4th Mathematics Webinar
Fractional Calculus and Its Applications
The idea of a fractional derivative and a fractional integral (the fractional calculus) goes back to the time when (integer) calculus was being developed in the late Seventeenth Century. In a letter from Guillaume l’Hospital to Gottfried von Leibnitz written in 1695, l’Hospital asked the following question: “Given that dnf(x)/dxn exists for all integer n, what if n be ½”? The reply from Leibnitz was all the more interesting: “It will lead to a paradox ... From this paradox, one day useful consequences will be drawn”. The foundations of Fractional Calculus were constructed later in the Nineteenth Century by mathematicians such as Joseph Liouville, and, in particular, Niels Henrik Abel, whose work led to the re-birth of the subject. During this period, many of the fundamental elements of the subject were conceived including the mutual inverse relationships between fractional-order integrals and differentials in terms of the same generalized operations.
Although both the theory and applications of fractional calculus continued to be developed over the Twentieth Century, relatively few papers, journals, conferences, and books were devoted to the subject compared to other areas of mathematics. However, since the start of the current century, there has been a considerable expansion of interests in the subject area, coupled with a growing range of applications. It is in this context that this webinar is being provided which will cover aspects of the history of the subject, its more recent developments, and some of the modern applications to which it is being applied.
Date: 25 November 2022
Time: 2:00 pm CET | 8:00 am EST | 9:00 pm CST Asia
Webinar ID: 881 3441 2882
Webinar Secretariat: mathematics.webinar@mdpi.com