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

Authors

  • Emrah Unal
  • Ahmet Gokdogan Gumushane University
  • Ercan Celik

Keywords:

conformable fractional derivative, regular \alpha singular point, sequential conformable fractional differential equation

Abstract

In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitionsof ?-analytic point, ?-ordinary point and regular ? 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?.

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Published

28-01-2017