solving weakly singular fractional differential integration equations using multiple knot b-splines and operational matrices

In this article, we propose a new strategy for solving problems associated with weakly singular partial integro-differential equations. our approach uses multiple knot b-splines to develop a powerful arithmetical solution. we analyze the functional matrices used in this technique and provide a detailed overview of its functionality. additionally, we demonstrate the convergence of the proposed advance and verify its effectiveness via several numerical simulation.