In a simple preferential attachment network model, replacing the time derivative with a fractional-order derivative makes node activity peak and then decline, which the authors interpret as aging due to memory.
Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation
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abstract
A solution to the more than 300-years old problem of geometric and physical interpretation of fractional integration and differentiation (i.e., integration and differentiation of an arbitrary real order) is suggested for the Riemann-Liouville fractional integration and differentiation, the Caputo fractional differentiation, the Riesz potential, and the Feller potential. It is also generalized for giving a new geometric and physical interpretation of more general convolution integrals of the Volterra type. Besides this, a new physical interpretation is suggested for the Stieltjes integral.
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physics.soc-ph 1years
2019 1verdicts
REJECT 1representative citing papers
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Memory effects on link formation in temporal networks: A fractional calculus approach
In a simple preferential attachment network model, replacing the time derivative with a fractional-order derivative makes node activity peak and then decline, which the authors interpret as aging due to memory.