavefunctions due to noisy quantum tunneling potentials
(Işık University Press, 2017-04)
In this paper, we study the effects of white-noised potentials on nonlinear quantum tunneling. We use a split-step scheme to numerically solve the nonlinear Schrodinger equation (NLSE) with a tunneling potential. We consider ...
An application of modified reductive perturbation method to symmetric regularized-long-wave
(Işık University Press, 2011-01)
In this work, we extended the application of "the modified reductive perturbation method" to symmetrical regularized long waves with quadratic nonlinearity and obtained various form of KdV equations as the governing ...
Analytical and numerical aspects of the dissipative nonlinear Schrödinger equation
(Işık University Press, 2016-01)
In this paper various analytical and numerical aspects of the dissipative nonlinear Schrodinger equation (d-NLS equation) are discussed. Decaying solitary wave type solutions derived by Demiray is reviewed and a new ...
