Seminar in EDP and Applied Mathematics

July 24, 2024 – 14h (Brazil)

Streaming: Youtube Channel | SEMINARIO DE EDP E MATEMATICA APLICADA

Event

About Seminars

Our Online Seminar is one of the most important events in Brazil, it has been held since August 2020, every Wednesday at 2 pm, Brasília time, with a frequency of 14 days. Two 40-minute lectures are presented in each session. Our speakers are world-renowned mathematicians from Europe, the United States and South America.

Featured Talks & Speakers

Praveen Agarwal

Anand International College of Engineering-India Ajman University,-United Arab Emirates.

14:00h – 14:40h

Extended Caputo k- type fractional derivative operator

Some fractional integral and derivative operators of any arbitrary order have gained considerable popularity and importance during the past few decades. The Caputo fractional derivative operator is one of the most popular of them which provides an improved formula for fractional derivatives. In this talk, we present some extensions of the k- hypergeometric functions and then develop the extended Caputo k- type fractional derivative operator by using two parameters k- Mittag-Le er function. We also discuss some properties like generating functions and Mellin transform of the new extended Caputo k- type fractional derivative operator.

Hannes Meinlschmidt

Department of Mathematics, FAU Erlangen-Nürnberg-Germany

14:50h – 15:30h

Renormalized solutions for optimal control of the drift in Fokker-Planck equations

We consider a bilinear optimal control problem subject to a
Fokker-Planck equation, where the control acts as the temporal amplitude of a given spatial vector field in the first-order drift term. The
problem setup regarding the spatial vector field is going to be very
restrictive, so we cannot rely on the usual energy methods; this is
motivated by applications. We thus propose to work with a renormalized
concept of solutions here, which is however inherently nonlinear and
thus in principle not compatible with established optimal control
theory. It will be shown how to overcome these issues and how to
establish optimality conditions for the optimal control problem.

About Organization

Juan Limaco -UFF-Coordenador
Mauro Rincon – UFRJ – Brazil
Anna Doubova-U.Sevilla-Spain

Luz de Teresa-UNAM Mexico

Diego Souza – U Sevilla -Spain

Felipe Chaves-UFPB-Brazil

Roberto Capistrano – UFPE Brazil
Sandra Malta – LNCC – Brazil
Marcelo Cavalcanti – UEM – Brazil;
Rui Almeida – UBI – Portugal
Roxana Lopez – UNMSM – Peru;
Mauricio Sepulveda – UdeC -Chile;