الفهرس 
Abstract
PreliminariesOnly 14 pages are availabe for public view
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Abstract
differential equation is a mathematical equation f(x,y,(y,…) ́ )=0,that relates some functions of one or more variables with its derivatives, differential equations play a vital role in many fields including engineering, physics, economics and biology. The study of differential equations is a wide field in pure and applied mathematics, physics and engineering.All of these disciplines are concerned with the properties of differential equations of various types.
In this thesis, we deal with differential equations with fractional derivative.Fractional calculus is a branch of mathematical analysis that studies the possibility of taking real number powers or complex number powers of the differentiation operator D =d/dx and the integration operator I. The subject is as old as the differential calculus and goes back to times when Leibnitz and Newton invented differential calculus.