报告题目：Direct method in the fractional calculus of variations
报告时间：2023年9月1日下午16:00–19:00
报告地点：乐学楼1030
报 告 人：Hossein Fazli博士
主办单位： 力学与材料学院水力学与流体力学研究所
江苏省力学学会环境与灾害力学专业委员会
欢迎广大师生参加！
报告摘要：
The purpose of the calculus of variations is to find optimal solutions to engineering problems whose optimum may be a certain quantity, shape, or function. The Direct method in the calculus of variations uses some relatively simple techniques from non-linear analysis to solve the related variational problem. In this lecture first we shall review a general formulation of the fractional variational problems and then we discuss about the necessary tools from non-linear analysis for this kind of problems. In contrast to the classical variational problems, we face two mathematical difficulties in applying the direct method in the fractional variational problems: firstly the awkward nature of fractional operators, and secondly the loss of some necessary tools from nonlinear analysis such as the compactness and embedding results. To overcome these difficulties, a comprehensive analysis should be done with respect to related fractional operators.
学术报告二
报告题目：Fractional variational problems and Euler-Lagrange equations
报告时间：2023年9月4日下午16:00–19:00
报告地点：乐学楼1030
报 告 人：Hossein Fazli博士
主办单位： 力学与材料学院水力学与流体力学研究所
江苏省力学学会环境与灾害力学专业委员会
欢迎广大师生参加！
报告摘要：
We investigate the problem of finding an admissible function giving a minimum value to an integral functional that depends on an unknown function (or functions) of one or several variables and its generalized fractional derivatives and/or generalized fractional integrals. The appropriate Euler–Lagrange equations and natural boundary conditions are obtained.
报告人简介：
Hossein Fazli graduated in Applied Mathematics at the University of Tabriz in 2011.
He received his Ph.D. degree in Applied Mathematics at the University of Tabriz in 2015. Dr. Fazli worked as a Postdoctoral Research Assistant in the College of Mechanics and Materials at Hohai University from 2019 to 2021. He is an independent researcher and he works as a lecturer at the Faculty of Mathematical Sciences of the University of Tabriz. His professional experience spans across a wide range of Applied Mathematics projects in China and Iran, where his research interests are within the broad domain of fractional calculus, theory of differentional equations, nonlinear analysis and calculus of variations.