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Solutions of multiplicative linear differential equations via the multiplicative power series methodYalcin, NumanDedeturk, MutluMultiplicative DerivativeMultiplicative Linear Differential EquationMultiplicative Power Series MethodMultiplicative Taylor SeriesIn this study, fundamental concepts of multiplicative analysis is given. Also, definitions of multiplicative Taylor series (MTS), multiplicative Taylor polynomials (MTP), and multiplicative power series (MPS) are given. Solutions of higher-order multiplicative linear differential equations (MLDE) are investigated with the help of the MPS method. Applications of MPS method are done for first, second, and third-order multiplicative ordinary linear differential equations. Copyright 2021, Yıldız Technical University.Yildiz Technical University2023Articlehttps://rdlopen.rawdatalibrary.net/r/gumushane/14381https://doi.org/10.14744/sigma.2023.000911304-7191enSigma Journal of Engineering and Natural Sciencesinfo:eu-repo/semantics/openAccessinfo:eu-repo/semantics/articlehttps://gumushane-rdlopen.rawdatalibrary.net/tr/items/gumushane/14381