Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series
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Otros documentos de la autoría: Burgos Simón, Clara; Calatayud, Julia; Cortés, Juan Carlos; Villafuerte, L.
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https://doi.org/10.1016/j.aml.2017.11.009 |
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Título
Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power seriesFecha de publicación
2017-11Editor
Elsevier Ltd.ISSN
0893-9659Cita bibliográfica
Burgos, C., Calatayud, J., Cortés, J. C., & Villafuerte, L. (2018). Solving a class of random non-autonomous linear fractional differential equations by means of a generalized mean square convergent power series. Applied Mathematics Letters, 78, 95-104.Tipo de documento
info:eu-repo/semantics/articleVersión de la editorial
https://www.sciencedirect.com/science/article/pii/S0893965917303464?via%3Dihub#d1e596Versión
info:eu-repo/semantics/publishedVersionPalabras clave / Materias
Resumen
The aim of this paper is to solve a class of non-autonomous linear fractional differential equations with random inputs. A mean square convergent series solution is constructed in the case that the fractional order ... [+]
The aim of this paper is to solve a class of non-autonomous linear fractional differential equations with random inputs. A mean square convergent series solution is constructed in the case that the fractional order of that Caputo derivative lies in using a random Fröbenius approach. The analysis is conducted by using the so-called mean square random calculus. The mean square convergence of the series solution is established assuming mild conditions on random inputs (diffusion coefficient and initial condition). We show that these conditions are satisfied for a variety of unbounded random variables. In addition, explicit expressions to approximate the mean, the variance and the covariance functions of the random series solution are given. Two full illustrative examples are shown. [-]
Publicado en
Applied Mathematics Letters, Vol. 78 (April 2018)Entidad financiadora
Ministerio de Economía y Competitividad
Código del proyecto o subvención
MTM2013-41765-P
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© 2017 Elsevier Ltd. All rights reserved.
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