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

美法分数导数及其应用研讨会及国际合作

• 批准号: 0425093
• 负责人: Om Prakash Agrawal
• 金额: $ 1.6万
• 依托单位: Southern Illinois University at Carbondale
• 依托单位国家: 美国
• 项目类别: Standard Grant
• 财政年份: 2004
• 资助国家: 美国
• 起止时间: 2004-07-15 至 2006-01-31
• 项目状态: 已结题
• 来源: https://www.nsf.gov/awardsearch/showAward?AWD_ID=0425093&HistoricalAwards=false
• 关键词: US; French; Workshop; International; Collaboration

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.

美国-法国研讨会和国际合作分数导数及其应用摘要本次研讨会的目的是正式启动两个研究团队（一个来自美国，另一个来自法国）在分数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，企业和政府研究实验室。 法国团队由13人组成，大部分来自波尔多大学和CRONE实验室。 在研讨会期间，美国和法国团队将介绍他们的研究成果，提出研究建议，并讨论两个团队将如何在这些项目上合作。 已确定在讲习班上讨论以下主题：工程系统的分数控制;粘弹性、泡沫、凝胶和其他类型材料及其工程和科学应用的基本认识和探索-实验/理论;分数导数在盘形、卡钳和鼓式制动器、机床等热模型中的应用;分析和数值工具和技术;分数阶动力系统的变分法和最优控制的进展;对波和扩散现象的基本理解，它们的测量和验证;以及图像和信号处理。 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，美国代表团将参观CRONE的研究设施和其他实验室，并了解CRONE团队成员如何利用这些实验室来推进分数导数在工程和科学问题应用领域的知识。 在研讨会结束时，与会者将制定一个初步的研究合作计划，他们将在返回后进一步发展和追求。 为便利这项工作，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导数及其应用领域所取得的进展。