Fractional differential equation with a complex potential

Uğurlu E., TAŞ K., Baleanu D.

Filomat, cilt.34, sa.5, ss.1731-1737, 2020 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 34 Sayı: 5
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2298/fil2005731u
  • Dergi Adı: Filomat
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH
  • Sayfa Sayıları: ss.1731-1737
  • Anahtar Kelimeler: Fractional differential equation, Spectral analysis, Weyl-titchmarsh-sims theory
  • Uşak Üniversitesi Adresli: Hayır

Özet

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.