الفهرس 
Local stability in first order system of ODEsOnly 14 pages are availabe for public view
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Abstract
In this thesis we are studying globally asymptotic stability and chaotic criteria of ordinary and fractional order differential equations due to their important applications in Science, Engineering, Physics and Medicine as we illustrate in the introduction. Our studied mathematical model is an integro-differential equation with time delay and fractional order in order to generalize the classical case. Integro-differential equations involve derivatives and integrals of a function. Importance of this type of mathematical equations in real life appears in many various applications in different fields, e.g. RLC circuit model we study in our work also in epidemiology, integrodifferential equations found applications in the mathematical modelling of epidemics especially when age-structure is contained in the models or if they describe spatial epidemics.