Special Issue "Generalized Fractional Dynamics in Graphs and Complex Systems"
Deadline for manuscript submissions: 30 November 2023 | Viewed by 6398
Interests: fractional stochastic processes; branching models
Interests: applied mathematics; mathematical modelling and analysis; dynamics and wave propagation; network science; random walks; stochastic processes; fractional calculus and its generalizations; applied probability; fractals
Random walks are among the most fundamental stochastic processes that occur ubiquitously in various interdisciplinary contexts, such as in biological networks, the foraging of animals, epidemic spreading, financial markets, human mobility patterns, friendship networks, communication in online networks, aging of living systems, anomalous transport and diffusion, and generally in the dynamics of “complex systems”.
It has become apparent that there are deep connections of several aspects of the “complexity” of a system and fractional dynamic behavior exhibiting long-range correlations and self-similarity (scaling laws) with non-Markovian long memory features.
The Special Issue “Generalized Fractional Dynamics in Graphs and Complex Systems” aims to gather research articles or reviews with recent advances in wider interdisciplinary areas such as continuous-time random walks, stochastic motions in networks with long-range jumps, turbulent diffusion and motions, random search, anomalous transport phenomena, Lévy flights, stochastic motions in directed graphs, epidemic spreading, quantitative models of aging phenomena in living systems, models on fractal aspects of stochastic motions and related topics.
The focus of this Special Issue also encourages contributions involving new approaches of recently emerging generalizations of fractional calculus; e.g., “Prabhakar general fractional calculus” and their applications.
Prof. Dr. Federico Polito
Dr. Thomas Michelitsch
Dr. Alejandro P. Riascos
Manuscript Submission Information
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- Random motions in networks
- Long-range navigation in graphs
- Anomalous transport
- Biased random motion
- General Fractional Calculus
- Mittag-Leffler functions and generalizations
- Fat-tailed distributions and scaling laws