Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method

Numan Yalçın; Mutlu Dedeturk; Numan Yalçın; Mutlu Dedeturk

doi:10.3934/math.2021203

AIMS Mathematics

2021, Volume 6, Issue 4: 3393-3409. doi: 10.3934/math.2021203

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Research article

Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method

Numan Yalçın ^,,
Mutlu Dedeturk

Department of Mathematical Engineering, Gumushane University, Gumushane 29100, Turkey

Received: 22 October 2020 Accepted: 29 December 2020 Published: 19 January 2021
MSC : 34A30, 34A99, 35A22

In this study, fundamental definitions and theorems of the Multiplicative Differential Transform Method (MDTM) are given. First and second order multiplicative initial value problems are numerically solved with the help of MDTM.
Citation: Numan Yalçın, Mutlu Dedeturk. Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method[J]. AIMS Mathematics, 2021, 6(4): 3393-3409. doi: 10.3934/math.2021203

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Abstract

In this study, fundamental definitions and theorems of the Multiplicative Differential Transform Method (MDTM) are given. First and second order multiplicative initial value problems are numerically solved with the help of MDTM.

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