Fractional differential equation with a complex potential

Uğurlu E., TAŞ K., Baleanu D.

Filomat, vol.34, no.5, pp.1731-1737, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 34 Issue: 5
  • Publication Date: 2020
  • Doi Number: 10.2298/fil2005731u
  • Journal Name: Filomat
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Page Numbers: pp.1731-1737
  • Keywords: Fractional differential equation, Spectral analysis, Weyl-titchmarsh-sims theory
  • Uşak University Affiliated: No

Abstract

In this manuscript, we discuss the square-integrable property of a fractional differential equation having a complex-valued potential function and we show that at least one of the linearly independent solutions of the fractional differential equation must be squarely integrable with respect to some function containing the imaginary parts of the spectral parameter and the potential function.