US - French Workshop and International Collaboration on Fractional Derivatives and Their Applications

美法研讨会和分数阶导数及其应用国际合作摘要本次研讨会的目的是正式启动两组研究人员（一组来自美国，另一组来自法国）在分数阶导数及其应用领域的合作研究计划。美国团队由7人组成，他们来自学术界、商界和政府的研究实验室。法国团队由13人组成，其中大部分来自波尔多大学和CRONE实验室。在研讨会期间，美国和法国团队将展示他们的研究成果，提出研究建议，并讨论双方团队如何在这些项目上进行合作。以下主题已确定在研讨会上讨论：工程系统的分数控制；粘弹性、泡沫、凝胶等材料及其工程和科学应用的基本认识与探索-实验/理论分数阶导数在盘式制动器、卡钳制动器、鼓式制动器、机床等热建模中的应用分析和数值工具和技术；分数阶动态系统的变分学与最优控制研究进展对波动和扩散现象及其测量和验证的基本理解；图像和信号处理。讨论将包括基础研究和应用研究及其对该领域的影响。此外，美国团队将参观CRONE和其他实验室的研究设施，并了解CRONE团队成员如何利用这些实验室来推进分数阶导数在工程和科学问题应用领域的知识。在工作坊结束时，参加者将制定初步的研究合作计划，他们将在回国后进一步发展和推行该计划。为此，将建立一个网站，记录讲习班的成果。它还将为与会者继续讨论提供一个机制。在未来，它还将记录团队成员在分数阶导数及其应用领域取得的进展。

US - French Workshop and International Collaboration on Fractional Derivatives and Their ApplicationsAbstract The purpose of this workshop is to formally initiate a collaborative research program between two teams of researchers (one from US and the other from France) in the area Fractional Derivatives and Their Applications. The US team consists of 7 people, and they come from academia, business, and government research labs. The French team consists of 13 people and most of them come from Bordeaux University and CRONE Lab. During the period of the workshop, the US and the French teams will present their research efforts, make research proposals, and discuss as to how the two teams will collaborate on these project. The following topics have been identified for discussion at the workshop: Fractional Control of Engineering Systems; Fundamental Understanding and Explorations of Viscoelastic, Foam, Gel and other type of Materials and Their Engineering and Scientific Applications - Experimental/Theoretical; Application of Fractional Derivatives to Thermal Modeling such as Disk, Caliper and Drum Brakes, Machine Tools; Analytical and Numerical Tools and Techniques; Advancement of Calculus of Variations and Optimal Control to Fractional Dynamic Systems; Fundamental understanding of wave and diffusion phenomenon, their measurements and verifications; and Image and signal processing. Discussion will include both fundamental as well as applied research and their impact on the field. In addition, the US team will visit the research facilities at the CRONE and other laboratories, and learn how the CRONE team members are using these laboratories to advance the knowledge in the field of applications of fractional derivatives to engineering and scientific problems. At the end of the workshop, the participants will develop a preliminary research collaboration plan that they will further develop and pursue upon their return. To facilitate this, a web-site will be created that will document the outcome of the workshop. It will also provide a mechanism for continuing discussion by the participants. In the future, it will also document progress made by the team members in the area of Fractional Derivatives and Their Applications.