Molding the Dynamic System with Memory-Dependent Derivative
As a new alternative of fractional-order derivative, we have brought forth the concept of 搈emory-dependent derivative? It is more .exible than the fractional-order one in describing the memory effect. In fact, not only the timedelay but also the weighted function can be chosen freely to adapt the request of different dynamic processes. As an example of applications the Malthus population model in ecology is studied. It follows from numerical simulations that the memory-dependent differential equation type of model has more power in representing the variation of population evolution. Theoretical study reveals that to ensure the existence and uniqueness of solution the time delay should smaller than an upper bound determined by the weighted function. Till now, the study on the theory and applications of memory-dependent derivative is just on its prime stage, it needs further research.
Memory-Dependent Derivative Memory-Dependent Differential Equation(MDDE) Fractional Derivative Time-Delay Malthus Population Model.
LI Huifeng WANG Jinliang
Facultyof Institute of Applied Mathematics, College of science, QingdaoTechnological University, Eas Faculty of Institute of Applied Mathematics, College of science, Qingdao Technological University, E
国际会议
The 24th Chinese Control and Decision Conference (第24届中国控制与决策学术年会 2012 CCDC)
太原
英文
1032-1036
2012-05-23（万方平台首次上网日期，不代表论文的发表时间）