Özet:
It is known that Laplace transform converges for functions of exponential order. In order to extend the
possibility of working in a large class of functions, we present a modified Laplace transform that we call
ρ-Laplace transform, study its properties and prove its own convolution theorem. Then, we apply it to solve
some ordinary differential equations in the frame of a certain type generalized fractional derivatives. This
modified transform acts as a powerful tool in handling the kernels of these generalized fractional operators