The tempered space-fractional Cattaneo equation
Luisa Beghin, Roberto Garra, Francesco Mainardi, Gianni Pagnini
TL;DR
This paper investigates the tempered space-fractional Cattaneo equation, deriving its characteristic function and highlighting key differences from earlier stochastic models of the same equation.
Contribution
It introduces a novel analysis of the tempered space-fractional Cattaneo equation, providing new insights into its stochastic properties and solutions.
Findings
Derived the characteristic function of the process
Identified main differences with previous stochastic treatments
Enhanced understanding of tempered space-fractional dynamics
Abstract
We consider the time-fractional Cattaneo equation involving the tempered Caputo space-fractional derivative. We find the characteristic function of the related process and we explain the main differences with previous stochastic treatments of the time-fractional Cattaneo equation.
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Taxonomy
TopicsFractional Differential Equations Solutions · Nonlinear Differential Equations Analysis · Differential Equations and Numerical Methods