Abstract
This study presents a procedure to transfer a Lomax distribution into a class of ordinary differential equations. In this proposed designed some functions, which obtained from Lomax distribution, such as Survival function, cumulative distribution function, and hazard function are used. The aim of this research is to convert the Lomax distribution to the set of differential equations, then find the exact solutions for the created equations. Despite the availability of the exact solution and this is sufficient, the approximate solution, both analytical and numerical, remains a question that we discuss in this paper to study the types of solutions to these mentioned equations. an approximate solution is determined by analytically by Variation Iteration method (VIM) and numerically by Runge-Kutta of 4th Order (RK4) method. Finally, a numerical illustration is also realized by utilizing MATLB 2016a, where the new results are shown.
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