Yazarlar
Yayınlar
- MakaleAçık Erişim2023Solutions of multiplicative linear differential equations via the multiplicative power series method
Yalcin, Numan; Dedeturk, Mutlu
In 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.
- MakaleAçık Erişim2021Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method
Yalçın, Numan; Dedeturk, Mutlu
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.
- MakaleYalnız künye2021The solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials
Yalçın, Numan
In this work, we give the power series solutions around an ordinary point, in the case of variable coefficients, homogeneous multiplicative differential equations of 2nd order. Further, we introduce the multiplicative Hermite differential equations, multiplicative Hermite polynomials and basic properties of these polynomials.
- MakaleYalnız künye2016Multiplicative Laplace transform and its applications
Yalcin, Numan; Celik, Ercan; Gokdogan, Ahmet
In this work, taking definitions and properties of Laplace transform in classical analysis as a basis, we give some basic definitions and properties of the multiplicative Laplace transform. In addition, solutions of some multiplicative differential equations are obtained by the help of this transform.