الفهرس 
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Abstract
Fractional differential equation (FODE) are used in more fields as engineering, physics and biology because of its accuracy and more generalization.
In this thesis, we introduce basics fractional calculus meaning and its effect in mathematical modeling in diseases. We illustrate some types of biological mathematical modeling in disease and study an example of fractional model of HIV. We study asymptotic stsbility of equilibrium points of models in fractional order. HIV and dengue fever models have been solved by approximate method(Mittage-Leffler(M-L)). Also bromosolphin test and influenza models have been solved by numerical methods (generalized euler method(GEM) method) in fractional scene. In the stability of equilibrium points is studied.the results show that mathematical modeling by fractional ordinary diffential equation (FODE) has more advantages than classical interger-order modeling.