Workshop on Dynamics, Control and Numerics of Fractional Partial Differential Equations
Abstract
Major Goals: The present workshop deals with various aspects of fractional partial differential equations and its relevant applications to modern science and technology. The theoretical aspects involve diverse methods from analysis, operator theory, partial differential equations,stochastic differential equations and integral equations. The more applied aspects of the workshop deal with controllability, observability and stabilization as well as numerical treatment of the equations arising from models encountered in areas such as viscoelasticity, anomalous transport and diffusion, image processing and phase field models, biology and ecology. These topics are covered by the Army Research Office (ARO) programs in "Numerical Analysis" and "Stochastic Differential Equations". In the area of fractional differential equations, new challenges emerge regarding the numerical treatment of the various problems involved. Due to its importance in applications, fractional calculus and anomalous diffusion have become a central point of investigation in partial differential equations, applied mathematics, computational mathematics and in many research laboratories all over the country. The workshop brought together researchers from the fields covered bythe topics of the workshop: those working in pure mathematics, applied and computational mathematics and researchers working in the national laboratories. They presented some of their most relevant results so far obtained. Several international experts on the main topics of the conference gave talks about their research work, reflected about they experience and discussed perspectives for future investigations. Several very deep results and concrete applications in the industry of fractional PDEs were presented, including the emerging field of peridynamics. To summarize, we believe that the goals described in workshop proposal were accomplished.
Document Details
- Document Type
- Technical Report
- Publication Date
- Jan 23, 2019
- Accession Number
- AD1078253
Entities
People
- Mahamadi Warma
Organizations
- University of Puerto Rico