Ebola virus disease is a fatal hemorrhagic fever of humans and primates caused by viruses. There are many mathematical models to investigate this viral disease. In this paper, the classical form of the Ebola virus disease model has been modified by using new fractional derivatives. The resulting fractional forms of the Ebola virus disease model have then been examined by applying a newly-developed semi-analytical method. The optimal perturbation iteration method has been implemented to obtain new approximate solutions to the system of differential equations which better model the Ebola virus disease. New algorithms are constructed by using three types of operators of fractional derivatives. A real-world problem is also solved in order to prove the efficiency of the proposed algorithms. A good agreement has been found with the real values of the parameters. Finally, several graphical illustrations are presented for different values of the involved biological parameters to show the effects of the new approximate solutions. Obtained results prove that the new method is highly accurate in solving these types of fractional models.

埃博拉病毒病是由病毒引起的人类和灵长类动物致命的出血热。有许多数学模型可以研究这种病毒性疾病。在本文中，埃博拉病毒病模型的经典形式已通过使用新的分数导数进行了修改。然后通过应用新开发的半分析方法检查了由此产生的埃博拉病毒病模型的分数形式。已实施最优扰动迭代方法以获得微分方程组的新近似解，从而更好地模拟埃博拉病毒病。新算法是通过使用三种类型的分数导数运算符来构建的。还解决了一个实际问题，以证明所提出算法的效率。已经发现与参数的真实值非常一致。最后，针对所涉及的生物参数的不同值提供了几个图形说明，以显示新近似解的效果。获得的结果证明新方法在求解这些类型的分数模型时具有很高的准确度。