On a fractional order nonlinear dynamic model of a triadic relationship
Journal Title: JOURNAL OF ADVANCES IN MATHEMATICS - Year 2014, Vol 5, Issue 3
Abstract
In this paper, a fractional order nonlinear dynamic model of involving three person is introduced. The proposed model describes the dynamic behavior of an interrelation of three person under different structures. Stability analysis of the fractional-order nonlinear dynamic model of involving three person is studied using the fractional Routh-Hurwitz criteria. By using stability analysis on fractional order system, we obtain sufficient condition on the parameters for the locally asymptotically stable of equilibrium points. Finally, our results are validated by numerical simulations.
Authors and Affiliations
Ilknur Koca, Nuri Ozalp
Multi-Source Backlogged Probabilistic Inventory Model for Crisp and Fuzzy Environment
This paper proposed a multi-item multi-source probabilistic periodic review inventory model under a varying holding cost constraint with zero lead time when: (1) the stock level decreases at a uniform rate over the cycle...
RESTRICTED CANCELLATION AND WEAKLY RESTRICTED CANCELLATION FUZZY MODULES
In this paper, we introduce and study (restricted cancellation, weakly restricted cancellation) fuzzy modules as generalization of notions restricted cancellation (weakly restricted cancellation) modules. We give many ba...
Bayesian Rule of Multiple Hypothesis testing: Past and Present
The era of emerging mathematical techniques towards Hypothesis Testing is between 1908 to 2003. History of hypothesis testing is based on some distinct scientists which are discussed in this article. Several of work...
The First Triangular Representation of The Symmetric Groups over a field K of characteristic p=0
In this paper we will study the new type of triangular representations of the symmetric groups which is called the first triangular representations of the symmetric groups over a field K of characteristic p=0.
Aanalytical Solution for Motion Around Radiated Varying Mass Body
In this work we will add the radiation pressure effect of varying mass body to the model of varying mass Hamiltonian function, including Periastron effect. The problem was formulated in terms of Delaunay variables. The s...