F
Francesco Mainardi
Researcher at University of Bologna
Publications - 269
Citations - 24484
Francesco Mainardi is an academic researcher from University of Bologna. The author has contributed to research in topics: Fractional calculus & Random walk. The author has an hindex of 66, co-authored 264 publications receiving 22022 citations. Previous affiliations of Francesco Mainardi include Istituto Nazionale di Fisica Nucleare.
Papers
More filters
Journal Article
Wright-type Generalized Coherent States
TL;DR: In this article, a new generalization of coherent states based on the application of Wright functions is proposed, which leads to sub- or super-Poissonian behaviour. But the generalization does not consider the relationship between generalized coherent states and weighted Poisson distributions.
Posted Content
Non-Boltzmann Equilibrium Probability Densities for Non-Linear L\'{e}vy Oscillator
Aleksei V. Chechkin,Vsevolod Yu. Gonchar,Rudolf Gorenflo,Francesco Mainardi,Leonid V. Tanatarov +4 more
TL;DR: In this article, both analytically and by numerical modeling the equilibrium probability density function for an non-linear L -evy oscillator with the L-vy index \alpha, 1 \leq \alpha \LEq 2, and the potential energy x^4, it was shown that the equilibrium PDF is bimodal and has power law asymptotics with the exponent -(\alpha +3).
Journal Article
Wave Dispersion in the Linearised Fractional Korteweg – De Vries Equation
TL;DR: In this paper, the authors compare the dispersion relations emerging from the D'Alembert equation and from the linearized Korteweg-deVries equation with corresponding time-fractionalized versions.