Yazarlar

• Celik, Ercan(1)
• Gokdogan, Ahmet(1)
• Gökdoğan, Ahmet(1)
• Unal, Emrah(1)
• Ünal, Emrah(1)

• MakaleYalnız künye2017Scopus SJRQ2/r/gumushane/15343
  Solutions around a regular α singular point of a sequential conformable fractional differential equation

  Unal, Emrah; Gokdogan, Ahmet; Celik, Ercan

  In this work, firstly, some concepts of conformable fractional calculus in literature are given. Secondly, definitions of α-analytic point, α-ordinary point and regular α 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 2α.

  AtıfScopus9·WoS9

  İncele
• MakaleAçık Erişim2017Scopus SJRQ2/r/gumushane/15209
  Solution of conformable fractional ordinary differential equations via differential transform method

  Ünal, Emrah; Gökdoğan, Ahmet

  Recently, a new fractional derivative called the conformable fractional derivative is given which is based on the basic limit definition of the derivative in (Khalil et al., 2014). Then, the fractional versions of chain rules, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions is developed in (Abdeljawad, 2015). In this paper, we give conformable fractional differential transform method and its application to conformable fractional differential equations.

  AtıfScopus134·WoS116·OpenAlex140

  İncele