Solutions of multiplicative linear differential equations via the multiplicative power series method
1Department of Electronics and Automation, Vocational School of Gumushane, Gumushane University, Gumushane, 29100, Türkiye
2Department of Mathematical Engineering, Gumushane University, Gumushane, 29100, Türkiye
2Department of Mathematical Engineering, Gumushane University, Gumushane, 29100, Türkiye
Sigma J Eng Nat Sci 2023; 41(4): 837-847 DOI: 10.14744/sigma.2023.00091
Abstract
In this study, fundamental concepts of multiplicative analysis is given. Also, definitions of multiplicative Taylor series (MTS), multiplicative Taylor polynomials (MTP), and multiplica-tive 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.
Keywords: Multiplicative Derivative; Multiplicative Linear Differential Equation; Multiplicative Taylor Series; Multiplicative Power Series Method
