The Existence of Positive Solution to a Nonlinear Fractional Differential Equation with Integral Boundary Conditions

نویسندگان

  • Meiqiang Feng
  • Xiaofang Liu
  • Hanying Feng
چکیده

The expression and properties of Green’s function for a class of nonlinear fractional differential equations with integral boundary conditions are studied and employed to obtain some results on the existence of positive solutions by using fixed point theorem in cones. The proofs are based upon the reduction of problem considered to the equivalent Fredholm integral equation of second kind. The results significantly extend and improve many known results even for integer-order cases.

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تاریخ انتشار 2011