Communications in Theoretical Physics ›› 2016, Vol. 66 ›› Issue (01): 12-18.

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Conformable Fractional Nikiforov-Uvarov Method

H. Karayer, D. Demirhan, F. Büyükk?l?ç   

  1. Department of Physics, Faculty of Science, Ege University, 35100 Bornova, Izmir, Turkey
  • Received: 2016-03-07 Revised: 2016-05-10 Published: 2016-07-01
  • Contact: H. Karayer E-mail:hale.karayer@gmail.com

Abstract: We introduce conformable fractional Nikiforov-Uvarov (NU) method by means of conformable fractional derivative which is the most natural definition in non-integer calculus. Since, NU method gives exact eigenstate solutions of Schrödinger equation (SE) for certain potentials in quantum mechanics, this method is carried into the domain of fractional calculus to obtain the solutions of fractional SE. In order to demonstrate the applicability of the conformable fractional NU method, we solve fractional SE for harmonic oscillator potential, Woods-Saxon potential, and Hulthen potential.

Key words: fractional calculus, fractional differential equations, conformable fractional derivative, conformable fractional Nikiforov-Uvarov method

PACS numbers: 

  • 02.30.Hq