Affiliation:
1. Hohai University, College of Mechanics and Materials, Institute of Soft Matter Mechanics, Nanjing, Jiangsu, China
2. Faculty of Mechanical Engineering, Belgrade
Abstract
This paper pays attention to develop a variable-order fractal derivative
model for anomalous diffusion. Previous investigations have indicated that
the medium structure, fractal dimension or porosity may change with time or
space during solute transport processes, results in time or spatial dependent
anomalous diffusion phenomena. Hereby, this study makes an attempt to
introduce a variable-order fractal derivative diffusion model, in which the
index of fractal derivative depends on temporal moment or spatial position,
to characterize the above mentioned anomalous diffusion (or transport)
processes. Compared with other models, the main advantages in description and
the physical explanation of new model are explored by numerical simulation.
Further discussions on the dissimilitude such as computational efficiency,
diffusion behavior and heavy tail phenomena of the new model and
variable-order fractional derivative model are also offered.
Publisher
National Library of Serbia
Subject
Renewable Energy, Sustainability and the Environment
Cited by
22 articles.
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