Fractional calculus is a branch of mathematical analysis that studies the several different possibilities of defining real number powers or complex number powers of the differentiation and integration operators. Recently, Atangana and Baleanu proposed operators based on generalized Mittag-Leffler functions to solve fractional integrals and derivatives. These contributions have set off an explosion of new research in fractional calculus, and this paper present a comprehensive bibliometric analysis of the peer-reviewed papers inspired by Atangana and Baleanu. In total, 351 papers in the Scopus database have used Atangana-Baleanu operators and this number is growing at 80.25% each year since 2016. These papers were written by 343 authors, predominantly from Mexico, Saudi Arabia and India. Although these data show that Atangana-Baleanu operators support global and fast growing scientific research, the field is dominated statistically by a few productive individuals. I present citation network of the most prolific authors and show collaboration and citation networks. Finally, I present a thematic analysis of the papers applying Atanagana-Baleanu operators and show how research forms clusters based on: analytical solutions, numerical simulations or applications in science and engineering.

分数演算是数学分析的一个分支，研究定义微分和积分算子的实数幂或复数幂的几种不同可能性。最近，Atangana和Baleanu提出了基于广义Mittag-Leffler函数的算子来求解分数积分和导数。这些贡献引发了分数微积分的新研究的爆炸式增长，本文对受Atangana和Baleanu启发的同行评审论文进行了全面的文献计量分析。Scopus中共有351篇论文数据库使用了Atangana-Baleanu运算符，并且自2016年以来，这个数字每年以80.25％的速度增长。这些论文由343位作者撰写，主要来自墨西哥，沙特阿拉伯和印度。尽管这些数据表明Atangana-Baleanu运营商支持全球且发展迅速的科学研究，但从统计学上讲，该领域还是由一些富有生产力的个人主导。我介绍了最多产的作者的引文网络，并展示了协作和引文网络。最后，我对应用Atanagana-Baleanu算子的论文进行了主题分析，并展示了研究如何基于以下内容进行聚类：分析解决方案，数值模拟或在科学和工程中的应用。