Lie symmetry analysis of two–dimensional fractional integro–differential equations
摘要
A symmetry group analysis is studied for solving 2D-fractional integro-differential equations (2D-FIDEs) based on solving equations with nonlocal structures. A new prolongation formula is presented for 2D-FIDFs. The resulting determining equations which contain fractional derivatives and double integrals are solved for the first time in this paper. Some illustrative examples are given to clarify the method.