On analytical solution of system of nonlinear fractional boundary value problems associated with obstacle

In this paper, we use the modified variation of parameters method (MVPM), an elegant coupling of variation of parameters method (VPM) and Adomian's decomposition method (ADM), for finding the analytical solution of system of nonlinear fractional boundary value problems associated with obstacle. Caputo sense of fractional derivative is used to coup up with fractional term. The results are calculated in terms of series with easily computable components. The used technique is quite easy and convenient for such type problems because it has been previously applied over several nonlinear obstacle systems.