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العنوان
a study of some mathematical models on computer virus using fractional calculs /
المؤلف
Mohamed, ahmed hassan kamal.
هيئة الاعداد
باحث / احمد حسن كمال محمد
مشرف / احمد محمد احمد السيد
مشرف / انس احمد محمد عرفه
مشرف / محمد خليل ابراهيم خليل
مناقش / السيد محمد السيد احمد
مناقش / زكي فؤاد عبد الرحيم
الموضوع
fractional calculs. mathematical models. computer virus.
تاريخ النشر
2016.
عدد الصفحات
70 p. :
اللغة
الإنجليزية
الدرجة
ماجستير
التخصص
الرياضيات الحاسوبية
تاريخ الإجازة
27/8/2016
مكان الإجازة
جامعة بورسعيد - كلية العلوم ببورسعيد - الرياضيات وعلوم الحاسب
الفهرس
Only 14 pages are availabe for public view

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Abstract

In the last decade, there has been a considerable debate over the role of mathematical models in biology, epidemiology, physics and engineering. mathematical models have become important tools in analyzing the spread and control of to analyze the propagation behavior of computer. Understanding the transmission characteristics of computer viruses through networks has enormous financial impact in human societies. Typically, these models are formulated with classical derivatives of integer order. Fractional calculus and fractional order differential equations date back to near the foundation of calculus, and they have been used in engineering for several decades. Many physical processes appear to exhibit fractional order behavior that may vary with time or space. The fractional calculus has allowed the operations of integration and differentiation to any fractional order. The reason of using fractional order equations is that they are naturally related to systems with memory which exists in most e-epidemic models. In this work, we are interested in the fractional order models of computer viruses. Such models have become very important for decision making about computer viruses and malicious software programs intervention programs. Generalized models of computer infectious diseases are presented in this thesis by using ordinary differential equations of fractional order.