The idea of fractional calculus (FC) is as old as traditional calculus. It was formulated in 1695, shortly after the development of classical calculus,
and the original question that led to the name fractional calculus was: Can the meaning of a derivative of integer order be extended to have a meaning when it is a fraction?
Since then, several mathematicians contributed to the development of FC, including Riemann, Liouville, Abel, Grunwald, Letnikov, Weyle and Riesz.
Until recently, research on FC was confined to the field of mathematics. However, in the last two decades, many applications of FC in various fields of engineering, science, mathematics,
bioengineering and economics have been found. As a result, FC has become an important topic for researchers in various fields.
This workshop is the part of the SERB CRG/2018/002654 project sanctioned to the organizer. The principal goal of this workshop is to present a systematic introduction to the fractional
derivatives and fractional PDEs, and its need to the current research areas including real life applications. Further, some problems of interest from science and engineering will be addressed.
The participants will be introduced to computational and analytical methods for the problems in fractional variational calculus such as fractional variational problems,
problems in fractional control and solving fractional differential equations. The applications of the fractional derivatives in the area of image/signal processing will also be addressed.
To conclude, some problems will be outlined, and challenges involved in solving them will be discussed, motivating young faculty members/ Post-doctorals/Ph.D. students to engage in research problems
in this rapidly developing area of research. Few lab sessions will also be conducted.
This workshop will provide a forum to faculty members and young researchers to interact with eminent speakers
and to enhance their cognizance in the field of fractional derivatives: Theory & Computations with applications in science and engineering.
Further, this will allow communication of intra and inter disciplinary ideas and will result in acceleration of new collaborations of applied mathematicians, numerical analysts, and the engineers.
For Workshop Brochure Click Here.