In this article, the solution of a mathematical model of childhood diseases with the Jumarie fractional derivative is discussed by coupling the Laplace variational iteration method (LVIM). The solution of the proposed model not only exists but is also unique. The proposed model is dimensionally balanced as well as stable. This article aims to present an analytical approximation solution for non-linear fractional-order differential equations (FDEs) with the Jumarie derivative. The model has also demonstrated relevant numerical and graphical descriptions.
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