A theorem is proved which shows that for an ODE invariant solutions can be found by solving an algebraic equation derived from the given ODE and the infinitesimals of an admitted Lie group of ...

SOLUTIONS OF A CLASS OF N-TH ORDER ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS VIA FRACTIONAL CALCULUS Shih-Tong Tu, 杜詩統, Wen-Chieh Luo, 羅光杰, Erh-Tsung Chin and 秦爾聰 Taiwanese Journal of Mathematics , ...