On q,? -differential transform method

Hıra F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, cilt.56, sa.32, 2023 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 56 Sayı: 32
  • Basım Tarihi: 2023
  • Doi Numarası: 10.1088/1751-8121/ace503
  • Dergi Adı: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
  • Ondokuz Mayıs Üniversitesi Adresli: Evet

Özet

In this study, the differential transform method (DTM) associated with the Hahn difference operator (D-q,D-?) has been examined. The definitions and theorems of the one and two-dimensional q, ?-DTM are introduced. Then, the presented q, ?-DTMs are applied to obtain the analytical or approximation solution of linear or non-linear q, ?-initial value problems consisting of the q, ?-ordinary or q, ?-partial differential equation.