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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.

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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

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.