FODES

AcronymDefinition
FODESFondation pour le Développement Économique et Social (French: Foundation for Economic and Social Development and; Haiti)
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References in periodicals archive ?
Although there are many studies that examined the dynamics between tumor and immune system response, the proposed model in this study differs from them in terms of both mathematical structure such as the use of Holling function type2 (functional and numerical responses) in the model consisting of the FODE system with multi-orders and examination of qualitative analysis of the proposed model.
In this study, a FODE model with multi-orders considering the basic mechanisms of tumor and the memory T cells having functional and numerical responses, respectively, has been constructed, and so, the qualitative analysis of the proposed model was performed.
Also, the FODE systems with multi-orders have been introduced, and the properties such as stability and existence of the equilibrium points of such systems are given.
Let us assume that the autonomous system of FODE with multi-orders is as following:
For the system of FODE with multi-orders [[alpha].sub.1] and [[alpha].sub.2], the stability region is as shown in Figure 1 (where [sigma] and [omega] are the real and imaginary parts of the eigenvalues, respectively, and j = V-1).
Under the assumptions aforementioned, we have proposed the following system of FODE with multi-orders [[alpha].sub.1] and [[alpha].sub.2]:
The existence and uniqueness of solutions of FODEs are an active area of research for the last few decades.
Another qualitative aspect which is very important from the numerical and optimization point of view is devoted to stability analysis of FODEs. The stability of fractional differential equations has gained great attention from the researchers very recently.
Motivated by the aforementioned contributions of researchers, we discuss the existence and uniqueness of solutions for coupled system of nonlinear FODEs with boundary conditions involving fractional integral and derivative.
We use Perov's fixed point theorem [33] and Leray-Schauder fixed point theorem to develop some results for existence of at least one solution for our proposed coupled nonlinear FODEs with boundary conditions.
Here we provide some results and definitions for our proposed coupled nonlinear FODEs with boundary conditions from literature [1-3].
Consider the following coupled nonlinear FODEs of boundary conditions: