Solving Time Fractional Schrodinger Equation in the Sense of Local Fractional Derivative


BAYRAK M. A. , DEMİR A.

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, vol.16, no.8, 2021 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 8
  • Publication Date: 2021
  • Doi Number: 10.1115/1.4051284
  • Title of Journal : JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS

Abstract

The motivation of the study is solving the mathematical problems including time fractional Schrodinger equation by means of a method which is a combination of Chebyshev collocation method and residual power series method (RPSM). The time fractional derivative in local fractional derivative sense is discretized with the help of Chebyshev collocation method to reduce time fractional Schrodinger equation into a system including two fractional ordinary differential equations. At this stage, applying RPSM produces the truncated solution of the mathematical problem. Given examples illustrated that this method is applicable and compatible for solving mathematical problems with fractional derivative.