مشخصات پژوهش

. In this paper, we first introduce the perturbation conformable fractional differential equations and present a new variational iteration method for solving and investigating their solutions. In the new variational iteration method for the perturbation conformable fractional differential equations, we obtain the exact solution of the equation in the first iteration or several subsequent iterations. Then, by presenting some applied examples and finding their solutions with the new method presented, and plotting the graph of the obtained solutions and comparing them with the corresponding ordinary differential equations, we discuss the efficiency and importance of this method