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 \rho-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.
Primary Language | English |
---|---|
Subjects | Mathematical Sciences |
Journal Section | Articles |
Authors | |
Publication Date | August 31, 2018 |
Published in Issue | Year 2018 Volume: 1 Issue: 2 |