A study of fractional Schrödinger equation composed of Jumarie fractional derivative

  title={A study of fractional Schr{\"o}dinger equation composed of Jumarie fractional derivative},
  author={Joydip Banerjee and Uttam Ghosh and Susmita Sarkar and Shantanu Das},
In this paper we have derived the fractional-order Schrödinger equation composed of Jumarie fractional derivative. The solution of this fractional-order Schrödinger equation is obtained in terms of Mittag–Leffler function with complex arguments, and fractional trigonometric functions. A few important properties of the fractional Schrödinger equation are then described for the case of particles in one-dimensional infinite potential well. One of the motivations for using fractional calculus in… 

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