In this lecture, an initial boundary value problem related to a nonlinear fractional order integro-partial differential equation with a weakly singular kernel will be investigated. A finite difference scheme is used to discretize the problem in time direction. Afterwards, at each time level a collocation method based on Sinc function with double exponential transformation will be used to find the solution of problem. Finally, a numerical test problem is provided to illustrate the validity and effectiveness of the proposed algorithm.
