Constructing reliable approximations of the random fractional Hermite equation: solution, moments and density

We extend the study of the random Hermite second-order ordinary differential equation to the fractional setting. We first construct a random generalized power series that solves the equation in the mean square sense under mild hypotheses on the random inputs (coefficients and initial conditions). Fr...

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Veröffentlicht in:	Computational & applied mathematics 2023-04, Vol.42 (3), Article 140
Hauptverfasser:	Burgos, Clara, Caraballo, Tomás, Cortés, Juan Carlos, Villafuerte, Laura, Villanueva, Rafael Jacinto
Format:	Artikel
Sprache:	eng
Schlagworte:	Applications of Mathematics Applied physics Approximation Computational mathematics Computational Mathematics and Numerical Analysis Differential equations Initial conditions Mathematical Applications in Computer Science Mathematical Applications in the Physical Sciences Mathematics Mathematics and Statistics Power series Probability density functions Random variables Stochastic processes
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