Copy For Citation
Hıra F.
JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL, vol.56, no.32, pp.1-18, 2023 (SCI-Expanded)
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Publication Type:
Article / Article
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Volume:
56
Issue:
32
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Publication Date:
2023
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Doi Number:
10.1088/1751-8121/ace503
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Journal Name:
JOURNAL OF PHYSICS A: MATHEMATICAL AND THEORETICAL
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Journal Indexes:
Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, INSPEC, MathSciNet, zbMATH
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Page Numbers:
pp.1-18
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Ondokuz Mayıs University Affiliated:
Yes
Abstract
Abstract
In this study, the differential transform method (DTM) associated with the Hahn difference operator (
D
q
,
ω
)
has been examined. The definitions and theorems of the one and two-dimensional
q
,
ω
-DTM are introduced. Then, the presented
q
,
ω
-DTMs are applied to obtain the analytical or approximation solution of linear or non-linear
q
,
ω
-initial value problems consisting of the
q
,
ω
-ordinary or
q
,
ω
-partial differential equation.