Mathematics, Volume 11, Issue 7
2023 April-1 - 200 articles
Cover Story: The modified Bessel function (MBF) of the first kind is a fundamental special function with applications in applied mathematics and physics. When the order of this function is an integer, it has an integral representation that includes the exponential of the cosine function. When analyzing problems of communication in networks using fractional time derivatives, Martín and Estrada discovered the necessity of generalizing the MBF to include a fractional parameter, such that the exponential in the previously mentioned integral is replaced by a Mittag–Leffler function. They discovered the power series representation of the fractional MBF of the first kind, as well as some of its differential properties. Several fundamental open problems are stated in this work as well as many important practical applications that are yet to be discovered. View this paper - Issues are regarded as officially published after their release is announced to the table of contents alert mailing list .
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