Yazar "Yalcin, Numan" için listeleme
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MULTIPLICATIVE CHEBYSHEV DIFFERENTIAL EQUATIONS AND MULTIPLICATIVE CHEBYSHEV POLYNOMIALS
Yalcin, Numan (VINCA INST NUCLEAR SCI, 2022)In this work, the definition of the first and second types of multiplicative Cheby-shev differential equations is given and the solutions of these equations are investigated with the help of multiplicative power series. ... -
Multiplicative Laplace transform and its applications
Yalcin, Numan; Celik, Ercan; Gokdogan, Ahmet (Elsevier Gmbh, Urban & Fischer Verlag, 2016)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 ... -
Numerical solutions of linear differential-algebraic equation systems via Hartley series
Unal, Emrah; Yalcin, Numan; Celik, Ercan (Amer Inst Physics, 2014)In this paper, Hartley series are presented first. Then, the operational matrix of integration together with the product and coefficient matrices are presented. They are used to transform linear differential equation systems ... -
Solutions of multiplicative ?ntegral equations via the multiplicative power series method
Bal, Arzu; Yalcin, Numan; Dedeturk, Mutlu (GAZI UNIV, 2022)In this study, definitions of types of multiplicative integral equations are given. And solutions of different types of multiplicative integral equations are investigated using the multiplicative power series method. These ... -
The solutions of multiplicative Hermite differential equation and multiplicative Hermite polynomials
Yalcin, Numan (Springer-Verlag Italia Srl, 2021)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 ... -
Solutions of multiplicative ordinary differential equations via the multiplicative differential transform method
Yalcin, Numan; Dedeturk, Mutlu (Amer Inst Mathematical Sciences-Aims, 2021)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.