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General Airy-type equations, heat-type equations and pseudo-processes (Q6667644)

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scientific article; zbMATH DE number 7971654

Language	Label	Description	Also known as
English	General Airy-type equations, heat-type equations and pseudo-processes	scientific article; zbMATH DE number 7971654

Statements

scholarly article

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General Airy-type equations, heat-type equations and pseudo-processes (English)

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Fabrizio Cinque

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Journal of Evolution Equations

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publication date

20 January 2025

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zbMATH Keywords

Scorer equation

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stable subordinators and inverses

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fractional operators

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MaRDI profile type

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Riesz fractional derivatives of solutions of differential equation <i>y</i><sup>(4)</sup> + <i>xy</i> = 0

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On fractional calculus of \(\mathcal A_{2n+1}(x)\) function

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On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\)

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On the solutions of linear odd-order heat-type equations with random initial conditions

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High order heat-type equations and random walks on the complex plane

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Analysis of fractional Cauchy problems with some probabilistic applications

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Generalized Measures in Function Spaces

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Explicit solutions of some fractional partial differential equations via stable subordinators

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The higher-order heat-type equations via signed Lévy stable and generalized Airy functions

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A signed measure on path space related to Wiener measure

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Distributions of sojourn time, maximum and minimum for pseudo-processes governed by higher-order heat-type equations

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First hitting time and place, monopoles and multipoles for pseudo-processes driven by the equation \(\frac{\partial}{\partial t}=\pm \frac {\partial ^{N}}{\partial x^N}\)

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A survey on the pseudo-process driven by the high-order heat-type equation \(\partial/\partial t=\pm\partial^N\!/\partial x^N\) concerning the hitting and sojourn times

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Stable distributions and pseudo-processes related to fractional Airy functions

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Probabilistic representation of fundamental solutions to \(\frac{\partial u}{\partial t} = \kappa _m \frac{\partial^m u}{\partial x^m}\)

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Pseudoprocesses Related to Space-Fractional Higher-Order Heat-Type Equations

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Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications

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Integral representations for products of Airy functions

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Integral representations for products of Airy functions. II: Cubic products

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Integral representations for products of Airy functions. III: Quartic products

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Integrals involving products of Airy functions, their derivatives and Bessel functions

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Identifiers

Mathematics Subject Classification ID

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zbMATH DE Number

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10.1007/S00028-024-01042-W

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Sitelinks

Mathematics(1 entry)

mardi Publication:6667644

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