KONURALP JOURNAL OF MATHEMATICS, sa.4, ss.68-79, 2016 (ESCI İndekslerine Giren Dergi)
In this paper, a new method for solving ordinary differential equations is given by using the generalized Laplace transform Ln. Firstly, the
authors introduce a differential operator δ that is called the δ-derivative. A
relation between the Ln-transform of the δ-derivative of a function and the Lntransform of the function itself are derived. Then, the convolution theorem
is proven. Using obtained theorems, a few initial-value problems for ordinary
differential equations are solved as illustrations.