Solutions around a regular a singular point of a sequential conformable fractional differential equation

Abstract

In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitions of alpha-analytic point, a-ordinary point and regular a singular point are presented. Finally, the fractional power series solutions are given around a regular-singular point, in the case of variable coefficients for homogeneous sequential linear conformable fractional differential equations of order 2 alpha.