Explicit solution of time fractional modified equal width wave equation by Lie symmetry analysis

Abstract

In present article, the time fractional modified equal width wave equation has been examined by Lie symmetry reduction technique. This schemed methodology with generalized Erdelyi-Kober (E-K) integral and differential operator have been used to transformed the partial differential equations (PDEs) of generalized (non integer) order into ordinary differential equations (ODEs) of fractional order with insertion of some independent variable. At last, explicit solution obtained by power series method.