Conformable fractional heat equation with fractional translation symmetry in both time and space

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Chung W., GÜNGÖR A., Kríz J., Lütfüoğlu B., Hassanabadi H.

Chinese Physics B, vol.32, no.4, 2023 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 32 Issue: 4
  • Publication Date: 2023
  • Doi Number: 10.1088/1674-1056/ac935f
  • Journal Name: Chinese Physics B
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Aquatic Science & Fisheries Abstracts (ASFA), Compendex, INSPEC
  • Keywords: fractional derivative, heat equation, conformable symmetry
  • Open Archive Collection: AVESIS Open Access Collection
  • Akdeniz University Affiliated: Yes

Abstract

We investigate the fractional heat equation with fractional translation in both time and position with different fractional orders. As examples, we consider a rod and an α-disk with an initial constant temperature and discuss their cooling processes in the examined formalism.