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Q uite recently, fractional differential equations become one of the most important research topic, since their applications in various applied science, as in physics, finance, hydrology, biophysics, thermodynamics, control theory, statistical mechanics, for example see [1,2]. many results were given concerning the existence and uniqueness of the solution of such equations by using various techniques, while the fixed point theory tool still one of the efficacy methods, see for example. Several authors tried to develop a technique that depends on the Darbo or the Monch fixed point theorems with the Hausdorff or Kuratowski measure of noncompactness. This article deals with the existence of solutions for boundary value problems with fractional order differential equations and nonlinear integral boundary conditions. We furnish an example to illustrate our results. Consider the following boundary value problems:  cDαx(t) + f (t, x(t),c Dαx(t)) = 0, 0 ≤ t ≤ 1, 1 < α ≤ 2 ax(0)− bx′(0) = 0 x(1) = ∫ 1 0 g(s, x(s))ds + λ (1)

On the existence of solutions for fractional boundary valued problems with integral boundary conditions involving measure of non compactness