Mathematical modeling of time fractional reaction–diffusion systems
نویسندگان
چکیده
منابع مشابه
Mathematical Modeling of the Temperature-Dependent Growth of Living Systems
In this investigation a non-equilibrium thermodynamic model of the temperature dependent biological growth of a living systems has been analyzed. The results are derived on the basis of Gompertzian growth equation. In this model, we have considered the temperature dependent growth rate and development parameter. The non-equilibrium thermodynamic model is also considered for exploring the variat...
متن کاملFinite Time Mix Synchronization of Delay Fractional-Order Chaotic Systems
Chaos synchronization of coupled fractional order differential equation is receiving increasing attention because of its potential applications in secure communications and control processing. The aim of this paper is synchronization between two identical or different delay fractional-order chaotic systems in finite time. At first, the predictor-corrector method is used to obtain the solutions ...
متن کاملDiscrete-Time Fractional-Order Systems: Modeling and Stability Issues
Starting from the sixties, the research in this domain of interest has progressively put to light important concepts associated with formulations using non-integer order derivative. Indeed, non-integer order derivative revealed to be a more adequate tool for the understanding of interesting properties shown by various types of physical phenomena, that is, fractality, recursivity, diffusion and/...
متن کاملMathematical Modeling for Homogeneous Tumor with Delay in Time
Due to the properties of tumor cell, the tumor establishes itself in the organ and grows there, so there is a competition between the tumor cells and host cell (normal cells) for nutrients. Evidences show that high dietary phosphorus increases the rate of protein synthesis and thus the cell number. So, other than oxygen, sulfur, the important element that both tumor cells and normal cells need ...
متن کاملIntroducing a New Mathematical Abstraction for Modeling Real Time Systems
Due to the increasing complexity of industrial production systems, there exists a need for the development of efficient formal approaches for their analysis and control. Various methods have been proposed and examined from researchers, without being widely adopted for direct industrial use. In general, an industrial production line can be modelled as a Discrete Event System, but a more accurate...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Computational and Applied Mathematics
سال: 2008
ISSN: 0377-0427
DOI: 10.1016/j.cam.2007.08.011