New study of weakly singular kernel fractional fourth-order partial integro-differential equations based on the optimum q-homotopic analysis method

摘要

In this study, the optimum q-homotopic analysis method is employed to solve fourth order partial integro-differential equations with high-order non-integer derivatives. Several specific and clear examples are also given to illustrate the simplicity and capacity of the proposed approach. All of the computations were performed using Mathematica.