الفهرس 
Historical survey on fractional calculus
ADM applied to a system of di erential equationsOnly 14 pages are availabe for public view
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Abstract
Preface
Di erential equations are important and essential tools for modeling many
biological, engineering and industrial applications. Moreover, fractional calculus
become a vital tool in describing these applications. In many cases,
these fractional order models simulate the given problem eciently than
those of integer order models. The analytic solutions of most fractional
di erential equations generally can’t be obtained. As a consequence, approximate
and numerical methods play an important role in identifying the
solution of such fractional equations and exploring their applications.
The main objective of this thesis is to apply some approximate analytic
techniques for solving some fractional models. This thesis consists of four
chapters organized as follows:
Chapter 1: presents basic concepts and results of some properties of
ordinary di erential equations such as existence, uniqueness of solutions
and a brief discussion on the stability conditions for the linear
and non-linear ordinary di erential equations. In addition, a historical
survey on the fractional calculus and some basic de nitions and
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