TY - JOUR TI - Analytical solutions to contact problem with fractional derivatives in the sense of Caputo AU - Noor Muhammad Aslam AU - Rafiq Muhammad AU - Khan Salah-Ud-Din AU - Qureshi Muhammad Amer AU - Kamran Muhammad AU - Khan Shahab-Ud-Din AU - Saeed Faisal AU - Ahmad Hijaz JN - Thermal Science PY - 2020 VL - 24 IS - 11 SP - 313 EP - 323 PT - Article AB - The current study extends the applications of the variational iteration method for the analytical solution of fractional contact problems. The problem involves Caputo sense while calculating the derivative of fractional order, we apply the Penalty function technique to transform it into a system of fractional boundary value problems coupled with a known obstacle. The variational iteration method is employed to find the series solution of fractional boundary value problem. For different values of fractional parameters, residual errors of solutions are plotted to make sure the convergence and accuracy of the solution. The reasonably accurate results show that one of the highly effective and stable methods for the solution of fractional boundary value problem is the method of variational iteration.