Differential operators based on convolution definitions have been recognized as powerful mathematics tools to help model real world problems due to the properties associated to their different kernels. In particular the power law kernel helps include into mathematical formulation the effect of long range, while the exponential decay helps with fading memory, also with Poisson distribution properties that lead to a transitive behavior from Gaussian to non-Gaussian phases respectively, however, with steady state in time and finally the generalized Mittag-Leffler helps with many features including the queen properties, transitive behaviors, random walk for earlier time and power law for later time. Very recently both Ebola and Covid-19 have been a great worry around the globe, thus scholars have focused their energies in modeling the behavior of such fatal diseases. In this paper, we used new trend of fractional differential and integral operators to model the spread of Ebola and Covid-19.

基于卷积定义的微分算子因其不同内核的相关属性而被认为是强大的数学工具，可以帮助模拟现实世界的问题。特别是，幂律核有助于将长距离的影响纳入数学公式中，而指数衰减有助于记忆衰退，还具有泊松分布特性，分别导致从高斯相位到非高斯相位的传递行为，然而，在稳定的情况下最后，广义的 Mittag-Leffler 有助于许多特征，包括皇后属性、传递行为、早期的随机游走和后期的幂律。最近，埃博拉病毒和 Covid-19 都成为全球范围内的一大担忧，因此学者们将精力集中在对此类致命疾病的行为进行建模上。在本文中，我们使用分数微分和积分算子的新趋势来模拟埃博拉和 Covid-19 的传播。