A study of Deformable and Conformable Laplace Transform and its applications

Abstract

In this dissertation, we studied the deformable and conformable Laplace transform, where we gave exact solutions of fractional differential equations with a fractional derivative called the deformable fractional derivative of order α, where 0 < α ≤ 1. Also we studied the conformable fractional Laplace transform of the fractional Chebyshev and Legendre polynomials.