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Abstract
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. 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
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