On q,? -differential transform method

Hıra F.

JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, vol.56, no.32, 2023 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 56 Issue: 32
  • Publication Date: 2023
  • Doi Number: 10.1088/1751-8121/ace503
  • Journal Name: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
  • Ondokuz Mayıs University Affiliated: Yes

Abstract

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.