Fractional Calculus from mathematician’s paradox to application in physics and engineering

Abstract:

Today fractional calculus is far from paradox. In this talk, We will
discuss some physical observations of fractional calculus in practical
experiments. We will develop the fractional derivative and fractional
integration concepts with simple arguments, some the paradoxical
situations in the process, and propose methods to circumvent these
situations. Also we will discuss why fractional calculus seems to
represent dynamics better than classical Newtonian/Leibniz’s calculus-that
we are used to. We will point out the non-local character of fractional
derivative, inherently thus having memory or history vis-à-vis local
character (point property) of classical derivative. We will argue that it
is possible to characterize non-differentiable points by fractional
derivative, which can have immense applications.

About the Speaker:

Shantanu Das graduated from BITS Pilani and since 1984, he is working in
the area of Nuclear Reactor Control and Safety at BARC. Several of his
circuits are being used in the safety and safety critical systems of
NPCIL's Nuclear plants and in other research reactors.  He is working on
Fractional Calculus since about 1998, in order to understand natural laws
and to engineer for betterment in controls, signal processing and systems
identification. He is a Honorary Senior Research Professor at Jadavpur
University, Adjunct Professor at DIAT Pune, and UGC Visiting Fellow at
Calcutta University. He has several publications (books journal and
conference papers) and patents to his credit.