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

Bayrak M. A., Demir A.

JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, vol.16, no.8, 2021 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 16 Issue: 8
  • Publication Date: 2021
  • Doi Number: 10.1115/1.4051284
  • Journal Name: JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Aerospace Database, Communication Abstracts, Compendex, INSPEC, Metadex, Civil Engineering Abstracts
  • Keywords: time fractional schrodinger equation, chebyshev collocation method, residual power series method, local fractional derivative, DIFFUSION EQUATION
  • Kocaeli University Affiliated: Yes

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.